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gezelter |
1930 |
!! |
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!! Copyright (c) 2005 The University of Notre Dame. All Rights Reserved. |
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!! |
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!! The University of Notre Dame grants you ("Licensee") a |
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!! non-exclusive, royalty free, license to use, modify and |
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!! redistribute this software in source and binary code form, provided |
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!! that the following conditions are met: |
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!! |
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!! 1. Acknowledgement of the program authors must be made in any |
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!! publication of scientific results based in part on use of the |
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!! program. An acceptable form of acknowledgement is citation of |
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!! the article in which the program was described (Matthew |
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!! A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher |
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!! J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented |
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!! Parallel Simulation Engine for Molecular Dynamics," |
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!! J. Comput. Chem. 26, pp. 252-271 (2005)) |
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!! |
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!! 2. Redistributions of source code must retain the above copyright |
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!! notice, this list of conditions and the following disclaimer. |
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!! |
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!! 3. Redistributions in binary form must reproduce the above copyright |
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!! notice, this list of conditions and the following disclaimer in the |
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!! documentation and/or other materials provided with the |
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!! distribution. |
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!! |
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!! This software is provided "AS IS," without a warranty of any |
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!! kind. All express or implied conditions, representations and |
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!! warranties, including any implied warranty of merchantability, |
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!! fitness for a particular purpose or non-infringement, are hereby |
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!! excluded. The University of Notre Dame and its licensors shall not |
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!! be liable for any damages suffered by licensee as a result of |
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!! using, modifying or distributing the software or its |
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!! derivatives. In no event will the University of Notre Dame or its |
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!! licensors be liable for any lost revenue, profit or data, or for |
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!! direct, indirect, special, consequential, incidental or punitive |
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!! damages, however caused and regardless of the theory of liability, |
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!! arising out of the use of or inability to use software, even if the |
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!! University of Notre Dame has been advised of the possibility of |
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!! such damages. |
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!! |
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gezelter |
1608 |
module eam |
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use simulation |
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use force_globals |
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use status |
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use atype_module |
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use Vector_class |
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#ifdef IS_MPI |
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use mpiSimulation |
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#endif |
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implicit none |
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PRIVATE |
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chuckv |
1624 |
INTEGER, PARAMETER :: DP = selected_real_kind(15) |
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gezelter |
1608 |
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logical, save :: EAM_FF_initialized = .false. |
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integer, save :: EAM_Mixing_Policy |
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real(kind = dp), save :: EAM_rcut |
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logical, save :: haveRcut = .false. |
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character(len = statusMsgSize) :: errMesg |
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integer :: eam_err |
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character(len = 200) :: errMsg |
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character(len=*), parameter :: RoutineName = "EAM MODULE" |
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!! Logical that determines if eam arrays should be zeroed |
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logical :: cleanme = .true. |
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logical :: nmflag = .false. |
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type, private :: EAMtype |
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integer :: eam_atype |
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real( kind = DP ) :: eam_dr |
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integer :: eam_nr |
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integer :: eam_nrho |
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real( kind = DP ) :: eam_lattice |
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real( kind = DP ) :: eam_drho |
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real( kind = DP ) :: eam_rcut |
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integer :: eam_atype_map |
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real( kind = DP ), pointer, dimension(:) :: eam_rvals => null() |
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real( kind = DP ), pointer, dimension(:) :: eam_rhovals => null() |
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real( kind = DP ), pointer, dimension(:) :: eam_F_rho => null() |
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real( kind = DP ), pointer, dimension(:) :: eam_Z_r => null() |
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real( kind = DP ), pointer, dimension(:) :: eam_rho_r => null() |
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real( kind = DP ), pointer, dimension(:) :: eam_phi_r => null() |
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real( kind = DP ), pointer, dimension(:) :: eam_F_rho_pp => null() |
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real( kind = DP ), pointer, dimension(:) :: eam_Z_r_pp => null() |
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real( kind = DP ), pointer, dimension(:) :: eam_rho_r_pp => null() |
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real( kind = DP ), pointer, dimension(:) :: eam_phi_r_pp => null() |
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end type EAMtype |
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!! Arrays for derivatives used in force calculation |
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real( kind = dp), dimension(:), allocatable :: frho |
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real( kind = dp), dimension(:), allocatable :: rho |
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real( kind = dp), dimension(:), allocatable :: dfrhodrho |
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real( kind = dp), dimension(:), allocatable :: d2frhodrhodrho |
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!! Arrays for MPI storage |
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#ifdef IS_MPI |
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real( kind = dp),save, dimension(:), allocatable :: dfrhodrho_col |
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real( kind = dp),save, dimension(:), allocatable :: dfrhodrho_row |
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real( kind = dp),save, dimension(:), allocatable :: frho_row |
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real( kind = dp),save, dimension(:), allocatable :: frho_col |
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real( kind = dp),save, dimension(:), allocatable :: rho_row |
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real( kind = dp),save, dimension(:), allocatable :: rho_col |
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real( kind = dp),save, dimension(:), allocatable :: rho_tmp |
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real( kind = dp),save, dimension(:), allocatable :: d2frhodrhodrho_col |
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real( kind = dp),save, dimension(:), allocatable :: d2frhodrhodrho_row |
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#endif |
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type, private :: EAMTypeList |
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integer :: n_eam_types = 0 |
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integer :: currentAddition = 0 |
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type (EAMtype), pointer :: EAMParams(:) => null() |
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end type EAMTypeList |
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type (eamTypeList), save :: EAMList |
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!! standard eam stuff |
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public :: init_EAM_FF |
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public :: setCutoffEAM |
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public :: do_eam_pair |
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public :: newEAMtype |
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public :: calc_eam_prepair_rho |
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public :: calc_eam_preforce_Frho |
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public :: clean_EAM |
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contains |
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subroutine newEAMtype(lattice_constant,eam_nrho,eam_drho,eam_nr,& |
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eam_dr,rcut,eam_Z_r,eam_rho_r,eam_F_rho,& |
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eam_ident,status) |
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real (kind = dp ) :: lattice_constant |
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integer :: eam_nrho |
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real (kind = dp ) :: eam_drho |
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integer :: eam_nr |
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real (kind = dp ) :: eam_dr |
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real (kind = dp ) :: rcut |
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real (kind = dp ), dimension(eam_nr) :: eam_Z_r |
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real (kind = dp ), dimension(eam_nr) :: eam_rho_r |
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real (kind = dp ), dimension(eam_nrho) :: eam_F_rho |
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integer :: eam_ident |
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integer :: status |
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integer :: nAtypes |
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integer :: maxVals |
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integer :: alloc_stat |
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integer :: current |
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integer,pointer :: Matchlist(:) => null() |
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status = 0 |
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!! Assume that atypes has already been set and get the total number of types in atypes |
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!! Also assume that every member of atypes is a EAM model. |
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! check to see if this is the first time into |
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if (.not.associated(EAMList%EAMParams)) then |
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call getMatchingElementList(atypes, "is_EAM", .true., nAtypes, MatchList) |
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EAMList%n_eam_types = nAtypes |
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allocate(EAMList%EAMParams(nAtypes)) |
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end if |
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EAMList%currentAddition = EAMList%currentAddition + 1 |
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current = EAMList%currentAddition |
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call allocate_EAMType(eam_nrho,eam_nr,EAMList%EAMParams(current),stat=alloc_stat) |
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if (alloc_stat /= 0) then |
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status = -1 |
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return |
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end if |
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! this is a possible bug, we assume a correspondence between the vector atypes and |
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! EAMAtypes |
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EAMList%EAMParams(current)%eam_atype = eam_ident |
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EAMList%EAMParams(current)%eam_lattice = lattice_constant |
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EAMList%EAMParams(current)%eam_nrho = eam_nrho |
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EAMList%EAMParams(current)%eam_drho = eam_drho |
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EAMList%EAMParams(current)%eam_nr = eam_nr |
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EAMList%EAMParams(current)%eam_dr = eam_dr |
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EAMList%EAMParams(current)%eam_rcut = rcut |
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EAMList%EAMParams(current)%eam_Z_r = eam_Z_r |
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EAMList%EAMParams(current)%eam_rho_r = eam_rho_r |
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EAMList%EAMParams(current)%eam_F_rho = eam_F_rho |
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end subroutine newEAMtype |
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subroutine init_EAM_FF(status) |
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integer :: status |
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integer :: i,j |
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real(kind=dp) :: current_rcut_max |
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integer :: alloc_stat |
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integer :: number_r, number_rho |
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status = 0 |
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if (EAMList%currentAddition == 0) then |
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call handleError("init_EAM_FF","No members in EAMList") |
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status = -1 |
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return |
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end if |
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do i = 1, EAMList%currentAddition |
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! Build array of r values |
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do j = 1,EAMList%EAMParams(i)%eam_nr |
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EAMList%EAMParams(i)%eam_rvals(j) = & |
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real(j-1,kind=dp)* & |
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EAMList%EAMParams(i)%eam_dr |
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end do |
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! Build array of rho values |
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do j = 1,EAMList%EAMParams(i)%eam_nrho |
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EAMList%EAMParams(i)%eam_rhovals(j) = & |
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real(j-1,kind=dp)* & |
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EAMList%EAMParams(i)%eam_drho |
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end do |
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! convert from eV to kcal / mol: |
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EAMList%EAMParams(i)%eam_F_rho = EAMList%EAMParams(i)%eam_F_rho * 23.06054E0_DP |
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! precompute the pair potential and get it into kcal / mol: |
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EAMList%EAMParams(i)%eam_phi_r(1) = 0.0E0_DP |
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do j = 2, EAMList%EAMParams(i)%eam_nr |
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EAMList%EAMParams(i)%eam_phi_r(j) = (EAMList%EAMParams(i)%eam_Z_r(j)**2)/EAMList%EAMParams(i)%eam_rvals(j) |
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EAMList%EAMParams(i)%eam_phi_r(j) = EAMList%EAMParams(i)%eam_phi_r(j)*331.999296E0_DP |
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enddo |
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end do |
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do i = 1, EAMList%currentAddition |
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number_r = EAMList%EAMParams(i)%eam_nr |
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number_rho = EAMList%EAMParams(i)%eam_nrho |
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call eam_spline(number_r, EAMList%EAMParams(i)%eam_rvals, & |
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EAMList%EAMParams(i)%eam_rho_r, & |
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EAMList%EAMParams(i)%eam_rho_r_pp, & |
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0.0E0_DP, 0.0E0_DP, 'N') |
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call eam_spline(number_r, EAMList%EAMParams(i)%eam_rvals, & |
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EAMList%EAMParams(i)%eam_Z_r, & |
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EAMList%EAMParams(i)%eam_Z_r_pp, & |
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0.0E0_DP, 0.0E0_DP, 'N') |
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call eam_spline(number_rho, EAMList%EAMParams(i)%eam_rhovals, & |
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EAMList%EAMParams(i)%eam_F_rho, & |
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EAMList%EAMParams(i)%eam_F_rho_pp, & |
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0.0E0_DP, 0.0E0_DP, 'N') |
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call eam_spline(number_r, EAMList%EAMParams(i)%eam_rvals, & |
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EAMList%EAMParams(i)%eam_phi_r, & |
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EAMList%EAMParams(i)%eam_phi_r_pp, & |
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0.0E0_DP, 0.0E0_DP, 'N') |
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enddo |
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! current_rcut_max = EAMList%EAMParams(1)%eam_rcut |
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!! find the smallest rcut for any eam atype |
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! do i = 2, EAMList%currentAddition |
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! current_rcut_max =max(current_rcut_max,EAMList%EAMParams(i)%eam_rcut) |
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! end do |
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! EAM_rcut = current_rcut_max |
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! EAM_rcut_orig = current_rcut_max |
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! do i = 1, EAMList%currentAddition |
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! EAMList%EAMParam(i)s%eam_atype_map(eam_atype(i)) = i |
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! end do |
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!! Allocate arrays for force calculation |
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call allocateEAM(alloc_stat) |
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if (alloc_stat /= 0 ) then |
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write(*,*) "allocateEAM failed" |
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status = -1 |
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return |
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endif |
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end subroutine init_EAM_FF |
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!! routine checks to see if array is allocated, deallocates array if allocated |
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!! and then creates the array to the required size |
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subroutine allocateEAM(status) |
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integer, intent(out) :: status |
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#ifdef IS_MPI |
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integer :: nAtomsInRow |
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integer :: nAtomsInCol |
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#endif |
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integer :: alloc_stat |
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status = 0 |
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#ifdef IS_MPI |
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nAtomsInRow = getNatomsInRow(plan_atom_row) |
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nAtomsInCol = getNatomsInCol(plan_atom_col) |
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#endif |
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if (allocated(frho)) deallocate(frho) |
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allocate(frho(nlocal),stat=alloc_stat) |
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if (alloc_stat /= 0) then |
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status = -1 |
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return |
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end if |
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if (allocated(rho)) deallocate(rho) |
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allocate(rho(nlocal),stat=alloc_stat) |
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if (alloc_stat /= 0) then |
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status = -1 |
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return |
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end if |
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if (allocated(dfrhodrho)) deallocate(dfrhodrho) |
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allocate(dfrhodrho(nlocal),stat=alloc_stat) |
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if (alloc_stat /= 0) then |
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status = -1 |
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return |
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end if |
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if (allocated(d2frhodrhodrho)) deallocate(d2frhodrhodrho) |
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allocate(d2frhodrhodrho(nlocal),stat=alloc_stat) |
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if (alloc_stat /= 0) then |
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status = -1 |
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return |
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end if |
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#ifdef IS_MPI |
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if (allocated(rho_tmp)) deallocate(rho_tmp) |
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allocate(rho_tmp(nlocal),stat=alloc_stat) |
| 338 |
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|
if (alloc_stat /= 0) then |
| 339 |
|
|
status = -1 |
| 340 |
|
|
return |
| 341 |
|
|
end if |
| 342 |
|
|
|
| 343 |
|
|
|
| 344 |
|
|
if (allocated(frho_row)) deallocate(frho_row) |
| 345 |
|
|
allocate(frho_row(nAtomsInRow),stat=alloc_stat) |
| 346 |
|
|
if (alloc_stat /= 0) then |
| 347 |
|
|
status = -1 |
| 348 |
|
|
return |
| 349 |
|
|
end if |
| 350 |
|
|
if (allocated(rho_row)) deallocate(rho_row) |
| 351 |
|
|
allocate(rho_row(nAtomsInRow),stat=alloc_stat) |
| 352 |
|
|
if (alloc_stat /= 0) then |
| 353 |
|
|
status = -1 |
| 354 |
|
|
return |
| 355 |
|
|
end if |
| 356 |
|
|
if (allocated(dfrhodrho_row)) deallocate(dfrhodrho_row) |
| 357 |
|
|
allocate(dfrhodrho_row(nAtomsInRow),stat=alloc_stat) |
| 358 |
|
|
if (alloc_stat /= 0) then |
| 359 |
|
|
status = -1 |
| 360 |
|
|
return |
| 361 |
|
|
end if |
| 362 |
|
|
if (allocated(d2frhodrhodrho_row)) deallocate(d2frhodrhodrho_row) |
| 363 |
|
|
allocate(d2frhodrhodrho_row(nAtomsInRow),stat=alloc_stat) |
| 364 |
|
|
if (alloc_stat /= 0) then |
| 365 |
|
|
status = -1 |
| 366 |
|
|
return |
| 367 |
|
|
end if |
| 368 |
|
|
|
| 369 |
|
|
|
| 370 |
|
|
! Now do column arrays |
| 371 |
|
|
|
| 372 |
|
|
if (allocated(frho_col)) deallocate(frho_col) |
| 373 |
|
|
allocate(frho_col(nAtomsInCol),stat=alloc_stat) |
| 374 |
|
|
if (alloc_stat /= 0) then |
| 375 |
|
|
status = -1 |
| 376 |
|
|
return |
| 377 |
|
|
end if |
| 378 |
|
|
if (allocated(rho_col)) deallocate(rho_col) |
| 379 |
|
|
allocate(rho_col(nAtomsInCol),stat=alloc_stat) |
| 380 |
|
|
if (alloc_stat /= 0) then |
| 381 |
|
|
status = -1 |
| 382 |
|
|
return |
| 383 |
|
|
end if |
| 384 |
|
|
if (allocated(dfrhodrho_col)) deallocate(dfrhodrho_col) |
| 385 |
|
|
allocate(dfrhodrho_col(nAtomsInCol),stat=alloc_stat) |
| 386 |
|
|
if (alloc_stat /= 0) then |
| 387 |
|
|
status = -1 |
| 388 |
|
|
return |
| 389 |
|
|
end if |
| 390 |
|
|
if (allocated(d2frhodrhodrho_col)) deallocate(d2frhodrhodrho_col) |
| 391 |
|
|
allocate(d2frhodrhodrho_col(nAtomsInCol),stat=alloc_stat) |
| 392 |
|
|
if (alloc_stat /= 0) then |
| 393 |
|
|
status = -1 |
| 394 |
|
|
return |
| 395 |
|
|
end if |
| 396 |
|
|
|
| 397 |
|
|
#endif |
| 398 |
|
|
|
| 399 |
|
|
end subroutine allocateEAM |
| 400 |
|
|
|
| 401 |
|
|
!! C sets rcut to be the largest cutoff of any atype |
| 402 |
|
|
!! present in this simulation. Doesn't include all atypes |
| 403 |
|
|
!! sim knows about, just those in the simulation. |
| 404 |
|
|
subroutine setCutoffEAM(rcut, status) |
| 405 |
|
|
real(kind=dp) :: rcut |
| 406 |
|
|
integer :: status |
| 407 |
|
|
status = 0 |
| 408 |
|
|
|
| 409 |
|
|
EAM_rcut = rcut |
| 410 |
|
|
|
| 411 |
|
|
end subroutine setCutoffEAM |
| 412 |
|
|
|
| 413 |
|
|
|
| 414 |
|
|
|
| 415 |
|
|
subroutine clean_EAM() |
| 416 |
|
|
|
| 417 |
|
|
! clean non-IS_MPI first |
| 418 |
|
|
frho = 0.0_dp |
| 419 |
|
|
rho = 0.0_dp |
| 420 |
|
|
dfrhodrho = 0.0_dp |
| 421 |
|
|
! clean MPI if needed |
| 422 |
|
|
#ifdef IS_MPI |
| 423 |
|
|
frho_row = 0.0_dp |
| 424 |
|
|
frho_col = 0.0_dp |
| 425 |
|
|
rho_row = 0.0_dp |
| 426 |
|
|
rho_col = 0.0_dp |
| 427 |
|
|
rho_tmp = 0.0_dp |
| 428 |
|
|
dfrhodrho_row = 0.0_dp |
| 429 |
|
|
dfrhodrho_col = 0.0_dp |
| 430 |
|
|
#endif |
| 431 |
|
|
end subroutine clean_EAM |
| 432 |
|
|
|
| 433 |
|
|
|
| 434 |
|
|
|
| 435 |
|
|
subroutine allocate_EAMType(eam_n_rho,eam_n_r,thisEAMType,stat) |
| 436 |
|
|
integer, intent(in) :: eam_n_rho |
| 437 |
|
|
integer, intent(in) :: eam_n_r |
| 438 |
|
|
type (EAMType) :: thisEAMType |
| 439 |
|
|
integer, optional :: stat |
| 440 |
|
|
integer :: alloc_stat |
| 441 |
|
|
|
| 442 |
|
|
|
| 443 |
|
|
|
| 444 |
|
|
if (present(stat)) stat = 0 |
| 445 |
|
|
|
| 446 |
|
|
allocate(thisEAMType%eam_rvals(eam_n_r),stat=alloc_stat) |
| 447 |
|
|
if (alloc_stat /= 0 ) then |
| 448 |
|
|
if (present(stat)) stat = -1 |
| 449 |
|
|
return |
| 450 |
|
|
end if |
| 451 |
|
|
allocate(thisEAMType%eam_rhovals(eam_n_rho),stat=alloc_stat) |
| 452 |
|
|
if (alloc_stat /= 0 ) then |
| 453 |
|
|
if (present(stat)) stat = -1 |
| 454 |
|
|
return |
| 455 |
|
|
end if |
| 456 |
|
|
allocate(thisEAMType%eam_F_rho(eam_n_rho),stat=alloc_stat) |
| 457 |
|
|
if (alloc_stat /= 0 ) then |
| 458 |
|
|
if (present(stat)) stat = -1 |
| 459 |
|
|
return |
| 460 |
|
|
end if |
| 461 |
|
|
allocate(thisEAMType%eam_Z_r(eam_n_r),stat=alloc_stat) |
| 462 |
|
|
if (alloc_stat /= 0 ) then |
| 463 |
|
|
if (present(stat)) stat = -1 |
| 464 |
|
|
return |
| 465 |
|
|
end if |
| 466 |
|
|
allocate(thisEAMType%eam_rho_r(eam_n_r),stat=alloc_stat) |
| 467 |
|
|
if (alloc_stat /= 0 ) then |
| 468 |
|
|
if (present(stat)) stat = -1 |
| 469 |
|
|
return |
| 470 |
|
|
end if |
| 471 |
|
|
allocate(thisEAMType%eam_phi_r(eam_n_r),stat=alloc_stat) |
| 472 |
|
|
if (alloc_stat /= 0 ) then |
| 473 |
|
|
if (present(stat)) stat = -1 |
| 474 |
|
|
return |
| 475 |
|
|
end if |
| 476 |
|
|
allocate(thisEAMType%eam_F_rho_pp(eam_n_rho),stat=alloc_stat) |
| 477 |
|
|
if (alloc_stat /= 0 ) then |
| 478 |
|
|
if (present(stat)) stat = -1 |
| 479 |
|
|
return |
| 480 |
|
|
end if |
| 481 |
|
|
allocate(thisEAMType%eam_Z_r_pp(eam_n_r),stat=alloc_stat) |
| 482 |
|
|
if (alloc_stat /= 0 ) then |
| 483 |
|
|
if (present(stat)) stat = -1 |
| 484 |
|
|
return |
| 485 |
|
|
end if |
| 486 |
|
|
allocate(thisEAMType%eam_rho_r_pp(eam_n_r),stat=alloc_stat) |
| 487 |
|
|
if (alloc_stat /= 0 ) then |
| 488 |
|
|
if (present(stat)) stat = -1 |
| 489 |
|
|
return |
| 490 |
|
|
end if |
| 491 |
|
|
allocate(thisEAMType%eam_phi_r_pp(eam_n_r),stat=alloc_stat) |
| 492 |
|
|
if (alloc_stat /= 0 ) then |
| 493 |
|
|
if (present(stat)) stat = -1 |
| 494 |
|
|
return |
| 495 |
|
|
end if |
| 496 |
|
|
|
| 497 |
|
|
|
| 498 |
|
|
end subroutine allocate_EAMType |
| 499 |
|
|
|
| 500 |
|
|
|
| 501 |
|
|
subroutine deallocate_EAMType(thisEAMType) |
| 502 |
|
|
type (EAMtype), pointer :: thisEAMType |
| 503 |
|
|
|
| 504 |
|
|
! free Arrays in reverse order of allocation... |
| 505 |
|
|
deallocate(thisEAMType%eam_phi_r_pp) |
| 506 |
|
|
deallocate(thisEAMType%eam_rho_r_pp) |
| 507 |
|
|
deallocate(thisEAMType%eam_Z_r_pp) |
| 508 |
|
|
deallocate(thisEAMType%eam_F_rho_pp) |
| 509 |
|
|
deallocate(thisEAMType%eam_phi_r) |
| 510 |
|
|
deallocate(thisEAMType%eam_rho_r) |
| 511 |
|
|
deallocate(thisEAMType%eam_Z_r) |
| 512 |
|
|
deallocate(thisEAMType%eam_F_rho) |
| 513 |
|
|
deallocate(thisEAMType%eam_rhovals) |
| 514 |
|
|
deallocate(thisEAMType%eam_rvals) |
| 515 |
|
|
|
| 516 |
|
|
end subroutine deallocate_EAMType |
| 517 |
|
|
|
| 518 |
|
|
!! Calculates rho_r |
| 519 |
|
|
subroutine calc_eam_prepair_rho(atom1,atom2,d,r,rijsq) |
| 520 |
|
|
integer :: atom1,atom2 |
| 521 |
|
|
real(kind = dp), dimension(3) :: d |
| 522 |
|
|
real(kind = dp), intent(inout) :: r |
| 523 |
|
|
real(kind = dp), intent(inout) :: rijsq |
| 524 |
|
|
! value of electron density rho do to atom i at atom j |
| 525 |
|
|
real(kind = dp) :: rho_i_at_j |
| 526 |
|
|
! value of electron density rho do to atom j at atom i |
| 527 |
|
|
real(kind = dp) :: rho_j_at_i |
| 528 |
|
|
|
| 529 |
|
|
! we don't use the derivatives, dummy variables |
| 530 |
|
|
real( kind = dp) :: drho,d2rho |
| 531 |
|
|
integer :: eam_err |
| 532 |
|
|
|
| 533 |
|
|
integer :: myid_atom1 |
| 534 |
|
|
integer :: myid_atom2 |
| 535 |
|
|
|
| 536 |
|
|
! check to see if we need to be cleaned at the start of a force loop |
| 537 |
|
|
|
| 538 |
|
|
|
| 539 |
|
|
|
| 540 |
|
|
|
| 541 |
|
|
#ifdef IS_MPI |
| 542 |
|
|
myid_atom1 = atid_Row(atom1) |
| 543 |
|
|
myid_atom2 = atid_Col(atom2) |
| 544 |
|
|
#else |
| 545 |
|
|
myid_atom1 = atid(atom1) |
| 546 |
|
|
myid_atom2 = atid(atom2) |
| 547 |
|
|
#endif |
| 548 |
|
|
|
| 549 |
|
|
if (r.lt.EAMList%EAMParams(myid_atom1)%eam_rcut) then |
| 550 |
|
|
|
| 551 |
|
|
|
| 552 |
|
|
|
| 553 |
|
|
call eam_splint(EAMList%EAMParams(myid_atom1)%eam_nr, & |
| 554 |
|
|
EAMList%EAMParams(myid_atom1)%eam_rvals, & |
| 555 |
|
|
EAMList%EAMParams(myid_atom1)%eam_rho_r, & |
| 556 |
|
|
EAMList%EAMParams(myid_atom1)%eam_rho_r_pp, & |
| 557 |
|
|
r, rho_i_at_j,drho,d2rho) |
| 558 |
|
|
|
| 559 |
|
|
|
| 560 |
|
|
|
| 561 |
|
|
#ifdef IS_MPI |
| 562 |
|
|
rho_col(atom2) = rho_col(atom2) + rho_i_at_j |
| 563 |
|
|
#else |
| 564 |
|
|
rho(atom2) = rho(atom2) + rho_i_at_j |
| 565 |
|
|
#endif |
| 566 |
|
|
! write(*,*) atom1,atom2,r,rho_i_at_j |
| 567 |
|
|
endif |
| 568 |
|
|
|
| 569 |
|
|
if (r.lt.EAMList%EAMParams(myid_atom2)%eam_rcut) then |
| 570 |
|
|
call eam_splint(EAMList%EAMParams(myid_atom2)%eam_nr, & |
| 571 |
|
|
EAMList%EAMParams(myid_atom2)%eam_rvals, & |
| 572 |
|
|
EAMList%EAMParams(myid_atom2)%eam_rho_r, & |
| 573 |
|
|
EAMList%EAMParams(myid_atom2)%eam_rho_r_pp, & |
| 574 |
|
|
r, rho_j_at_i,drho,d2rho) |
| 575 |
|
|
|
| 576 |
|
|
|
| 577 |
|
|
|
| 578 |
|
|
|
| 579 |
|
|
#ifdef IS_MPI |
| 580 |
|
|
rho_row(atom1) = rho_row(atom1) + rho_j_at_i |
| 581 |
|
|
#else |
| 582 |
|
|
rho(atom1) = rho(atom1) + rho_j_at_i |
| 583 |
|
|
#endif |
| 584 |
|
|
endif |
| 585 |
|
|
|
| 586 |
|
|
|
| 587 |
|
|
|
| 588 |
|
|
|
| 589 |
|
|
|
| 590 |
|
|
|
| 591 |
|
|
end subroutine calc_eam_prepair_rho |
| 592 |
|
|
|
| 593 |
|
|
|
| 594 |
|
|
|
| 595 |
|
|
|
| 596 |
|
|
!! Calculate the functional F(rho) for all local atoms |
| 597 |
|
|
subroutine calc_eam_preforce_Frho(nlocal,pot) |
| 598 |
|
|
integer :: nlocal |
| 599 |
|
|
real(kind=dp) :: pot |
| 600 |
|
|
integer :: i,j |
| 601 |
|
|
integer :: atom |
| 602 |
|
|
real(kind=dp) :: U,U1,U2 |
| 603 |
|
|
integer :: atype1 |
| 604 |
|
|
integer :: me |
| 605 |
|
|
integer :: n_rho_points |
| 606 |
|
|
|
| 607 |
|
|
|
| 608 |
|
|
cleanme = .true. |
| 609 |
|
|
!! Scatter the electron density from pre-pair calculation back to local atoms |
| 610 |
|
|
#ifdef IS_MPI |
| 611 |
|
|
call scatter(rho_row,rho,plan_atom_row,eam_err) |
| 612 |
|
|
if (eam_err /= 0 ) then |
| 613 |
|
|
write(errMsg,*) " Error scattering rho_row into rho" |
| 614 |
|
|
call handleError(RoutineName,errMesg) |
| 615 |
|
|
endif |
| 616 |
|
|
call scatter(rho_col,rho_tmp,plan_atom_col,eam_err) |
| 617 |
|
|
if (eam_err /= 0 ) then |
| 618 |
|
|
write(errMsg,*) " Error scattering rho_col into rho" |
| 619 |
|
|
call handleError(RoutineName,errMesg) |
| 620 |
|
|
endif |
| 621 |
|
|
|
| 622 |
|
|
rho(1:nlocal) = rho(1:nlocal) + rho_tmp(1:nlocal) |
| 623 |
|
|
#endif |
| 624 |
|
|
|
| 625 |
|
|
|
| 626 |
|
|
|
| 627 |
|
|
!! Calculate F(rho) and derivative |
| 628 |
|
|
do atom = 1, nlocal |
| 629 |
|
|
me = atid(atom) |
| 630 |
|
|
n_rho_points = EAMList%EAMParams(me)%eam_nrho |
| 631 |
|
|
! Check to see that the density is not greater than the larges rho we have calculated |
| 632 |
|
|
if (rho(atom) < EAMList%EAMParams(me)%eam_rhovals(n_rho_points)) then |
| 633 |
|
|
call eam_splint(n_rho_points, & |
| 634 |
|
|
EAMList%EAMParams(me)%eam_rhovals, & |
| 635 |
|
|
EAMList%EAMParams(me)%eam_f_rho, & |
| 636 |
|
|
EAMList%EAMParams(me)%eam_f_rho_pp, & |
| 637 |
|
|
rho(atom), & ! Actual Rho |
| 638 |
|
|
u, u1, u2) |
| 639 |
|
|
else |
| 640 |
|
|
! Calculate F(rho with the largest available rho value |
| 641 |
|
|
call eam_splint(n_rho_points, & |
| 642 |
|
|
EAMList%EAMParams(me)%eam_rhovals, & |
| 643 |
|
|
EAMList%EAMParams(me)%eam_f_rho, & |
| 644 |
|
|
EAMList%EAMParams(me)%eam_f_rho_pp, & |
| 645 |
|
|
EAMList%EAMParams(me)%eam_rhovals(n_rho_points), & ! Largest rho |
| 646 |
|
|
u,u1,u2) |
| 647 |
|
|
end if |
| 648 |
|
|
|
| 649 |
|
|
|
| 650 |
|
|
frho(atom) = u |
| 651 |
|
|
dfrhodrho(atom) = u1 |
| 652 |
|
|
d2frhodrhodrho(atom) = u2 |
| 653 |
|
|
pot = pot + u |
| 654 |
|
|
|
| 655 |
|
|
enddo |
| 656 |
|
|
|
| 657 |
|
|
|
| 658 |
|
|
|
| 659 |
|
|
#ifdef IS_MPI |
| 660 |
|
|
!! communicate f(rho) and derivatives back into row and column arrays |
| 661 |
|
|
call gather(frho,frho_row,plan_atom_row, eam_err) |
| 662 |
|
|
if (eam_err /= 0) then |
| 663 |
|
|
call handleError("cal_eam_forces()","MPI gather frho_row failure") |
| 664 |
|
|
endif |
| 665 |
|
|
call gather(dfrhodrho,dfrhodrho_row,plan_atom_row, eam_err) |
| 666 |
|
|
if (eam_err /= 0) then |
| 667 |
|
|
call handleError("cal_eam_forces()","MPI gather dfrhodrho_row failure") |
| 668 |
|
|
endif |
| 669 |
|
|
call gather(frho,frho_col,plan_atom_col, eam_err) |
| 670 |
|
|
if (eam_err /= 0) then |
| 671 |
|
|
call handleError("cal_eam_forces()","MPI gather frho_col failure") |
| 672 |
|
|
endif |
| 673 |
|
|
call gather(dfrhodrho,dfrhodrho_col,plan_atom_col, eam_err) |
| 674 |
|
|
if (eam_err /= 0) then |
| 675 |
|
|
call handleError("cal_eam_forces()","MPI gather dfrhodrho_col failure") |
| 676 |
|
|
endif |
| 677 |
|
|
|
| 678 |
|
|
|
| 679 |
|
|
|
| 680 |
|
|
|
| 681 |
|
|
|
| 682 |
|
|
if (nmflag) then |
| 683 |
|
|
call gather(d2frhodrhodrho,d2frhodrhodrho_row,plan_atom_row) |
| 684 |
|
|
call gather(d2frhodrhodrho,d2frhodrhodrho_col,plan_atom_col) |
| 685 |
|
|
endif |
| 686 |
|
|
#endif |
| 687 |
|
|
|
| 688 |
|
|
|
| 689 |
|
|
end subroutine calc_eam_preforce_Frho |
| 690 |
|
|
|
| 691 |
|
|
|
| 692 |
|
|
|
| 693 |
|
|
|
| 694 |
|
|
!! Does EAM pairwise Force calculation. |
| 695 |
|
|
subroutine do_eam_pair(atom1, atom2, d, rij, r2, sw, vpair, fpair, & |
| 696 |
|
|
pot, f, do_pot) |
| 697 |
|
|
!Arguments |
| 698 |
|
|
integer, intent(in) :: atom1, atom2 |
| 699 |
|
|
real( kind = dp ), intent(in) :: rij, r2 |
| 700 |
|
|
real( kind = dp ) :: pot, sw, vpair |
| 701 |
|
|
real( kind = dp ), dimension(3,nLocal) :: f |
| 702 |
|
|
real( kind = dp ), intent(in), dimension(3) :: d |
| 703 |
|
|
real( kind = dp ), intent(inout), dimension(3) :: fpair |
| 704 |
|
|
|
| 705 |
|
|
logical, intent(in) :: do_pot |
| 706 |
|
|
|
| 707 |
|
|
real( kind = dp ) :: drdx,drdy,drdz |
| 708 |
|
|
real( kind = dp ) :: d2 |
| 709 |
|
|
real( kind = dp ) :: phab,pha,dvpdr,d2vpdrdr |
| 710 |
|
|
real( kind = dp ) :: rha,drha,d2rha, dpha |
| 711 |
|
|
real( kind = dp ) :: rhb,drhb,d2rhb, dphb |
| 712 |
|
|
real( kind = dp ) :: dudr |
| 713 |
|
|
real( kind = dp ) :: rci,rcj |
| 714 |
|
|
real( kind = dp ) :: drhoidr,drhojdr |
| 715 |
|
|
real( kind = dp ) :: d2rhoidrdr |
| 716 |
|
|
real( kind = dp ) :: d2rhojdrdr |
| 717 |
|
|
real( kind = dp ) :: Fx,Fy,Fz |
| 718 |
|
|
real( kind = dp ) :: r,d2pha,phb,d2phb |
| 719 |
|
|
|
| 720 |
|
|
integer :: id1,id2 |
| 721 |
|
|
integer :: mytype_atom1 |
| 722 |
|
|
integer :: mytype_atom2 |
| 723 |
|
|
|
| 724 |
|
|
!Local Variables |
| 725 |
|
|
|
| 726 |
|
|
! write(*,*) "Frho: ", Frho(atom1) |
| 727 |
|
|
|
| 728 |
|
|
phab = 0.0E0_DP |
| 729 |
|
|
dvpdr = 0.0E0_DP |
| 730 |
|
|
d2vpdrdr = 0.0E0_DP |
| 731 |
|
|
|
| 732 |
|
|
if (rij .lt. EAM_rcut) then |
| 733 |
|
|
|
| 734 |
|
|
#ifdef IS_MPI |
| 735 |
|
|
mytype_atom1 = atid_row(atom1) |
| 736 |
|
|
mytype_atom2 = atid_col(atom2) |
| 737 |
|
|
#else |
| 738 |
|
|
mytype_atom1 = atid(atom1) |
| 739 |
|
|
mytype_atom2 = atid(atom2) |
| 740 |
|
|
#endif |
| 741 |
|
|
! get cutoff for atom 1 |
| 742 |
|
|
rci = EAMList%EAMParams(mytype_atom1)%eam_rcut |
| 743 |
|
|
! get type specific cutoff for atom 2 |
| 744 |
|
|
rcj = EAMList%EAMParams(mytype_atom2)%eam_rcut |
| 745 |
|
|
|
| 746 |
|
|
drdx = d(1)/rij |
| 747 |
|
|
drdy = d(2)/rij |
| 748 |
|
|
drdz = d(3)/rij |
| 749 |
|
|
|
| 750 |
|
|
if (rij.lt.rci) then |
| 751 |
|
|
call eam_splint(EAMList%EAMParams(mytype_atom1)%eam_nr, & |
| 752 |
|
|
EAMList%EAMParams(mytype_atom1)%eam_rvals, & |
| 753 |
|
|
EAMList%EAMParams(mytype_atom1)%eam_rho_r, & |
| 754 |
|
|
EAMList%EAMParams(mytype_atom1)%eam_rho_r_pp, & |
| 755 |
|
|
rij, rha,drha,d2rha) |
| 756 |
|
|
!! Calculate Phi(r) for atom1. |
| 757 |
|
|
call eam_splint(EAMList%EAMParams(mytype_atom1)%eam_nr, & |
| 758 |
|
|
EAMList%EAMParams(mytype_atom1)%eam_rvals, & |
| 759 |
|
|
EAMList%EAMParams(mytype_atom1)%eam_phi_r, & |
| 760 |
|
|
EAMList%EAMParams(mytype_atom1)%eam_phi_r_pp, & |
| 761 |
|
|
rij, pha,dpha,d2pha) |
| 762 |
|
|
endif |
| 763 |
|
|
|
| 764 |
|
|
if (rij.lt.rcj) then |
| 765 |
|
|
! Calculate rho,drho and d2rho for atom1 |
| 766 |
|
|
call eam_splint(EAMList%EAMParams(mytype_atom2)%eam_nr, & |
| 767 |
|
|
EAMList%EAMParams(mytype_atom2)%eam_rvals, & |
| 768 |
|
|
EAMList%EAMParams(mytype_atom2)%eam_rho_r, & |
| 769 |
|
|
EAMList%EAMParams(mytype_atom2)%eam_rho_r_pp, & |
| 770 |
|
|
rij, rhb,drhb,d2rhb) |
| 771 |
|
|
|
| 772 |
|
|
!! Calculate Phi(r) for atom2. |
| 773 |
|
|
call eam_splint(EAMList%EAMParams(mytype_atom2)%eam_nr, & |
| 774 |
|
|
EAMList%EAMParams(mytype_atom2)%eam_rvals, & |
| 775 |
|
|
EAMList%EAMParams(mytype_atom2)%eam_phi_r, & |
| 776 |
|
|
EAMList%EAMParams(mytype_atom2)%eam_phi_r_pp, & |
| 777 |
|
|
rij, phb,dphb,d2phb) |
| 778 |
|
|
endif |
| 779 |
|
|
|
| 780 |
|
|
if (rij.lt.rci) then |
| 781 |
|
|
phab = phab + 0.5E0_DP*(rhb/rha)*pha |
| 782 |
|
|
dvpdr = dvpdr + 0.5E0_DP*((rhb/rha)*dpha + & |
| 783 |
|
|
pha*((drhb/rha) - (rhb*drha/rha/rha))) |
| 784 |
|
|
d2vpdrdr = d2vpdrdr + 0.5E0_DP*((rhb/rha)*d2pha + & |
| 785 |
|
|
2.0E0_DP*dpha*((drhb/rha) - (rhb*drha/rha/rha)) + & |
| 786 |
|
|
pha*((d2rhb/rha) - 2.0E0_DP*(drhb*drha/rha/rha) + & |
| 787 |
|
|
(2.0E0_DP*rhb*drha*drha/rha/rha/rha) - (rhb*d2rha/rha/rha))) |
| 788 |
|
|
endif |
| 789 |
|
|
|
| 790 |
|
|
if (rij.lt.rcj) then |
| 791 |
|
|
phab = phab + 0.5E0_DP*(rha/rhb)*phb |
| 792 |
|
|
dvpdr = dvpdr + 0.5E0_DP*((rha/rhb)*dphb + & |
| 793 |
|
|
phb*((drha/rhb) - (rha*drhb/rhb/rhb))) |
| 794 |
|
|
d2vpdrdr = d2vpdrdr + 0.5E0_DP*((rha/rhb)*d2phb + & |
| 795 |
|
|
2.0E0_DP*dphb*((drha/rhb) - (rha*drhb/rhb/rhb)) + & |
| 796 |
|
|
phb*((d2rha/rhb) - 2.0E0_DP*(drha*drhb/rhb/rhb) + & |
| 797 |
|
|
(2.0E0_DP*rha*drhb*drhb/rhb/rhb/rhb) - (rha*d2rhb/rhb/rhb))) |
| 798 |
|
|
endif |
| 799 |
|
|
|
| 800 |
|
|
drhoidr = drha |
| 801 |
|
|
drhojdr = drhb |
| 802 |
|
|
|
| 803 |
|
|
d2rhoidrdr = d2rha |
| 804 |
|
|
d2rhojdrdr = d2rhb |
| 805 |
|
|
|
| 806 |
|
|
|
| 807 |
|
|
#ifdef IS_MPI |
| 808 |
|
|
dudr = drhojdr*dfrhodrho_row(atom1)+drhoidr*dfrhodrho_col(atom2) & |
| 809 |
|
|
+ dvpdr |
| 810 |
|
|
|
| 811 |
|
|
#else |
| 812 |
|
|
dudr = drhojdr*dfrhodrho(atom1)+drhoidr*dfrhodrho(atom2) & |
| 813 |
|
|
+ dvpdr |
| 814 |
|
|
! write(*,*) "Atom1,Atom2, dfrhodrho(atom1) dfrhodrho(atom2): ", atom1,atom2,dfrhodrho(atom1),dfrhodrho(atom2) |
| 815 |
|
|
#endif |
| 816 |
|
|
|
| 817 |
|
|
fx = dudr * drdx |
| 818 |
|
|
fy = dudr * drdy |
| 819 |
|
|
fz = dudr * drdz |
| 820 |
|
|
|
| 821 |
|
|
|
| 822 |
|
|
#ifdef IS_MPI |
| 823 |
|
|
if (do_pot) then |
| 824 |
|
|
pot_Row(atom1) = pot_Row(atom1) + phab*0.5 |
| 825 |
|
|
pot_Col(atom2) = pot_Col(atom2) + phab*0.5 |
| 826 |
|
|
end if |
| 827 |
|
|
|
| 828 |
|
|
f_Row(1,atom1) = f_Row(1,atom1) + fx |
| 829 |
|
|
f_Row(2,atom1) = f_Row(2,atom1) + fy |
| 830 |
|
|
f_Row(3,atom1) = f_Row(3,atom1) + fz |
| 831 |
|
|
|
| 832 |
|
|
f_Col(1,atom2) = f_Col(1,atom2) - fx |
| 833 |
|
|
f_Col(2,atom2) = f_Col(2,atom2) - fy |
| 834 |
|
|
f_Col(3,atom2) = f_Col(3,atom2) - fz |
| 835 |
|
|
#else |
| 836 |
|
|
|
| 837 |
|
|
if(do_pot) then |
| 838 |
|
|
pot = pot + phab |
| 839 |
|
|
end if |
| 840 |
|
|
|
| 841 |
|
|
f(1,atom1) = f(1,atom1) + fx |
| 842 |
|
|
f(2,atom1) = f(2,atom1) + fy |
| 843 |
|
|
f(3,atom1) = f(3,atom1) + fz |
| 844 |
|
|
|
| 845 |
|
|
f(1,atom2) = f(1,atom2) - fx |
| 846 |
|
|
f(2,atom2) = f(2,atom2) - fy |
| 847 |
|
|
f(3,atom2) = f(3,atom2) - fz |
| 848 |
|
|
#endif |
| 849 |
|
|
|
| 850 |
|
|
vpair = vpair + phab |
| 851 |
|
|
#ifdef IS_MPI |
| 852 |
|
|
id1 = AtomRowToGlobal(atom1) |
| 853 |
|
|
id2 = AtomColToGlobal(atom2) |
| 854 |
|
|
#else |
| 855 |
|
|
id1 = atom1 |
| 856 |
|
|
id2 = atom2 |
| 857 |
|
|
#endif |
| 858 |
|
|
|
| 859 |
|
|
if (molMembershipList(id1) .ne. molMembershipList(id2)) then |
| 860 |
|
|
|
| 861 |
|
|
fpair(1) = fpair(1) + fx |
| 862 |
|
|
fpair(2) = fpair(2) + fy |
| 863 |
|
|
fpair(3) = fpair(3) + fz |
| 864 |
|
|
|
| 865 |
|
|
endif |
| 866 |
|
|
|
| 867 |
|
|
if (nmflag) then |
| 868 |
|
|
|
| 869 |
|
|
drhoidr = drha |
| 870 |
|
|
drhojdr = drhb |
| 871 |
|
|
d2rhoidrdr = d2rha |
| 872 |
|
|
d2rhojdrdr = d2rhb |
| 873 |
|
|
|
| 874 |
|
|
#ifdef IS_MPI |
| 875 |
|
|
d2 = d2vpdrdr + & |
| 876 |
|
|
d2rhoidrdr*dfrhodrho_col(atom2) + & |
| 877 |
|
|
d2rhojdrdr*dfrhodrho_row(atom1) + & |
| 878 |
|
|
drhoidr*drhoidr*d2frhodrhodrho_col(atom2) + & |
| 879 |
|
|
drhojdr*drhojdr*d2frhodrhodrho_row(atom1) |
| 880 |
|
|
|
| 881 |
|
|
#else |
| 882 |
|
|
|
| 883 |
|
|
d2 = d2vpdrdr + & |
| 884 |
|
|
d2rhoidrdr*dfrhodrho(atom2) + & |
| 885 |
|
|
d2rhojdrdr*dfrhodrho(atom1) + & |
| 886 |
|
|
drhoidr*drhoidr*d2frhodrhodrho(atom2) + & |
| 887 |
|
|
drhojdr*drhojdr*d2frhodrhodrho(atom1) |
| 888 |
|
|
#endif |
| 889 |
|
|
end if |
| 890 |
|
|
|
| 891 |
|
|
endif |
| 892 |
|
|
end subroutine do_eam_pair |
| 893 |
|
|
|
| 894 |
|
|
|
| 895 |
|
|
subroutine eam_splint(nx, xa, ya, yppa, x, y, dy, d2y) |
| 896 |
|
|
|
| 897 |
|
|
integer :: atype, nx, j |
| 898 |
|
|
real( kind = DP ), dimension(:) :: xa |
| 899 |
|
|
real( kind = DP ), dimension(:) :: ya |
| 900 |
|
|
real( kind = DP ), dimension(:) :: yppa |
| 901 |
|
|
real( kind = DP ) :: x, y |
| 902 |
|
|
real( kind = DP ) :: dy, d2y |
| 903 |
|
|
real( kind = DP ) :: del, h, a, b, c, d |
| 904 |
|
|
integer :: pp_arraySize |
| 905 |
|
|
|
| 906 |
|
|
|
| 907 |
|
|
! this spline code assumes that the x points are equally spaced |
| 908 |
|
|
! do not attempt to use this code if they are not. |
| 909 |
|
|
|
| 910 |
|
|
|
| 911 |
|
|
! find the closest point with a value below our own: |
| 912 |
|
|
j = FLOOR(real((nx-1),kind=dp) * (x - xa(1)) / (xa(nx) - xa(1))) + 1 |
| 913 |
|
|
|
| 914 |
|
|
! check to make sure we're inside the spline range: |
| 915 |
|
|
if ((j.gt.nx).or.(j.lt.1)) then |
| 916 |
|
|
write(errMSG,*) "EAM_splint: x is outside bounds of spline: ",x,j |
| 917 |
|
|
call handleError(routineName,errMSG) |
| 918 |
|
|
endif |
| 919 |
|
|
! check to make sure we haven't screwed up the calculation of j: |
| 920 |
|
|
if ((x.lt.xa(j)).or.(x.gt.xa(j+1))) then |
| 921 |
|
|
if (j.ne.nx) then |
| 922 |
|
|
write(errMSG,*) "EAM_splint:",x," x is outside bounding range" |
| 923 |
|
|
call handleError(routineName,errMSG) |
| 924 |
|
|
endif |
| 925 |
|
|
endif |
| 926 |
|
|
|
| 927 |
|
|
del = xa(j+1) - x |
| 928 |
|
|
h = xa(j+1) - xa(j) |
| 929 |
|
|
|
| 930 |
|
|
a = del / h |
| 931 |
|
|
b = 1.0E0_DP - a |
| 932 |
|
|
c = a*(a*a - 1.0E0_DP)*h*h/6.0E0_DP |
| 933 |
|
|
d = b*(b*b - 1.0E0_DP)*h*h/6.0E0_DP |
| 934 |
|
|
|
| 935 |
|
|
y = a*ya(j) + b*ya(j+1) + c*yppa(j) + d*yppa(j+1) |
| 936 |
|
|
|
| 937 |
|
|
dy = (ya(j+1)-ya(j))/h & |
| 938 |
|
|
- (3.0E0_DP*a*a - 1.0E0_DP)*h*yppa(j)/6.0E0_DP & |
| 939 |
|
|
+ (3.0E0_DP*b*b - 1.0E0_DP)*h*yppa(j+1)/6.0E0_DP |
| 940 |
|
|
|
| 941 |
|
|
|
| 942 |
|
|
d2y = a*yppa(j) + b*yppa(j+1) |
| 943 |
|
|
|
| 944 |
|
|
|
| 945 |
|
|
end subroutine eam_splint |
| 946 |
|
|
|
| 947 |
|
|
|
| 948 |
|
|
subroutine eam_spline(nx, xa, ya, yppa, yp1, ypn, boundary) |
| 949 |
|
|
|
| 950 |
|
|
|
| 951 |
|
|
! yp1 and ypn are the first derivatives of y at the two endpoints |
| 952 |
|
|
! if boundary is 'L' the lower derivative is used |
| 953 |
|
|
! if boundary is 'U' the upper derivative is used |
| 954 |
|
|
! if boundary is 'B' then both derivatives are used |
| 955 |
|
|
! if boundary is anything else, then both derivatives are assumed to be 0 |
| 956 |
|
|
|
| 957 |
|
|
integer :: nx, i, k, max_array_size |
| 958 |
|
|
|
| 959 |
|
|
real( kind = DP ), dimension(:) :: xa |
| 960 |
|
|
real( kind = DP ), dimension(:) :: ya |
| 961 |
|
|
real( kind = DP ), dimension(:) :: yppa |
| 962 |
|
|
real( kind = DP ), dimension(size(xa)) :: u |
| 963 |
|
|
real( kind = DP ) :: yp1,ypn,un,qn,sig,p |
| 964 |
|
|
character(len=*) :: boundary |
| 965 |
|
|
|
| 966 |
|
|
! make sure the sizes match |
| 967 |
|
|
if ((nx /= size(xa)) .or. (nx /= size(ya))) then |
| 968 |
|
|
call handleWarning("EAM_SPLINE","Array size mismatch") |
| 969 |
|
|
end if |
| 970 |
|
|
|
| 971 |
|
|
if ((boundary.eq.'l').or.(boundary.eq.'L').or. & |
| 972 |
|
|
(boundary.eq.'b').or.(boundary.eq.'B')) then |
| 973 |
|
|
yppa(1) = -0.5E0_DP |
| 974 |
|
|
u(1) = (3.0E0_DP/(xa(2)-xa(1)))*((ya(2)-& |
| 975 |
|
|
ya(1))/(xa(2)-xa(1))-yp1) |
| 976 |
|
|
else |
| 977 |
|
|
yppa(1) = 0.0E0_DP |
| 978 |
|
|
u(1) = 0.0E0_DP |
| 979 |
|
|
endif |
| 980 |
|
|
|
| 981 |
|
|
do i = 2, nx - 1 |
| 982 |
|
|
sig = (xa(i) - xa(i-1)) / (xa(i+1) - xa(i-1)) |
| 983 |
|
|
p = sig * yppa(i-1) + 2.0E0_DP |
| 984 |
|
|
yppa(i) = (sig - 1.0E0_DP) / p |
| 985 |
|
|
u(i) = (6.0E0_DP*((ya(i+1)-ya(i))/(xa(i+1)-xa(i)) - & |
| 986 |
|
|
(ya(i)-ya(i-1))/(xa(i)-xa(i-1)))/ & |
| 987 |
|
|
(xa(i+1)-xa(i-1)) - sig * u(i-1))/p |
| 988 |
|
|
enddo |
| 989 |
|
|
|
| 990 |
|
|
if ((boundary.eq.'u').or.(boundary.eq.'U').or. & |
| 991 |
|
|
(boundary.eq.'b').or.(boundary.eq.'B')) then |
| 992 |
|
|
qn = 0.5E0_DP |
| 993 |
|
|
un = (3.0E0_DP/(xa(nx)-xa(nx-1)))* & |
| 994 |
|
|
(ypn-(ya(nx)-ya(nx-1))/(xa(nx)-xa(nx-1))) |
| 995 |
|
|
else |
| 996 |
|
|
qn = 0.0E0_DP |
| 997 |
|
|
un = 0.0E0_DP |
| 998 |
|
|
endif |
| 999 |
|
|
|
| 1000 |
|
|
yppa(nx)=(un-qn*u(nx-1))/(qn*yppa(nx-1)+1.0E0_DP) |
| 1001 |
|
|
|
| 1002 |
|
|
do k = nx-1, 1, -1 |
| 1003 |
|
|
yppa(k)=yppa(k)*yppa(k+1)+u(k) |
| 1004 |
|
|
enddo |
| 1005 |
|
|
|
| 1006 |
|
|
end subroutine eam_spline |
| 1007 |
|
|
|
| 1008 |
|
|
end module eam |
