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784#include "implicit_f.inc"
785
786
787
788#include "mvsiz_p.inc"
789
790
791
792 INTEGER LLT
793
795 . dxdr(mvsiz), dydr(mvsiz), dzdr(mvsiz),
796 . dxdt(mvsiz), dydt(mvsiz), dzdt(mvsiz),
797 . drdx(mvsiz), dsdx(mvsiz), dtdx(mvsiz),
798 . drdy(mvsiz), dsdy(mvsiz), dtdy(mvsiz),
799 . drdz(mvsiz), dsdz(mvsiz), dtdz(mvsiz),
800 . xx(mvsiz,9) ,yy(mvsiz,9),zz(mvsiz,9),
801 . ni(mvsiz,9) ,rr(mvsiz) ,ss(mvsiz) ,tt(mvsiz)
802
803
804
805 INTEGER I,N
807 . dxds(mvsiz), dyds(mvsiz), dzds(mvsiz),
808 . dnidr(8),dnids(8),dnidt(8),
809 . d, aa, bb, det(mvsiz),r9 ,r13 ,s9 ,s10 ,s11 ,s12 ,t10 ,t14
811 . u_m_r,u_p_r,u_m_s,u_p_s,u_m_t,u_p_t,
812 . ums_umt,ums_upt,ups_umt,ups_upt,
813 . umr_ums,umr_ups,upr_ums,upr_ups,
814 . umt_umr,umt_upr,upt_umr,upt_upr,
815 . a,r05,s05,t05
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878 DO i=1,llt
879 r05 = half*rr(i)
880 s05 = half*ss(i)
881 t05 = half*tt(i)
882
883 u_m_r = half - r05
884 u_p_r = half + r05
885
886 u_m_s = half - s05
887 u_p_s = half + s05
888
889 u_m_t = half - t05
890 u_p_t = half + t05
891
892 ums_umt = u_m_s * u_m_t
893 ums_upt = u_m_s * u_p_t
894 ups_umt = u_p_s * u_m_t
895 ups_upt = u_p_s * u_p_t
896
897 ni(i,1) = u_m_r * ums_umt
898 ni(i,5) = u_m_r * ups_umt
899 ni(i,2) = u_m_r * ums_upt
900 ni(i,6) = u_m_r * ups_upt
901 ni(i,3) = u_p_r * ums_upt
902 ni(i,7) = u_p_r * ups_upt
903 ni(i,4) = u_p_r * ums_umt
904 ni(i,8) = u_p_r * ups_umt
905
906 a = half
907 dnidr(1) = -ums_umt * a
908 dnidr(2) = -ums_upt * a
909 dnidr(3) = -dnidr(2)
910 dnidr(4) = -dnidr(1)
911 dnidr(5) = -ups_umt * a
912 dnidr(6) = -ups_upt * a
913 dnidr(7) = -dnidr(6)
914 dnidr(8) = -dnidr(5)
915
916 dnids(1) = -u_m_t * u_m_r * a
917 dnids(2) = -u_p_t * u_m_r * a
918 dnids(3) = -u_p_t * u_p_r * a
919 dnids(4) = -u_m_t * u_p_r * a
920 dnids(5) = -dnids(1)
921 dnids(6) = -dnids(2)
922 dnids(7) = -dnids(3)
923 dnids(8) = -dnids(4)
924
925 dnidt(1) = -u_m_r * u_m_s * a
926 dnidt(2) = -dnidt(1)
927 dnidt(3) = u_p_r * u_m_s * a
928 dnidt(4) = -dnidt(3)
929 dnidt(5) = -u_m_r * u_p_s * a
930 dnidt(6) = -dnidt(5)
931 dnidt(7) = u_p_r * u_p_s * a
932 dnidt(8) = -dnidt(7)
933
934 ni(i,9) = -one
935
936
937
938
939 dxdr(i) = dnidr(1)*xx(i,1) + dnidr(2)*xx(i,2) + dnidr(3)*xx(i,3)
940 + + dnidr(4)*xx(i,4) + dnidr(5)*xx(i,5) + dnidr(6)*xx(i,6)
941 + + dnidr(7)*xx(i,7) + dnidr(8)*xx(i,8)
942
943 dxds(i) = dnids(1)*xx(i,1) + dnids(2)*xx(i,2) + dnids(3)*xx(i,3)
944 + + dnids(4)*xx(i,4) + dnids(5)*xx(i,5) + dnids(6)*xx(i,6)
945 + + dnids(7)*xx(i,7) + dnids(8)*xx(i,8)
946
947 dxdt(i) = dnidt(1)*xx(i,1) + dnidt(2)*xx(i,2) + dnidt(3)*xx(i,3)
948 + + dnidt(4)*xx(i,4) + dnidt(5)*xx(i,5) + dnidt(6)*xx(i,6)
949 + + dnidt(7)*xx(i,7) + dnidt(8)*xx(i,8)
950
951
952
953 dydr(i) = dnidr(1)*yy(i,1) + dnidr(2)*yy(i,2) + dnidr(3)*yy(i,3)
954 + + dnidr(4)*yy(i,4) + dnidr(5)*yy(i,5) + dnidr(6)*yy(i,6)
955 + + dnidr(7)*yy(i,7) + dnidr(8)*yy(i,8)
956
957 dyds(i) = dnids(1)*yy(i,1) + dnids(2)*yy(i,2) + dnids(3)*yy(i,3)
958 + + dnids(4)*yy(i,4) + dnids(5)*yy(i,5) + dnids(6)*yy(i,6)
959 + + dnids(7)*yy(i,7) + dnids(8)*yy(i,8)
960
961 dydt(i) = dnidt(1)*yy(i,1) + dnidt(2)*yy(i,2) + dnidt(3)*yy(i,3)
962 + + dnidt(4)*yy(i,4) + dnidt(5)*yy(i,5) + dnidt(6)*yy(i,6)
963 + + dnidt(7)*yy(i,7) + dnidt(8)*yy(i,8)
964
965
966
967 dzdr(i) = dnidr(1)*zz(i,1) + dnidr(2)*zz(i,2) + dnidr(3)*zz(i,3)
968 + + dnidr(4)*zz(i,4) + dnidr(5)*zz(i,5) + dnidr(6)*zz(i,6)
969 + + dnidr(7)*zz(i,7) + dnidr(8)*zz(i,8)
970
971 dzds(i) = dnids(1)*zz(i,1) + dnids(2)*zz(i,2) + dnids(3)*zz(i,3)
972 + + dnids(4)*zz(i,4) + dnids(5)*zz(i,5) + dnids(6)*zz(i,6)
973 + + dnids(7)*zz(i,7) + dnids(8)*zz(i,8)
974
975 dzdt(i) = dnidt(1)*zz(i,1) + dnidt(2)*zz(i,2) + dnidt(3)*zz(i,3)
976 + + dnidt(4)*zz(i,4) + dnidt(5)*zz(i,5) + dnidt(6)*zz(i,6)
977 + + dnidt(7)*zz(i,7) + dnidt(8)*zz(i,8)
978
979
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981
982 drdx(i)=dyds(i)*dzdt(i)-dzds(i)*dydt(i)
983 drdy(i)=dzds(i)*dxdt(i)-dxds(i)*dzdt(i)
984 drdz(i)=dxds(i)*dydt(i)-dyds(i)*dxdt(i)
985
986 dsdz(i)=dxdt(i)*dydr(i)-dydt(i)*dxdr(i)
987 dsdy(i)=dzdt(i)*dxdr(i)-dxdt(i)*dzdr(i)
988 dsdx(i)=dydt(i)*dzdr(i)-dzdt(i)*dydr(i)
989
990 dtdx(i)=dydr(i)*dzds(i)-dzdr(i)*dyds(i)
991 dtdy(i)=dzdr(i)*dxds(i)-dxdr(i)*dzds(i)
992 dtdz(i)=dxdr(i)*dyds(i)-dydr(i)*dxds(i)
993
994 det(i) = dxdr(i) * drdx(i)
995 . + dydr(i) * drdy(i)
996 . + dzdr(i) * drdz(i)
997
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1003
1004 ENDDO
1005
1006 DO i=1,llt
1007
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1009
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1011 d = one/det(i)
1012 drdx(i)=d*drdx(i)
1013 dsdx(i)=d*dsdx(i)
1014 dtdx(i)=d*dtdx(i)
1015
1016 drdy(i)=d*drdy(i)
1017 dsdy(i)=d*dsdy(i)
1018 dtdy(i)=d*dtdy(i)
1019
1020 drdz(i)=d*drdz(i)
1021 dsdz(i)=d*dsdz(i)
1022 dtdz(i)=d*dtdz(i)
1023
1024
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1029 ENDDO
1030
1031 RETURN