45 |
|
use status |
46 |
|
use atype_module |
47 |
|
use vector_class |
48 |
+ |
use interpolation |
49 |
|
#ifdef IS_MPI |
50 |
|
use mpiSimulation |
51 |
|
#endif |
52 |
|
implicit none |
53 |
|
PRIVATE |
54 |
+ |
#define __FORTRAN90 |
55 |
+ |
#include "UseTheForce/DarkSide/fInteractionMap.h" |
56 |
|
|
57 |
|
INTEGER, PARAMETER :: DP = selected_real_kind(15) |
58 |
|
|
68 |
|
character(len=*), parameter :: RoutineName = "EAM MODULE" |
69 |
|
!! Logical that determines if eam arrays should be zeroed |
70 |
|
logical :: cleanme = .true. |
68 |
– |
logical :: nmflag = .false. |
71 |
|
|
70 |
– |
|
72 |
|
type, private :: EAMtype |
73 |
|
integer :: eam_atype |
73 |
– |
real( kind = DP ) :: eam_dr |
74 |
– |
integer :: eam_nr |
75 |
– |
integer :: eam_nrho |
74 |
|
real( kind = DP ) :: eam_lattice |
77 |
– |
real( kind = DP ) :: eam_drho |
75 |
|
real( kind = DP ) :: eam_rcut |
76 |
|
integer :: eam_atype_map |
77 |
< |
|
78 |
< |
real( kind = DP ), pointer, dimension(:) :: eam_rvals => null() |
79 |
< |
real( kind = DP ), pointer, dimension(:) :: eam_rhovals => null() |
80 |
< |
real( kind = DP ), pointer, dimension(:) :: eam_F_rho => null() |
84 |
< |
real( kind = DP ), pointer, dimension(:) :: eam_Z_r => null() |
85 |
< |
real( kind = DP ), pointer, dimension(:) :: eam_rho_r => null() |
86 |
< |
real( kind = DP ), pointer, dimension(:) :: eam_phi_r => null() |
87 |
< |
real( kind = DP ), pointer, dimension(:) :: eam_F_rho_pp => null() |
88 |
< |
real( kind = DP ), pointer, dimension(:) :: eam_Z_r_pp => null() |
89 |
< |
real( kind = DP ), pointer, dimension(:) :: eam_rho_r_pp => null() |
90 |
< |
real( kind = DP ), pointer, dimension(:) :: eam_phi_r_pp => null() |
77 |
> |
type(cubicSpline) :: rho |
78 |
> |
type(cubicSpline) :: Z |
79 |
> |
type(cubicSpline) :: F |
80 |
> |
type(cubicSpline) :: phi |
81 |
|
end type EAMtype |
82 |
|
|
93 |
– |
|
83 |
|
!! Arrays for derivatives used in force calculation |
84 |
|
real( kind = dp), dimension(:), allocatable :: frho |
85 |
|
real( kind = dp), dimension(:), allocatable :: rho |
97 |
– |
|
86 |
|
real( kind = dp), dimension(:), allocatable :: dfrhodrho |
99 |
– |
real( kind = dp), dimension(:), allocatable :: d2frhodrhodrho |
87 |
|
|
101 |
– |
|
88 |
|
!! Arrays for MPI storage |
89 |
|
#ifdef IS_MPI |
90 |
|
real( kind = dp),save, dimension(:), allocatable :: dfrhodrho_col |
94 |
|
real( kind = dp),save, dimension(:), allocatable :: rho_row |
95 |
|
real( kind = dp),save, dimension(:), allocatable :: rho_col |
96 |
|
real( kind = dp),save, dimension(:), allocatable :: rho_tmp |
111 |
– |
real( kind = dp),save, dimension(:), allocatable :: d2frhodrhodrho_col |
112 |
– |
real( kind = dp),save, dimension(:), allocatable :: d2frhodrhodrho_row |
97 |
|
#endif |
98 |
|
|
99 |
|
type, private :: EAMTypeList |
104 |
|
integer, pointer :: atidToEAMType(:) => null() |
105 |
|
end type EAMTypeList |
106 |
|
|
123 |
– |
|
107 |
|
type (eamTypeList), save :: EAMList |
108 |
|
|
109 |
|
!! standard eam stuff |
121 |
|
|
122 |
|
contains |
123 |
|
|
141 |
– |
|
124 |
|
subroutine newEAMtype(lattice_constant,eam_nrho,eam_drho,eam_nr,& |
125 |
< |
eam_dr,rcut,eam_Z_r,eam_rho_r,eam_F_rho,& |
144 |
< |
c_ident,status) |
125 |
> |
eam_dr,rcut,eam_Z_r,eam_rho_r,eam_F_rho, c_ident, status) |
126 |
|
real (kind = dp ) :: lattice_constant |
127 |
|
integer :: eam_nrho |
128 |
|
real (kind = dp ) :: eam_drho |
129 |
|
integer :: eam_nr |
130 |
|
real (kind = dp ) :: eam_dr |
131 |
|
real (kind = dp ) :: rcut |
132 |
< |
real (kind = dp ), dimension(eam_nr) :: eam_Z_r |
133 |
< |
real (kind = dp ), dimension(eam_nr) :: eam_rho_r |
134 |
< |
real (kind = dp ), dimension(eam_nrho) :: eam_F_rho |
132 |
> |
real (kind = dp ), dimension(eam_nr) :: eam_Z_r, rvals |
133 |
> |
real (kind = dp ), dimension(eam_nr) :: eam_rho_r, eam_phi_r |
134 |
> |
real (kind = dp ), dimension(eam_nrho) :: eam_F_rho, rhovals |
135 |
|
integer :: c_ident |
136 |
|
integer :: status |
137 |
|
|
138 |
|
integer :: nAtypes,nEAMTypes,myATID |
139 |
|
integer :: maxVals |
140 |
|
integer :: alloc_stat |
141 |
< |
integer :: current |
141 |
> |
integer :: current, j |
142 |
|
integer,pointer :: Matchlist(:) => null() |
143 |
|
|
144 |
|
status = 0 |
145 |
|
|
165 |
– |
|
146 |
|
!! Assume that atypes has already been set and get the total number of types in atypes |
147 |
|
!! Also assume that every member of atypes is a EAM model. |
148 |
|
|
169 |
– |
|
149 |
|
! check to see if this is the first time into |
150 |
|
if (.not.associated(EAMList%EAMParams)) then |
151 |
|
call getMatchingElementList(atypes, "is_EAM", .true., nEAMtypes, MatchList) |
161 |
|
myATID = getFirstMatchingElement(atypes, "c_ident", c_ident) |
162 |
|
EAMList%atidToEAMType(myATID) = current |
163 |
|
|
185 |
– |
call allocate_EAMType(eam_nrho,eam_nr,EAMList%EAMParams(current),stat=alloc_stat) |
186 |
– |
if (alloc_stat /= 0) then |
187 |
– |
status = -1 |
188 |
– |
return |
189 |
– |
end if |
190 |
– |
|
191 |
– |
|
164 |
|
EAMList%EAMParams(current)%eam_atype = c_ident |
165 |
|
EAMList%EAMParams(current)%eam_lattice = lattice_constant |
194 |
– |
EAMList%EAMParams(current)%eam_nrho = eam_nrho |
195 |
– |
EAMList%EAMParams(current)%eam_drho = eam_drho |
196 |
– |
EAMList%EAMParams(current)%eam_nr = eam_nr |
197 |
– |
EAMList%EAMParams(current)%eam_dr = eam_dr |
166 |
|
EAMList%EAMParams(current)%eam_rcut = rcut |
199 |
– |
EAMList%EAMParams(current)%eam_Z_r = eam_Z_r |
200 |
– |
EAMList%EAMParams(current)%eam_rho_r = eam_rho_r |
201 |
– |
EAMList%EAMParams(current)%eam_F_rho = eam_F_rho |
167 |
|
|
168 |
+ |
! Build array of r values |
169 |
+ |
do j = 1, eam_nr |
170 |
+ |
rvals(j) = real(j-1,kind=dp) * eam_dr |
171 |
+ |
end do |
172 |
+ |
|
173 |
+ |
! Build array of rho values |
174 |
+ |
do j = 1, eam_nrho |
175 |
+ |
rhovals(j) = real(j-1,kind=dp) * eam_drho |
176 |
+ |
end do |
177 |
+ |
|
178 |
+ |
! convert from eV to kcal / mol: |
179 |
+ |
do j = 1, eam_nrho |
180 |
+ |
eam_F_rho(j) = eam_F_rho(j) * 23.06054E0_DP |
181 |
+ |
end do |
182 |
+ |
|
183 |
+ |
! precompute the pair potential and get it into kcal / mol: |
184 |
+ |
eam_phi_r(1) = 0.0E0_DP |
185 |
+ |
do j = 2, eam_nr |
186 |
+ |
eam_phi_r(j) = 331.999296E0_DP * (eam_Z_r(j)**2) / rvals(j) |
187 |
+ |
enddo |
188 |
+ |
|
189 |
+ |
call newSpline(EAMList%EAMParams(current)%rho, rvals, rhovals, & |
190 |
+ |
0.0d0, 0.0d0, .true.) |
191 |
+ |
call newSpline(EAMList%EAMParams(current)%Z, rvals, eam_Z_r, & |
192 |
+ |
0.0d0, 0.0d0, .true.) |
193 |
+ |
call newSpline(EAMList%EAMParams(current)%F, rhovals, eam_F_rho, & |
194 |
+ |
0.0d0, 0.0d0, .true.) |
195 |
+ |
call newSpline(EAMList%EAMParams(current)%phi, rvals, eam_phi_r, & |
196 |
+ |
0.0d0, 0.0d0, .true.) |
197 |
|
end subroutine newEAMtype |
198 |
|
|
199 |
|
|
211 |
|
|
212 |
|
eamList%n_eam_types = 0 |
213 |
|
eamList%currentAddition = 0 |
220 |
– |
|
214 |
|
end subroutine destroyEAMtypes |
215 |
|
|
216 |
|
function getEAMCut(atomID) result(cutValue) |
220 |
|
|
221 |
|
eamID = EAMList%atidToEAMType(atomID) |
222 |
|
cutValue = EAMList%EAMParams(eamID)%eam_rcut |
230 |
– |
|
223 |
|
end function getEAMCut |
224 |
|
|
225 |
|
subroutine init_EAM_FF(status) |
226 |
|
integer :: status |
227 |
|
integer :: i,j |
228 |
|
real(kind=dp) :: current_rcut_max |
229 |
+ |
#ifdef IS_MPI |
230 |
+ |
integer :: nAtomsInRow |
231 |
+ |
integer :: nAtomsInCol |
232 |
+ |
#endif |
233 |
|
integer :: alloc_stat |
234 |
|
integer :: number_r, number_rho |
235 |
|
|
240 |
– |
|
236 |
|
status = 0 |
237 |
|
if (EAMList%currentAddition == 0) then |
238 |
|
call handleError("init_EAM_FF","No members in EAMList") |
239 |
|
status = -1 |
240 |
|
return |
241 |
|
end if |
242 |
< |
|
248 |
< |
|
249 |
< |
do i = 1, EAMList%currentAddition |
250 |
< |
|
251 |
< |
! Build array of r values |
252 |
< |
|
253 |
< |
do j = 1,EAMList%EAMParams(i)%eam_nr |
254 |
< |
EAMList%EAMParams(i)%eam_rvals(j) = & |
255 |
< |
real(j-1,kind=dp)* & |
256 |
< |
EAMList%EAMParams(i)%eam_dr |
257 |
< |
end do |
258 |
< |
! Build array of rho values |
259 |
< |
do j = 1,EAMList%EAMParams(i)%eam_nrho |
260 |
< |
EAMList%EAMParams(i)%eam_rhovals(j) = & |
261 |
< |
real(j-1,kind=dp)* & |
262 |
< |
EAMList%EAMParams(i)%eam_drho |
263 |
< |
end do |
264 |
< |
! convert from eV to kcal / mol: |
265 |
< |
EAMList%EAMParams(i)%eam_F_rho = EAMList%EAMParams(i)%eam_F_rho * 23.06054E0_DP |
266 |
< |
|
267 |
< |
! precompute the pair potential and get it into kcal / mol: |
268 |
< |
EAMList%EAMParams(i)%eam_phi_r(1) = 0.0E0_DP |
269 |
< |
do j = 2, EAMList%EAMParams(i)%eam_nr |
270 |
< |
EAMList%EAMParams(i)%eam_phi_r(j) = (EAMList%EAMParams(i)%eam_Z_r(j)**2)/EAMList%EAMParams(i)%eam_rvals(j) |
271 |
< |
EAMList%EAMParams(i)%eam_phi_r(j) = EAMList%EAMParams(i)%eam_phi_r(j)*331.999296E0_DP |
272 |
< |
enddo |
273 |
< |
end do |
274 |
< |
|
275 |
< |
|
276 |
< |
do i = 1, EAMList%currentAddition |
277 |
< |
number_r = EAMList%EAMParams(i)%eam_nr |
278 |
< |
number_rho = EAMList%EAMParams(i)%eam_nrho |
279 |
< |
|
280 |
< |
call eam_spline(number_r, EAMList%EAMParams(i)%eam_rvals, & |
281 |
< |
EAMList%EAMParams(i)%eam_rho_r, & |
282 |
< |
EAMList%EAMParams(i)%eam_rho_r_pp, & |
283 |
< |
0.0E0_DP, 0.0E0_DP, 'N') |
284 |
< |
call eam_spline(number_r, EAMList%EAMParams(i)%eam_rvals, & |
285 |
< |
EAMList%EAMParams(i)%eam_Z_r, & |
286 |
< |
EAMList%EAMParams(i)%eam_Z_r_pp, & |
287 |
< |
0.0E0_DP, 0.0E0_DP, 'N') |
288 |
< |
call eam_spline(number_rho, EAMList%EAMParams(i)%eam_rhovals, & |
289 |
< |
EAMList%EAMParams(i)%eam_F_rho, & |
290 |
< |
EAMList%EAMParams(i)%eam_F_rho_pp, & |
291 |
< |
0.0E0_DP, 0.0E0_DP, 'N') |
292 |
< |
call eam_spline(number_r, EAMList%EAMParams(i)%eam_rvals, & |
293 |
< |
EAMList%EAMParams(i)%eam_phi_r, & |
294 |
< |
EAMList%EAMParams(i)%eam_phi_r_pp, & |
295 |
< |
0.0E0_DP, 0.0E0_DP, 'N') |
296 |
< |
enddo |
297 |
< |
|
298 |
< |
! current_rcut_max = EAMList%EAMParams(1)%eam_rcut |
299 |
< |
!! find the smallest rcut for any eam atype |
300 |
< |
! do i = 2, EAMList%currentAddition |
301 |
< |
! current_rcut_max =max(current_rcut_max,EAMList%EAMParams(i)%eam_rcut) |
302 |
< |
! end do |
303 |
< |
|
304 |
< |
! EAM_rcut = current_rcut_max |
305 |
< |
! EAM_rcut_orig = current_rcut_max |
306 |
< |
! do i = 1, EAMList%currentAddition |
307 |
< |
! EAMList%EAMParam(i)s%eam_atype_map(eam_atype(i)) = i |
308 |
< |
! end do |
242 |
> |
|
243 |
|
!! Allocate arrays for force calculation |
244 |
< |
|
311 |
< |
call allocateEAM(alloc_stat) |
312 |
< |
if (alloc_stat /= 0 ) then |
313 |
< |
write(*,*) "allocateEAM failed" |
314 |
< |
status = -1 |
315 |
< |
return |
316 |
< |
endif |
317 |
< |
|
318 |
< |
end subroutine init_EAM_FF |
319 |
< |
|
320 |
< |
!! routine checks to see if array is allocated, deallocates array if allocated |
321 |
< |
!! and then creates the array to the required size |
322 |
< |
subroutine allocateEAM(status) |
323 |
< |
integer, intent(out) :: status |
324 |
< |
|
244 |
> |
|
245 |
|
#ifdef IS_MPI |
326 |
– |
integer :: nAtomsInRow |
327 |
– |
integer :: nAtomsInCol |
328 |
– |
#endif |
329 |
– |
integer :: alloc_stat |
330 |
– |
|
331 |
– |
|
332 |
– |
status = 0 |
333 |
– |
#ifdef IS_MPI |
246 |
|
nAtomsInRow = getNatomsInRow(plan_atom_row) |
247 |
|
nAtomsInCol = getNatomsInCol(plan_atom_col) |
248 |
|
#endif |
253 |
|
status = -1 |
254 |
|
return |
255 |
|
end if |
256 |
+ |
|
257 |
|
if (allocated(rho)) deallocate(rho) |
258 |
|
allocate(rho(nlocal),stat=alloc_stat) |
259 |
|
if (alloc_stat /= 0) then |
268 |
|
return |
269 |
|
end if |
270 |
|
|
358 |
– |
if (allocated(d2frhodrhodrho)) deallocate(d2frhodrhodrho) |
359 |
– |
allocate(d2frhodrhodrho(nlocal),stat=alloc_stat) |
360 |
– |
if (alloc_stat /= 0) then |
361 |
– |
status = -1 |
362 |
– |
return |
363 |
– |
end if |
364 |
– |
|
271 |
|
#ifdef IS_MPI |
272 |
|
|
273 |
|
if (allocated(rho_tmp)) deallocate(rho_tmp) |
277 |
|
return |
278 |
|
end if |
279 |
|
|
374 |
– |
|
280 |
|
if (allocated(frho_row)) deallocate(frho_row) |
281 |
|
allocate(frho_row(nAtomsInRow),stat=alloc_stat) |
282 |
|
if (alloc_stat /= 0) then |
295 |
|
status = -1 |
296 |
|
return |
297 |
|
end if |
393 |
– |
if (allocated(d2frhodrhodrho_row)) deallocate(d2frhodrhodrho_row) |
394 |
– |
allocate(d2frhodrhodrho_row(nAtomsInRow),stat=alloc_stat) |
395 |
– |
if (alloc_stat /= 0) then |
396 |
– |
status = -1 |
397 |
– |
return |
398 |
– |
end if |
298 |
|
|
400 |
– |
|
299 |
|
! Now do column arrays |
300 |
|
|
301 |
|
if (allocated(frho_col)) deallocate(frho_col) |
316 |
|
status = -1 |
317 |
|
return |
318 |
|
end if |
421 |
– |
if (allocated(d2frhodrhodrho_col)) deallocate(d2frhodrhodrho_col) |
422 |
– |
allocate(d2frhodrhodrho_col(nAtomsInCol),stat=alloc_stat) |
423 |
– |
if (alloc_stat /= 0) then |
424 |
– |
status = -1 |
425 |
– |
return |
426 |
– |
end if |
319 |
|
|
320 |
|
#endif |
321 |
|
|
322 |
< |
end subroutine allocateEAM |
322 |
> |
end subroutine init_EAM_FF |
323 |
|
|
324 |
< |
!! C sets rcut to be the largest cutoff of any atype |
433 |
< |
!! present in this simulation. Doesn't include all atypes |
434 |
< |
!! sim knows about, just those in the simulation. |
435 |
< |
subroutine setCutoffEAM(rcut, status) |
324 |
> |
subroutine setCutoffEAM(rcut) |
325 |
|
real(kind=dp) :: rcut |
437 |
– |
integer :: status |
438 |
– |
status = 0 |
439 |
– |
|
326 |
|
EAM_rcut = rcut |
441 |
– |
|
327 |
|
end subroutine setCutoffEAM |
328 |
|
|
444 |
– |
|
445 |
– |
|
329 |
|
subroutine clean_EAM() |
330 |
|
|
331 |
|
! clean non-IS_MPI first |
344 |
|
#endif |
345 |
|
end subroutine clean_EAM |
346 |
|
|
464 |
– |
|
465 |
– |
|
466 |
– |
subroutine allocate_EAMType(eam_n_rho,eam_n_r,thisEAMType,stat) |
467 |
– |
integer, intent(in) :: eam_n_rho |
468 |
– |
integer, intent(in) :: eam_n_r |
469 |
– |
type (EAMType) :: thisEAMType |
470 |
– |
integer, optional :: stat |
471 |
– |
integer :: alloc_stat |
472 |
– |
|
473 |
– |
|
474 |
– |
|
475 |
– |
if (present(stat)) stat = 0 |
476 |
– |
|
477 |
– |
allocate(thisEAMType%eam_rvals(eam_n_r),stat=alloc_stat) |
478 |
– |
if (alloc_stat /= 0 ) then |
479 |
– |
if (present(stat)) stat = -1 |
480 |
– |
return |
481 |
– |
end if |
482 |
– |
allocate(thisEAMType%eam_rhovals(eam_n_rho),stat=alloc_stat) |
483 |
– |
if (alloc_stat /= 0 ) then |
484 |
– |
if (present(stat)) stat = -1 |
485 |
– |
return |
486 |
– |
end if |
487 |
– |
allocate(thisEAMType%eam_F_rho(eam_n_rho),stat=alloc_stat) |
488 |
– |
if (alloc_stat /= 0 ) then |
489 |
– |
if (present(stat)) stat = -1 |
490 |
– |
return |
491 |
– |
end if |
492 |
– |
allocate(thisEAMType%eam_Z_r(eam_n_r),stat=alloc_stat) |
493 |
– |
if (alloc_stat /= 0 ) then |
494 |
– |
if (present(stat)) stat = -1 |
495 |
– |
return |
496 |
– |
end if |
497 |
– |
allocate(thisEAMType%eam_rho_r(eam_n_r),stat=alloc_stat) |
498 |
– |
if (alloc_stat /= 0 ) then |
499 |
– |
if (present(stat)) stat = -1 |
500 |
– |
return |
501 |
– |
end if |
502 |
– |
allocate(thisEAMType%eam_phi_r(eam_n_r),stat=alloc_stat) |
503 |
– |
if (alloc_stat /= 0 ) then |
504 |
– |
if (present(stat)) stat = -1 |
505 |
– |
return |
506 |
– |
end if |
507 |
– |
allocate(thisEAMType%eam_F_rho_pp(eam_n_rho),stat=alloc_stat) |
508 |
– |
if (alloc_stat /= 0 ) then |
509 |
– |
if (present(stat)) stat = -1 |
510 |
– |
return |
511 |
– |
end if |
512 |
– |
allocate(thisEAMType%eam_Z_r_pp(eam_n_r),stat=alloc_stat) |
513 |
– |
if (alloc_stat /= 0 ) then |
514 |
– |
if (present(stat)) stat = -1 |
515 |
– |
return |
516 |
– |
end if |
517 |
– |
allocate(thisEAMType%eam_rho_r_pp(eam_n_r),stat=alloc_stat) |
518 |
– |
if (alloc_stat /= 0 ) then |
519 |
– |
if (present(stat)) stat = -1 |
520 |
– |
return |
521 |
– |
end if |
522 |
– |
allocate(thisEAMType%eam_phi_r_pp(eam_n_r),stat=alloc_stat) |
523 |
– |
if (alloc_stat /= 0 ) then |
524 |
– |
if (present(stat)) stat = -1 |
525 |
– |
return |
526 |
– |
end if |
527 |
– |
|
528 |
– |
|
529 |
– |
end subroutine allocate_EAMType |
530 |
– |
|
531 |
– |
|
347 |
|
subroutine deallocate_EAMType(thisEAMType) |
348 |
|
type (EAMtype), pointer :: thisEAMType |
349 |
|
|
350 |
< |
! free Arrays in reverse order of allocation... |
351 |
< |
if(associated(thisEAMType%eam_phi_r_pp)) deallocate(thisEAMType%eam_phi_r_pp) |
352 |
< |
if(associated(thisEAMType%eam_rho_r_pp)) deallocate(thisEAMType%eam_rho_r_pp) |
353 |
< |
if(associated(thisEAMType%eam_Z_r_pp)) deallocate(thisEAMType%eam_Z_r_pp) |
539 |
< |
if(associated(thisEAMType%eam_F_rho_pp)) deallocate(thisEAMType%eam_F_rho_pp) |
540 |
< |
if(associated(thisEAMType%eam_phi_r)) deallocate(thisEAMType%eam_phi_r) |
541 |
< |
if(associated(thisEAMType%eam_rho_r)) deallocate(thisEAMType%eam_rho_r) |
542 |
< |
if(associated(thisEAMType%eam_Z_r)) deallocate(thisEAMType%eam_Z_r) |
543 |
< |
if(associated(thisEAMType%eam_F_rho)) deallocate(thisEAMType%eam_F_rho) |
544 |
< |
if(associated(thisEAMType%eam_rhovals)) deallocate(thisEAMType%eam_rhovals) |
545 |
< |
if(associated(thisEAMType%eam_rvals)) deallocate(thisEAMType%eam_rvals) |
350 |
> |
call deleteSpline(thisEAMType%F) |
351 |
> |
call deleteSpline(thisEAMType%rho) |
352 |
> |
call deleteSpline(thisEAMType%phi) |
353 |
> |
call deleteSpline(thisEAMType%Z) |
354 |
|
|
355 |
|
end subroutine deallocate_EAMType |
356 |
|
|
357 |
|
!! Calculates rho_r |
358 |
|
subroutine calc_eam_prepair_rho(atom1,atom2,d,r,rijsq) |
359 |
< |
integer :: atom1,atom2 |
359 |
> |
integer :: atom1, atom2 |
360 |
|
real(kind = dp), dimension(3) :: d |
361 |
|
real(kind = dp), intent(inout) :: r |
362 |
|
real(kind = dp), intent(inout) :: rijsq |
364 |
|
real(kind = dp) :: rho_i_at_j |
365 |
|
! value of electron density rho do to atom j at atom i |
366 |
|
real(kind = dp) :: rho_j_at_i |
559 |
– |
|
560 |
– |
! we don't use the derivatives, dummy variables |
561 |
– |
real( kind = dp) :: drho,d2rho |
367 |
|
integer :: eam_err |
368 |
+ |
|
369 |
+ |
integer :: atid1, atid2 ! Global atid |
370 |
+ |
integer :: myid_atom1 ! EAM atid |
371 |
+ |
integer :: myid_atom2 |
372 |
|
|
564 |
– |
integer :: myid_atom1 |
565 |
– |
integer :: myid_atom2 |
566 |
– |
|
373 |
|
! check to see if we need to be cleaned at the start of a force loop |
374 |
|
|
569 |
– |
|
570 |
– |
|
571 |
– |
|
375 |
|
#ifdef IS_MPI |
376 |
< |
myid_atom1 = atid_Row(atom1) |
377 |
< |
myid_atom2 = atid_Col(atom2) |
376 |
> |
Atid1 = Atid_row(Atom1) |
377 |
> |
Atid2 = Atid_col(Atom2) |
378 |
|
#else |
379 |
< |
myid_atom1 = atid(atom1) |
380 |
< |
myid_atom2 = atid(atom2) |
379 |
> |
Atid1 = Atid(Atom1) |
380 |
> |
Atid2 = Atid(Atom2) |
381 |
|
#endif |
382 |
|
|
383 |
+ |
Myid_atom1 = Eamlist%atidtoeamtype(Atid1) |
384 |
+ |
Myid_atom2 = Eamlist%atidtoeamtype(Atid2) |
385 |
+ |
|
386 |
|
if (r.lt.EAMList%EAMParams(myid_atom1)%eam_rcut) then |
387 |
|
|
388 |
< |
|
389 |
< |
|
584 |
< |
call eam_splint(EAMList%EAMParams(myid_atom1)%eam_nr, & |
585 |
< |
EAMList%EAMParams(myid_atom1)%eam_rvals, & |
586 |
< |
EAMList%EAMParams(myid_atom1)%eam_rho_r, & |
587 |
< |
EAMList%EAMParams(myid_atom1)%eam_rho_r_pp, & |
588 |
< |
r, rho_i_at_j,drho,d2rho) |
589 |
< |
|
590 |
< |
|
388 |
> |
call lookupUniformSpline(EAMList%EAMParams(myid_atom1)%rho, r, & |
389 |
> |
rho_i_at_j) |
390 |
|
|
391 |
|
#ifdef IS_MPI |
392 |
|
rho_col(atom2) = rho_col(atom2) + rho_i_at_j |
393 |
|
#else |
394 |
|
rho(atom2) = rho(atom2) + rho_i_at_j |
395 |
|
#endif |
597 |
– |
! write(*,*) atom1,atom2,r,rho_i_at_j |
396 |
|
endif |
397 |
|
|
398 |
|
if (r.lt.EAMList%EAMParams(myid_atom2)%eam_rcut) then |
601 |
– |
call eam_splint(EAMList%EAMParams(myid_atom2)%eam_nr, & |
602 |
– |
EAMList%EAMParams(myid_atom2)%eam_rvals, & |
603 |
– |
EAMList%EAMParams(myid_atom2)%eam_rho_r, & |
604 |
– |
EAMList%EAMParams(myid_atom2)%eam_rho_r_pp, & |
605 |
– |
r, rho_j_at_i,drho,d2rho) |
399 |
|
|
400 |
+ |
call lookupUniformSpline(EAMList%EAMParams(myid_atom2)%rho, r, & |
401 |
+ |
rho_j_at_i) |
402 |
|
|
608 |
– |
|
609 |
– |
|
403 |
|
#ifdef IS_MPI |
404 |
|
rho_row(atom1) = rho_row(atom1) + rho_j_at_i |
405 |
|
#else |
407 |
|
#endif |
408 |
|
endif |
409 |
|
|
617 |
– |
|
618 |
– |
|
619 |
– |
|
620 |
– |
|
621 |
– |
|
410 |
|
end subroutine calc_eam_prepair_rho |
411 |
|
|
412 |
|
|
625 |
– |
|
626 |
– |
|
413 |
|
!! Calculate the functional F(rho) for all local atoms |
414 |
< |
subroutine calc_eam_preforce_Frho(nlocal,pot) |
414 |
> |
subroutine calc_eam_preforce_Frho(nlocal, pot) |
415 |
|
integer :: nlocal |
416 |
|
real(kind=dp) :: pot |
417 |
< |
integer :: i,j |
417 |
> |
integer :: i, j |
418 |
|
integer :: atom |
419 |
< |
real(kind=dp) :: U,U1,U2 |
419 |
> |
real(kind=dp) :: U,U1 |
420 |
|
integer :: atype1 |
421 |
< |
integer :: me |
636 |
< |
integer :: n_rho_points |
421 |
> |
integer :: me, atid1 |
422 |
|
|
638 |
– |
|
423 |
|
cleanme = .true. |
424 |
< |
!! Scatter the electron density from pre-pair calculation back to local atoms |
424 |
> |
!! Scatter the electron density from pre-pair calculation back to |
425 |
> |
!! local atoms |
426 |
|
#ifdef IS_MPI |
427 |
|
call scatter(rho_row,rho,plan_atom_row,eam_err) |
428 |
|
if (eam_err /= 0 ) then |
438 |
|
rho(1:nlocal) = rho(1:nlocal) + rho_tmp(1:nlocal) |
439 |
|
#endif |
440 |
|
|
656 |
– |
|
657 |
– |
|
441 |
|
!! Calculate F(rho) and derivative |
442 |
|
do atom = 1, nlocal |
443 |
< |
me = atid(atom) |
444 |
< |
n_rho_points = EAMList%EAMParams(me)%eam_nrho |
662 |
< |
! Check to see that the density is not greater than the larges rho we have calculated |
663 |
< |
if (rho(atom) < EAMList%EAMParams(me)%eam_rhovals(n_rho_points)) then |
664 |
< |
call eam_splint(n_rho_points, & |
665 |
< |
EAMList%EAMParams(me)%eam_rhovals, & |
666 |
< |
EAMList%EAMParams(me)%eam_f_rho, & |
667 |
< |
EAMList%EAMParams(me)%eam_f_rho_pp, & |
668 |
< |
rho(atom), & ! Actual Rho |
669 |
< |
u, u1, u2) |
670 |
< |
else |
671 |
< |
! Calculate F(rho with the largest available rho value |
672 |
< |
call eam_splint(n_rho_points, & |
673 |
< |
EAMList%EAMParams(me)%eam_rhovals, & |
674 |
< |
EAMList%EAMParams(me)%eam_f_rho, & |
675 |
< |
EAMList%EAMParams(me)%eam_f_rho_pp, & |
676 |
< |
EAMList%EAMParams(me)%eam_rhovals(n_rho_points), & ! Largest rho |
677 |
< |
u,u1,u2) |
678 |
< |
end if |
443 |
> |
atid1 = atid(atom) |
444 |
> |
me = eamList%atidToEAMtype(atid1) |
445 |
|
|
446 |
< |
|
446 |
> |
call lookupUniformSpline1d(EAMList%EAMParams(me)%F, rho(atom), & |
447 |
> |
u, u1) |
448 |
> |
|
449 |
|
frho(atom) = u |
450 |
|
dfrhodrho(atom) = u1 |
683 |
– |
d2frhodrhodrho(atom) = u2 |
451 |
|
pot = pot + u |
685 |
– |
|
452 |
|
enddo |
453 |
|
|
688 |
– |
|
689 |
– |
|
454 |
|
#ifdef IS_MPI |
455 |
|
!! communicate f(rho) and derivatives back into row and column arrays |
456 |
|
call gather(frho,frho_row,plan_atom_row, eam_err) |
469 |
|
if (eam_err /= 0) then |
470 |
|
call handleError("cal_eam_forces()","MPI gather dfrhodrho_col failure") |
471 |
|
endif |
708 |
– |
|
709 |
– |
|
710 |
– |
|
711 |
– |
|
712 |
– |
|
713 |
– |
if (nmflag) then |
714 |
– |
call gather(d2frhodrhodrho,d2frhodrhodrho_row,plan_atom_row) |
715 |
– |
call gather(d2frhodrhodrho,d2frhodrhodrho_col,plan_atom_col) |
716 |
– |
endif |
472 |
|
#endif |
473 |
|
|
474 |
|
|
475 |
|
end subroutine calc_eam_preforce_Frho |
476 |
< |
|
722 |
< |
|
723 |
< |
|
724 |
< |
|
476 |
> |
|
477 |
|
!! Does EAM pairwise Force calculation. |
478 |
|
subroutine do_eam_pair(atom1, atom2, d, rij, r2, sw, vpair, fpair, & |
479 |
|
pot, f, do_pot) |
487 |
|
|
488 |
|
logical, intent(in) :: do_pot |
489 |
|
|
490 |
< |
real( kind = dp ) :: drdx,drdy,drdz |
491 |
< |
real( kind = dp ) :: d2 |
492 |
< |
real( kind = dp ) :: phab,pha,dvpdr,d2vpdrdr |
493 |
< |
real( kind = dp ) :: rha,drha,d2rha, dpha |
742 |
< |
real( kind = dp ) :: rhb,drhb,d2rhb, dphb |
490 |
> |
real( kind = dp ) :: drdx, drdy, drdz |
491 |
> |
real( kind = dp ) :: phab, pha, dvpdr |
492 |
> |
real( kind = dp ) :: rha, drha, dpha |
493 |
> |
real( kind = dp ) :: rhb, drhb, dphb |
494 |
|
real( kind = dp ) :: dudr |
495 |
< |
real( kind = dp ) :: rci,rcj |
496 |
< |
real( kind = dp ) :: drhoidr,drhojdr |
497 |
< |
real( kind = dp ) :: d2rhoidrdr |
498 |
< |
real( kind = dp ) :: d2rhojdrdr |
748 |
< |
real( kind = dp ) :: Fx,Fy,Fz |
749 |
< |
real( kind = dp ) :: r,d2pha,phb,d2phb |
495 |
> |
real( kind = dp ) :: rci, rcj |
496 |
> |
real( kind = dp ) :: drhoidr, drhojdr |
497 |
> |
real( kind = dp ) :: Fx, Fy, Fz |
498 |
> |
real( kind = dp ) :: r, phb |
499 |
|
|
500 |
< |
integer :: id1,id2 |
500 |
> |
integer :: id1, id2 |
501 |
|
integer :: mytype_atom1 |
502 |
|
integer :: mytype_atom2 |
503 |
+ |
integer :: atid1, atid2 |
504 |
|
|
755 |
– |
!Local Variables |
756 |
– |
|
757 |
– |
! write(*,*) "Frho: ", Frho(atom1) |
758 |
– |
|
505 |
|
phab = 0.0E0_DP |
506 |
|
dvpdr = 0.0E0_DP |
761 |
– |
d2vpdrdr = 0.0E0_DP |
507 |
|
|
508 |
|
if (rij .lt. EAM_rcut) then |
509 |
|
|
510 |
|
#ifdef IS_MPI |
511 |
< |
mytype_atom1 = atid_row(atom1) |
512 |
< |
mytype_atom2 = atid_col(atom2) |
511 |
> |
atid1 = atid_row(atom1) |
512 |
> |
atid2 = atid_col(atom2) |
513 |
|
#else |
514 |
< |
mytype_atom1 = atid(atom1) |
515 |
< |
mytype_atom2 = atid(atom2) |
514 |
> |
atid1 = atid(atom1) |
515 |
> |
atid2 = atid(atom2) |
516 |
|
#endif |
517 |
+ |
|
518 |
+ |
mytype_atom1 = EAMList%atidToEAMType(atid1) |
519 |
+ |
mytype_atom2 = EAMList%atidTOEAMType(atid2) |
520 |
+ |
|
521 |
+ |
|
522 |
|
! get cutoff for atom 1 |
523 |
|
rci = EAMList%EAMParams(mytype_atom1)%eam_rcut |
524 |
|
! get type specific cutoff for atom 2 |
529 |
|
drdz = d(3)/rij |
530 |
|
|
531 |
|
if (rij.lt.rci) then |
532 |
< |
call eam_splint(EAMList%EAMParams(mytype_atom1)%eam_nr, & |
533 |
< |
EAMList%EAMParams(mytype_atom1)%eam_rvals, & |
534 |
< |
EAMList%EAMParams(mytype_atom1)%eam_rho_r, & |
535 |
< |
EAMList%EAMParams(mytype_atom1)%eam_rho_r_pp, & |
536 |
< |
rij, rha,drha,d2rha) |
537 |
< |
!! Calculate Phi(r) for atom1. |
538 |
< |
call eam_splint(EAMList%EAMParams(mytype_atom1)%eam_nr, & |
539 |
< |
EAMList%EAMParams(mytype_atom1)%eam_rvals, & |
540 |
< |
EAMList%EAMParams(mytype_atom1)%eam_phi_r, & |
541 |
< |
EAMList%EAMParams(mytype_atom1)%eam_phi_r_pp, & |
542 |
< |
rij, pha,dpha,d2pha) |
532 |
> |
|
533 |
> |
! Calculate rho and drho for atom1 |
534 |
> |
|
535 |
> |
call lookupUniformSpline1d(EAMList%EAMParams(mytype_atom1)%rho, & |
536 |
> |
rij, rha, drha) |
537 |
> |
|
538 |
> |
! Calculate Phi(r) for atom1. |
539 |
> |
|
540 |
> |
call lookupUniformSpline1d(EAMList%EAMParams(mytype_atom1)%phi, & |
541 |
> |
rij, pha, dpha) |
542 |
> |
|
543 |
|
endif |
544 |
|
|
545 |
|
if (rij.lt.rcj) then |
796 |
– |
! Calculate rho,drho and d2rho for atom1 |
797 |
– |
call eam_splint(EAMList%EAMParams(mytype_atom2)%eam_nr, & |
798 |
– |
EAMList%EAMParams(mytype_atom2)%eam_rvals, & |
799 |
– |
EAMList%EAMParams(mytype_atom2)%eam_rho_r, & |
800 |
– |
EAMList%EAMParams(mytype_atom2)%eam_rho_r_pp, & |
801 |
– |
rij, rhb,drhb,d2rhb) |
546 |
|
|
547 |
< |
!! Calculate Phi(r) for atom2. |
548 |
< |
call eam_splint(EAMList%EAMParams(mytype_atom2)%eam_nr, & |
549 |
< |
EAMList%EAMParams(mytype_atom2)%eam_rvals, & |
550 |
< |
EAMList%EAMParams(mytype_atom2)%eam_phi_r, & |
551 |
< |
EAMList%EAMParams(mytype_atom2)%eam_phi_r_pp, & |
552 |
< |
rij, phb,dphb,d2phb) |
547 |
> |
! Calculate rho and drho for atom2 |
548 |
> |
|
549 |
> |
call lookupUniformSpline1d(EAMList%EAMParams(mytype_atom2)%rho, & |
550 |
> |
rij, rhb, drhb) |
551 |
> |
|
552 |
> |
! Calculate Phi(r) for atom2. |
553 |
> |
|
554 |
> |
call lookupUniformSpline1d(EAMList%EAMParams(mytype_atom2)%phi, & |
555 |
> |
rij, phb, dphb) |
556 |
> |
|
557 |
|
endif |
558 |
|
|
559 |
|
if (rij.lt.rci) then |
560 |
|
phab = phab + 0.5E0_DP*(rhb/rha)*pha |
561 |
|
dvpdr = dvpdr + 0.5E0_DP*((rhb/rha)*dpha + & |
562 |
|
pha*((drhb/rha) - (rhb*drha/rha/rha))) |
815 |
– |
d2vpdrdr = d2vpdrdr + 0.5E0_DP*((rhb/rha)*d2pha + & |
816 |
– |
2.0E0_DP*dpha*((drhb/rha) - (rhb*drha/rha/rha)) + & |
817 |
– |
pha*((d2rhb/rha) - 2.0E0_DP*(drhb*drha/rha/rha) + & |
818 |
– |
(2.0E0_DP*rhb*drha*drha/rha/rha/rha) - (rhb*d2rha/rha/rha))) |
563 |
|
endif |
564 |
|
|
565 |
|
if (rij.lt.rcj) then |
566 |
|
phab = phab + 0.5E0_DP*(rha/rhb)*phb |
567 |
|
dvpdr = dvpdr + 0.5E0_DP*((rha/rhb)*dphb + & |
568 |
|
phb*((drha/rhb) - (rha*drhb/rhb/rhb))) |
825 |
– |
d2vpdrdr = d2vpdrdr + 0.5E0_DP*((rha/rhb)*d2phb + & |
826 |
– |
2.0E0_DP*dphb*((drha/rhb) - (rha*drhb/rhb/rhb)) + & |
827 |
– |
phb*((d2rha/rhb) - 2.0E0_DP*(drha*drhb/rhb/rhb) + & |
828 |
– |
(2.0E0_DP*rha*drhb*drhb/rhb/rhb/rhb) - (rha*d2rhb/rhb/rhb))) |
569 |
|
endif |
570 |
|
|
571 |
|
drhoidr = drha |
572 |
|
drhojdr = drhb |
573 |
|
|
834 |
– |
d2rhoidrdr = d2rha |
835 |
– |
d2rhojdrdr = d2rhb |
836 |
– |
|
837 |
– |
|
574 |
|
#ifdef IS_MPI |
575 |
|
dudr = drhojdr*dfrhodrho_row(atom1)+drhoidr*dfrhodrho_col(atom2) & |
576 |
|
+ dvpdr |
578 |
|
#else |
579 |
|
dudr = drhojdr*dfrhodrho(atom1)+drhoidr*dfrhodrho(atom2) & |
580 |
|
+ dvpdr |
845 |
– |
! write(*,*) "Atom1,Atom2, dfrhodrho(atom1) dfrhodrho(atom2): ", atom1,atom2,dfrhodrho(atom1),dfrhodrho(atom2) |
581 |
|
#endif |
582 |
|
|
583 |
|
fx = dudr * drdx |
587 |
|
|
588 |
|
#ifdef IS_MPI |
589 |
|
if (do_pot) then |
590 |
< |
pot_Row(atom1) = pot_Row(atom1) + phab*0.5 |
591 |
< |
pot_Col(atom2) = pot_Col(atom2) + phab*0.5 |
590 |
> |
pot_Row(METALLIC_POT,atom1) = pot_Row(METALLIC_POT,atom1) + phab*0.5 |
591 |
> |
pot_Col(METALLIC_POT,atom2) = pot_Col(METALLIC_POT,atom2) + phab*0.5 |
592 |
|
end if |
593 |
|
|
594 |
|
f_Row(1,atom1) = f_Row(1,atom1) + fx |
614 |
|
#endif |
615 |
|
|
616 |
|
vpair = vpair + phab |
617 |
+ |
|
618 |
|
#ifdef IS_MPI |
619 |
|
id1 = AtomRowToGlobal(atom1) |
620 |
|
id2 = AtomColToGlobal(atom2) |
630 |
|
fpair(3) = fpair(3) + fz |
631 |
|
|
632 |
|
endif |
897 |
– |
|
898 |
– |
if (nmflag) then |
899 |
– |
|
900 |
– |
drhoidr = drha |
901 |
– |
drhojdr = drhb |
902 |
– |
d2rhoidrdr = d2rha |
903 |
– |
d2rhojdrdr = d2rhb |
904 |
– |
|
905 |
– |
#ifdef IS_MPI |
906 |
– |
d2 = d2vpdrdr + & |
907 |
– |
d2rhoidrdr*dfrhodrho_col(atom2) + & |
908 |
– |
d2rhojdrdr*dfrhodrho_row(atom1) + & |
909 |
– |
drhoidr*drhoidr*d2frhodrhodrho_col(atom2) + & |
910 |
– |
drhojdr*drhojdr*d2frhodrhodrho_row(atom1) |
911 |
– |
|
912 |
– |
#else |
913 |
– |
|
914 |
– |
d2 = d2vpdrdr + & |
915 |
– |
d2rhoidrdr*dfrhodrho(atom2) + & |
916 |
– |
d2rhojdrdr*dfrhodrho(atom1) + & |
917 |
– |
drhoidr*drhoidr*d2frhodrhodrho(atom2) + & |
918 |
– |
drhojdr*drhojdr*d2frhodrhodrho(atom1) |
919 |
– |
#endif |
920 |
– |
end if |
921 |
– |
|
633 |
|
endif |
634 |
|
end subroutine do_eam_pair |
635 |
|
|
925 |
– |
|
926 |
– |
subroutine eam_splint(nx, xa, ya, yppa, x, y, dy, d2y) |
927 |
– |
|
928 |
– |
integer :: atype, nx, j |
929 |
– |
real( kind = DP ), dimension(:) :: xa |
930 |
– |
real( kind = DP ), dimension(:) :: ya |
931 |
– |
real( kind = DP ), dimension(:) :: yppa |
932 |
– |
real( kind = DP ) :: x, y |
933 |
– |
real( kind = DP ) :: dy, d2y |
934 |
– |
real( kind = DP ) :: del, h, a, b, c, d |
935 |
– |
integer :: pp_arraySize |
936 |
– |
|
937 |
– |
|
938 |
– |
! this spline code assumes that the x points are equally spaced |
939 |
– |
! do not attempt to use this code if they are not. |
940 |
– |
|
941 |
– |
|
942 |
– |
! find the closest point with a value below our own: |
943 |
– |
j = FLOOR(real((nx-1),kind=dp) * (x - xa(1)) / (xa(nx) - xa(1))) + 1 |
944 |
– |
|
945 |
– |
! check to make sure we're inside the spline range: |
946 |
– |
if ((j.gt.nx).or.(j.lt.1)) then |
947 |
– |
write(errMSG,*) "EAM_splint: x is outside bounds of spline: ",x,j |
948 |
– |
call handleError(routineName,errMSG) |
949 |
– |
endif |
950 |
– |
! check to make sure we haven't screwed up the calculation of j: |
951 |
– |
if ((x.lt.xa(j)).or.(x.gt.xa(j+1))) then |
952 |
– |
if (j.ne.nx) then |
953 |
– |
write(errMSG,*) "EAM_splint:",x," x is outside bounding range" |
954 |
– |
call handleError(routineName,errMSG) |
955 |
– |
endif |
956 |
– |
endif |
957 |
– |
|
958 |
– |
del = xa(j+1) - x |
959 |
– |
h = xa(j+1) - xa(j) |
960 |
– |
|
961 |
– |
a = del / h |
962 |
– |
b = 1.0E0_DP - a |
963 |
– |
c = a*(a*a - 1.0E0_DP)*h*h/6.0E0_DP |
964 |
– |
d = b*(b*b - 1.0E0_DP)*h*h/6.0E0_DP |
965 |
– |
|
966 |
– |
y = a*ya(j) + b*ya(j+1) + c*yppa(j) + d*yppa(j+1) |
967 |
– |
|
968 |
– |
dy = (ya(j+1)-ya(j))/h & |
969 |
– |
- (3.0E0_DP*a*a - 1.0E0_DP)*h*yppa(j)/6.0E0_DP & |
970 |
– |
+ (3.0E0_DP*b*b - 1.0E0_DP)*h*yppa(j+1)/6.0E0_DP |
971 |
– |
|
972 |
– |
|
973 |
– |
d2y = a*yppa(j) + b*yppa(j+1) |
974 |
– |
|
975 |
– |
|
976 |
– |
end subroutine eam_splint |
977 |
– |
|
978 |
– |
|
979 |
– |
subroutine eam_spline(nx, xa, ya, yppa, yp1, ypn, boundary) |
980 |
– |
|
981 |
– |
|
982 |
– |
! yp1 and ypn are the first derivatives of y at the two endpoints |
983 |
– |
! if boundary is 'L' the lower derivative is used |
984 |
– |
! if boundary is 'U' the upper derivative is used |
985 |
– |
! if boundary is 'B' then both derivatives are used |
986 |
– |
! if boundary is anything else, then both derivatives are assumed to be 0 |
987 |
– |
|
988 |
– |
integer :: nx, i, k, max_array_size |
989 |
– |
|
990 |
– |
real( kind = DP ), dimension(:) :: xa |
991 |
– |
real( kind = DP ), dimension(:) :: ya |
992 |
– |
real( kind = DP ), dimension(:) :: yppa |
993 |
– |
real( kind = DP ), dimension(size(xa)) :: u |
994 |
– |
real( kind = DP ) :: yp1,ypn,un,qn,sig,p |
995 |
– |
character(len=*) :: boundary |
996 |
– |
|
997 |
– |
! make sure the sizes match |
998 |
– |
if ((nx /= size(xa)) .or. (nx /= size(ya))) then |
999 |
– |
call handleWarning("EAM_SPLINE","Array size mismatch") |
1000 |
– |
end if |
1001 |
– |
|
1002 |
– |
if ((boundary.eq.'l').or.(boundary.eq.'L').or. & |
1003 |
– |
(boundary.eq.'b').or.(boundary.eq.'B')) then |
1004 |
– |
yppa(1) = -0.5E0_DP |
1005 |
– |
u(1) = (3.0E0_DP/(xa(2)-xa(1)))*((ya(2)-& |
1006 |
– |
ya(1))/(xa(2)-xa(1))-yp1) |
1007 |
– |
else |
1008 |
– |
yppa(1) = 0.0E0_DP |
1009 |
– |
u(1) = 0.0E0_DP |
1010 |
– |
endif |
1011 |
– |
|
1012 |
– |
do i = 2, nx - 1 |
1013 |
– |
sig = (xa(i) - xa(i-1)) / (xa(i+1) - xa(i-1)) |
1014 |
– |
p = sig * yppa(i-1) + 2.0E0_DP |
1015 |
– |
yppa(i) = (sig - 1.0E0_DP) / p |
1016 |
– |
u(i) = (6.0E0_DP*((ya(i+1)-ya(i))/(xa(i+1)-xa(i)) - & |
1017 |
– |
(ya(i)-ya(i-1))/(xa(i)-xa(i-1)))/ & |
1018 |
– |
(xa(i+1)-xa(i-1)) - sig * u(i-1))/p |
1019 |
– |
enddo |
1020 |
– |
|
1021 |
– |
if ((boundary.eq.'u').or.(boundary.eq.'U').or. & |
1022 |
– |
(boundary.eq.'b').or.(boundary.eq.'B')) then |
1023 |
– |
qn = 0.5E0_DP |
1024 |
– |
un = (3.0E0_DP/(xa(nx)-xa(nx-1)))* & |
1025 |
– |
(ypn-(ya(nx)-ya(nx-1))/(xa(nx)-xa(nx-1))) |
1026 |
– |
else |
1027 |
– |
qn = 0.0E0_DP |
1028 |
– |
un = 0.0E0_DP |
1029 |
– |
endif |
1030 |
– |
|
1031 |
– |
yppa(nx)=(un-qn*u(nx-1))/(qn*yppa(nx-1)+1.0E0_DP) |
1032 |
– |
|
1033 |
– |
do k = nx-1, 1, -1 |
1034 |
– |
yppa(k)=yppa(k)*yppa(k+1)+u(k) |
1035 |
– |
enddo |
1036 |
– |
|
1037 |
– |
end subroutine eam_spline |
1038 |
– |
|
636 |
|
end module eam |