62 |
|
type(ShapeList), save :: ShapeMap |
63 |
|
|
64 |
|
integer :: lmax |
65 |
– |
real (kind=dp), allocatable, dimension(:,:) :: plm_i, dlm_i, plm_j, dlm_j |
66 |
– |
real (kind=dp), allocatable, dimension(:) :: tm_i, dtm_i, um_i, dum_i |
67 |
– |
real (kind=dp), allocatable, dimension(:) :: tm_j, dtm_j, um_j, dum_j |
65 |
|
|
66 |
|
contains |
67 |
|
|
435 |
|
real (kind=dp) :: fxji, fyji, fzji, fxjj, fyjj, fzjj |
436 |
|
real (kind=dp) :: fxradial, fyradial, fzradial |
437 |
|
|
438 |
< |
real (kind=dp) :: plm_i(LMAX,MMAX), dlm_i(LMAX,MMAX) |
439 |
< |
real (kind=dp) :: plm_j(LMAX,MMAX), dlm_j(LMAX,MMAX) |
440 |
< |
real (kind=dp) :: tm_i(MMAX), dtm_i(MMAX), um_i(MMAX), dum_i(MMAX) |
441 |
< |
real (kind=dp) :: tm_j(MMAX), dtm_j(MMAX), um_j(MMAX), dum_j(MMAX) |
438 |
> |
real (kind=dp) :: plm_i(0:LMAX,0:MMAX), dlm_i(0:LMAX,0:MMAX) |
439 |
> |
real (kind=dp) :: plm_j(0:LMAX,0:MMAX), dlm_j(0:LMAX,0:MMAX) |
440 |
> |
real (kind=dp) :: tm_i(0:MMAX), dtm_i(0:MMAX), um_i(0:MMAX), dum_i(0:MMAX) |
441 |
> |
real (kind=dp) :: tm_j(0:MMAX), dtm_j(0:MMAX), um_j(0:MMAX), dum_j(0:MMAX) |
442 |
|
|
443 |
|
if (.not.haveShapeMap) then |
444 |
|
call handleError("calc_shape", "NO SHAPEMAP!!!!") |
547 |
|
dspiduy = xi * yi * zi / proji3 |
548 |
|
dspiduz = xi * (1.0d0 / proji - yi2 / proji3) + (xi * yi2 / proji3) |
549 |
|
|
550 |
< |
call Associated_Legendre(cti, ShapeMap%Shapes(st1)%bigL, & |
551 |
< |
ShapeMap%Shapes(st1)%bigM, LMAX, & |
550 |
> |
call Associated_Legendre(cti, ShapeMap%Shapes(st1)%bigM, & |
551 |
> |
ShapeMap%Shapes(st1)%bigL, LMAX, & |
552 |
|
plm_i, dlm_i) |
553 |
|
|
554 |
|
call Orthogonal_Polynomial(cpi, ShapeMap%Shapes(st1)%bigM, MMAX, & |
585 |
|
function_type = ShapeMap%Shapes(st1)%ContactFunctionType(lm) |
586 |
|
|
587 |
|
if ((function_type .eq. SH_COS).or.(m.eq.0)) then |
591 |
– |
! write(*,*) tm_i(m), ' is tm_i' |
588 |
|
Phunc = coeff * tm_i(m) |
589 |
|
dPhuncdX = coeff * dtm_i(m) * dcpidx |
590 |
|
dPhuncdY = coeff * dtm_i(m) * dcpidy |
602 |
|
dPhuncdUz = coeff*(spi * dum_i(m-1)*dcpiduz + dspiduz *um_i(m-1)) |
603 |
|
endif |
604 |
|
|
605 |
< |
sigma_i = sigma_i + plm_i(l,m)*Phunc |
606 |
< |
write(*,*) plm_i(l,m), l, m |
607 |
< |
dsigmaidx = dsigmaidx + plm_i(l,m)*dPhuncdX + & |
608 |
< |
Phunc * dlm_i(l,m) * dctidx |
609 |
< |
dsigmaidy = dsigmaidy + plm_i(l,m)*dPhuncdY + & |
610 |
< |
Phunc * dlm_i(l,m) * dctidy |
611 |
< |
dsigmaidz = dsigmaidz + plm_i(l,m)*dPhuncdZ + & |
612 |
< |
Phunc * dlm_i(l,m) * dctidz |
605 |
> |
sigma_i = sigma_i + plm_i(m,l)*Phunc |
606 |
> |
|
607 |
> |
dsigmaidx = dsigmaidx + plm_i(m,l)*dPhuncdX + & |
608 |
> |
Phunc * dlm_i(m,l) * dctidx |
609 |
> |
dsigmaidy = dsigmaidy + plm_i(m,l)*dPhuncdY + & |
610 |
> |
Phunc * dlm_i(m,l) * dctidy |
611 |
> |
dsigmaidz = dsigmaidz + plm_i(m,l)*dPhuncdZ + & |
612 |
> |
Phunc * dlm_i(m,l) * dctidz |
613 |
|
|
614 |
< |
dsigmaidux = dsigmaidux + plm_i(l,m)* dPhuncdUx + & |
615 |
< |
Phunc * dlm_i(l,m) * dctidux |
616 |
< |
dsigmaiduy = dsigmaiduy + plm_i(l,m)* dPhuncdUy + & |
617 |
< |
Phunc * dlm_i(l,m) * dctiduy |
618 |
< |
dsigmaiduz = dsigmaiduz + plm_i(l,m)* dPhuncdUz + & |
619 |
< |
Phunc * dlm_i(l,m) * dctiduz |
614 |
> |
dsigmaidux = dsigmaidux + plm_i(m,l)* dPhuncdUx + & |
615 |
> |
Phunc * dlm_i(m,l) * dctidux |
616 |
> |
dsigmaiduy = dsigmaiduy + plm_i(m,l)* dPhuncdUy + & |
617 |
> |
Phunc * dlm_i(m,l) * dctiduy |
618 |
> |
dsigmaiduz = dsigmaiduz + plm_i(m,l)* dPhuncdUz + & |
619 |
> |
Phunc * dlm_i(m,l) * dctiduz |
620 |
|
|
621 |
|
end do |
622 |
|
|
644 |
|
dPhuncdUz = coeff*(spi * dum_i(m-1)*dcpiduz + dspiduz *um_i(m-1)) |
645 |
|
endif |
646 |
|
|
647 |
< |
s_i = s_i + plm_i(l,m)*Phunc |
652 |
< |
|
653 |
< |
dsidx = dsidx + plm_i(l,m)*dPhuncdX + & |
654 |
< |
Phunc * dlm_i(l,m) * dctidx |
655 |
< |
dsidy = dsidy + plm_i(l,m)*dPhuncdY + & |
656 |
< |
Phunc * dlm_i(l,m) * dctidy |
657 |
< |
dsidz = dsidz + plm_i(l,m)*dPhuncdZ + & |
658 |
< |
Phunc * dlm_i(l,m) * dctidz |
647 |
> |
s_i = s_i + plm_i(m,l)*Phunc |
648 |
|
|
649 |
< |
dsidux = dsidux + plm_i(l,m)* dPhuncdUx + & |
650 |
< |
Phunc * dlm_i(l,m) * dctidux |
651 |
< |
dsiduy = dsiduy + plm_i(l,m)* dPhuncdUy + & |
652 |
< |
Phunc * dlm_i(l,m) * dctiduy |
653 |
< |
dsiduz = dsiduz + plm_i(l,m)* dPhuncdUz + & |
654 |
< |
Phunc * dlm_i(l,m) * dctiduz |
649 |
> |
dsidx = dsidx + plm_i(m,l)*dPhuncdX + & |
650 |
> |
Phunc * dlm_i(m,l) * dctidx |
651 |
> |
dsidy = dsidy + plm_i(m,l)*dPhuncdY + & |
652 |
> |
Phunc * dlm_i(m,l) * dctidy |
653 |
> |
dsidz = dsidz + plm_i(m,l)*dPhuncdZ + & |
654 |
> |
Phunc * dlm_i(m,l) * dctidz |
655 |
> |
|
656 |
> |
dsidux = dsidux + plm_i(m,l)* dPhuncdUx + & |
657 |
> |
Phunc * dlm_i(m,l) * dctidux |
658 |
> |
dsiduy = dsiduy + plm_i(m,l)* dPhuncdUy + & |
659 |
> |
Phunc * dlm_i(m,l) * dctiduy |
660 |
> |
dsiduz = dsiduz + plm_i(m,l)* dPhuncdUz + & |
661 |
> |
Phunc * dlm_i(m,l) * dctiduz |
662 |
|
|
663 |
|
end do |
664 |
|
|
685 |
|
dPhuncdUy = coeff*(spi * dum_i(m-1)*dcpiduy + dspiduy *um_i(m-1)) |
686 |
|
dPhuncdUz = coeff*(spi * dum_i(m-1)*dcpiduz + dspiduz *um_i(m-1)) |
687 |
|
endif |
688 |
< |
!write(*,*) eps_i, plm_i(l,m), Phunc |
689 |
< |
eps_i = eps_i + plm_i(l,m)*Phunc |
688 |
> |
|
689 |
> |
eps_i = eps_i + plm_i(m,l)*Phunc |
690 |
|
|
691 |
< |
depsidx = depsidx + plm_i(l,m)*dPhuncdX + & |
692 |
< |
Phunc * dlm_i(l,m) * dctidx |
693 |
< |
depsidy = depsidy + plm_i(l,m)*dPhuncdY + & |
694 |
< |
Phunc * dlm_i(l,m) * dctidy |
695 |
< |
depsidz = depsidz + plm_i(l,m)*dPhuncdZ + & |
696 |
< |
Phunc * dlm_i(l,m) * dctidz |
691 |
> |
depsidx = depsidx + plm_i(m,l)*dPhuncdX + & |
692 |
> |
Phunc * dlm_i(m,l) * dctidx |
693 |
> |
depsidy = depsidy + plm_i(m,l)*dPhuncdY + & |
694 |
> |
Phunc * dlm_i(m,l) * dctidy |
695 |
> |
depsidz = depsidz + plm_i(m,l)*dPhuncdZ + & |
696 |
> |
Phunc * dlm_i(m,l) * dctidz |
697 |
|
|
698 |
< |
depsidux = depsidux + plm_i(l,m)* dPhuncdUx + & |
699 |
< |
Phunc * dlm_i(l,m) * dctidux |
700 |
< |
depsiduy = depsiduy + plm_i(l,m)* dPhuncdUy + & |
701 |
< |
Phunc * dlm_i(l,m) * dctiduy |
702 |
< |
depsiduz = depsiduz + plm_i(l,m)* dPhuncdUz + & |
703 |
< |
Phunc * dlm_i(l,m) * dctiduz |
698 |
> |
depsidux = depsidux + plm_i(m,l)* dPhuncdUx + & |
699 |
> |
Phunc * dlm_i(m,l) * dctidux |
700 |
> |
depsiduy = depsiduy + plm_i(m,l)* dPhuncdUy + & |
701 |
> |
Phunc * dlm_i(m,l) * dctiduy |
702 |
> |
depsiduz = depsiduz + plm_i(m,l)* dPhuncdUz + & |
703 |
> |
Phunc * dlm_i(m,l) * dctiduz |
704 |
|
|
705 |
|
end do |
706 |
|
|
781 |
|
dspjduy = xj * yj * zj / projj3 |
782 |
|
dspjduz = xj * (1.0d0 / projj - yi2 / projj3) + (xj * yj2 / projj3) |
783 |
|
|
784 |
< |
call Associated_Legendre(ctj, ShapeMap%Shapes(st2)%bigL, & |
785 |
< |
ShapeMap%Shapes(st2)%bigM, LMAX, & |
784 |
> |
call Associated_Legendre(ctj, ShapeMap%Shapes(st2)%bigM, & |
785 |
> |
ShapeMap%Shapes(st2)%bigL, LMAX, & |
786 |
|
plm_j, dlm_j) |
787 |
|
|
788 |
|
call Orthogonal_Polynomial(cpj, ShapeMap%Shapes(st2)%bigM, MMAX, & |
836 |
|
dPhuncdUz = coeff*(spj * dum_j(m-1)*dcpjduz + dspjduz *um_j(m-1)) |
837 |
|
endif |
838 |
|
|
839 |
< |
sigma_j = sigma_j + plm_j(l,m)*Phunc |
839 |
> |
sigma_j = sigma_j + plm_j(m,l)*Phunc |
840 |
|
|
841 |
< |
dsigmajdx = dsigmajdx + plm_j(l,m)*dPhuncdX + & |
842 |
< |
Phunc * dlm_j(l,m) * dctjdx |
843 |
< |
dsigmajdy = dsigmajdy + plm_j(l,m)*dPhuncdY + & |
844 |
< |
Phunc * dlm_j(l,m) * dctjdy |
845 |
< |
dsigmajdz = dsigmajdz + plm_j(l,m)*dPhuncdZ + & |
846 |
< |
Phunc * dlm_j(l,m) * dctjdz |
841 |
> |
dsigmajdx = dsigmajdx + plm_j(m,l)*dPhuncdX + & |
842 |
> |
Phunc * dlm_j(m,l) * dctjdx |
843 |
> |
dsigmajdy = dsigmajdy + plm_j(m,l)*dPhuncdY + & |
844 |
> |
Phunc * dlm_j(m,l) * dctjdy |
845 |
> |
dsigmajdz = dsigmajdz + plm_j(m,l)*dPhuncdZ + & |
846 |
> |
Phunc * dlm_j(m,l) * dctjdz |
847 |
|
|
848 |
< |
dsigmajdux = dsigmajdux + plm_j(l,m)* dPhuncdUx + & |
849 |
< |
Phunc * dlm_j(l,m) * dctjdux |
850 |
< |
dsigmajduy = dsigmajduy + plm_j(l,m)* dPhuncdUy + & |
851 |
< |
Phunc * dlm_j(l,m) * dctjduy |
852 |
< |
dsigmajduz = dsigmajduz + plm_j(l,m)* dPhuncdUz + & |
853 |
< |
Phunc * dlm_j(l,m) * dctjduz |
848 |
> |
dsigmajdux = dsigmajdux + plm_j(m,l)* dPhuncdUx + & |
849 |
> |
Phunc * dlm_j(m,l) * dctjdux |
850 |
> |
dsigmajduy = dsigmajduy + plm_j(m,l)* dPhuncdUy + & |
851 |
> |
Phunc * dlm_j(m,l) * dctjduy |
852 |
> |
dsigmajduz = dsigmajduz + plm_j(m,l)* dPhuncdUz + & |
853 |
> |
Phunc * dlm_j(m,l) * dctjduz |
854 |
|
|
855 |
|
end do |
856 |
|
|
878 |
|
dPhuncdUz = coeff*(spj * dum_j(m-1)*dcpjduz + dspjduz *um_j(m-1)) |
879 |
|
endif |
880 |
|
|
881 |
< |
s_j = s_j + plm_j(l,m)*Phunc |
881 |
> |
s_j = s_j + plm_j(m,l)*Phunc |
882 |
|
|
883 |
< |
dsjdx = dsjdx + plm_j(l,m)*dPhuncdX + & |
884 |
< |
Phunc * dlm_j(l,m) * dctjdx |
885 |
< |
dsjdy = dsjdy + plm_j(l,m)*dPhuncdY + & |
886 |
< |
Phunc * dlm_j(l,m) * dctjdy |
887 |
< |
dsjdz = dsjdz + plm_j(l,m)*dPhuncdZ + & |
888 |
< |
Phunc * dlm_j(l,m) * dctjdz |
883 |
> |
dsjdx = dsjdx + plm_j(m,l)*dPhuncdX + & |
884 |
> |
Phunc * dlm_j(m,l) * dctjdx |
885 |
> |
dsjdy = dsjdy + plm_j(m,l)*dPhuncdY + & |
886 |
> |
Phunc * dlm_j(m,l) * dctjdy |
887 |
> |
dsjdz = dsjdz + plm_j(m,l)*dPhuncdZ + & |
888 |
> |
Phunc * dlm_j(m,l) * dctjdz |
889 |
|
|
890 |
< |
dsjdux = dsjdux + plm_j(l,m)* dPhuncdUx + & |
891 |
< |
Phunc * dlm_j(l,m) * dctjdux |
892 |
< |
dsjduy = dsjduy + plm_j(l,m)* dPhuncdUy + & |
893 |
< |
Phunc * dlm_j(l,m) * dctjduy |
894 |
< |
dsjduz = dsjduz + plm_j(l,m)* dPhuncdUz + & |
895 |
< |
Phunc * dlm_j(l,m) * dctjduz |
890 |
> |
dsjdux = dsjdux + plm_j(m,l)* dPhuncdUx + & |
891 |
> |
Phunc * dlm_j(m,l) * dctjdux |
892 |
> |
dsjduy = dsjduy + plm_j(m,l)* dPhuncdUy + & |
893 |
> |
Phunc * dlm_j(m,l) * dctjduy |
894 |
> |
dsjduz = dsjduz + plm_j(m,l)* dPhuncdUz + & |
895 |
> |
Phunc * dlm_j(m,l) * dctjduz |
896 |
|
|
897 |
|
end do |
898 |
|
|
920 |
|
dPhuncdUz = coeff*(spj * dum_j(m-1)*dcpjduz + dspjduz *um_j(m-1)) |
921 |
|
endif |
922 |
|
|
923 |
< |
eps_j = eps_j + plm_j(l,m)*Phunc |
923 |
> |
eps_j = eps_j + plm_j(m,l)*Phunc |
924 |
|
|
925 |
< |
depsjdx = depsjdx + plm_j(l,m)*dPhuncdX + & |
926 |
< |
Phunc * dlm_j(l,m) * dctjdx |
927 |
< |
depsjdy = depsjdy + plm_j(l,m)*dPhuncdY + & |
928 |
< |
Phunc * dlm_j(l,m) * dctjdy |
929 |
< |
depsjdz = depsjdz + plm_j(l,m)*dPhuncdZ + & |
930 |
< |
Phunc * dlm_j(l,m) * dctjdz |
925 |
> |
depsjdx = depsjdx + plm_j(m,l)*dPhuncdX + & |
926 |
> |
Phunc * dlm_j(m,l) * dctjdx |
927 |
> |
depsjdy = depsjdy + plm_j(m,l)*dPhuncdY + & |
928 |
> |
Phunc * dlm_j(m,l) * dctjdy |
929 |
> |
depsjdz = depsjdz + plm_j(m,l)*dPhuncdZ + & |
930 |
> |
Phunc * dlm_j(m,l) * dctjdz |
931 |
|
|
932 |
< |
depsjdux = depsjdux + plm_j(l,m)* dPhuncdUx + & |
933 |
< |
Phunc * dlm_j(l,m) * dctjdux |
934 |
< |
depsjduy = depsjduy + plm_j(l,m)* dPhuncdUy + & |
935 |
< |
Phunc * dlm_j(l,m) * dctjduy |
936 |
< |
depsjduz = depsjduz + plm_j(l,m)* dPhuncdUz + & |
937 |
< |
Phunc * dlm_j(l,m) * dctjduz |
932 |
> |
depsjdux = depsjdux + plm_j(m,l)* dPhuncdUx + & |
933 |
> |
Phunc * dlm_j(m,l) * dctjdux |
934 |
> |
depsjduy = depsjduy + plm_j(m,l)* dPhuncdUy + & |
935 |
> |
Phunc * dlm_j(m,l) * dctjduy |
936 |
> |
depsjduz = depsjduz + plm_j(m,l)* dPhuncdUz + & |
937 |
> |
Phunc * dlm_j(m,l) * dctjduz |
938 |
|
|
939 |
|
end do |
940 |
|
|
973 |
|
dsduxj = 0.5*dsjdux |
974 |
|
dsduyj = 0.5*dsjduy |
975 |
|
dsduzj = 0.5*dsjduz |
976 |
< |
!write(*,*) eps_i, eps_j |
976 |
> |
|
977 |
|
eps = sqrt(eps_i * eps_j) |
978 |
|
|
979 |
|
depsdxi = eps_j * depsidx / (2.0d0 * eps) |
1307 |
|
DY0 = DY1 |
1308 |
|
DY1 = DYN |
1309 |
|
end DO |
1310 |
+ |
|
1311 |
+ |
|
1312 |
|
RETURN |
1313 |
|
|
1314 |
|
end subroutine Orthogonal_Polynomial |