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This commit is contained in:
Martin Diehl 2019-06-11 14:29:10 +02:00
parent f2be94ed5f
commit 82ab1f5e10
1 changed files with 55 additions and 35 deletions
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src/mesh/FEM_zoo.f90
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@ -20,9 +20,9 @@ module FEM_Zoo
-1.0_pReal, 1.0_pReal, -1.0_pReal, & -1.0_pReal, 1.0_pReal, -1.0_pReal, &
-1.0_pReal, -1.0_pReal, 1.0_pReal], shape=[3,4]) -1.0_pReal, -1.0_pReal, 1.0_pReal], shape=[3,4])
integer, dimension(1:3,maxOrder), public, protected :: & integer, dimension(2:3,maxOrder), public, protected :: &
FEM_Zoo_nQuadrature !< number of quadrature points for a given spatial dimension(1-3) and interpolation order(1-maxOrder) FEM_Zoo_nQuadrature !< number of quadrature points for a given spatial dimension(2-3) and interpolation order(1-maxOrder)
type(group_float), dimension(1:3,maxOrder), public, protected :: & type(group_float), dimension(2:3,maxOrder), public, protected :: &
FEM_Zoo_QuadratureWeights, & !< quadrature weights for each quadrature rule FEM_Zoo_QuadratureWeights, & !< quadrature weights for each quadrature rule
FEM_Zoo_QuadraturePoints !< quadrature point coordinates (in simplical system) for each quadrature rule FEM_Zoo_QuadraturePoints !< quadrature point coordinates (in simplical system) for each quadrature rule
@ -42,117 +42,137 @@ subroutine FEM_Zoo_init
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! 2D linear ! 2D linear
FEM_Zoo_nQuadrature(2,1) = 1 FEM_Zoo_nQuadrature(2,1) = 1
allocate(FEM_Zoo_QuadratureWeights(2,1)%p(1)) allocate(FEM_Zoo_QuadratureWeights(2,1)%p(1))
allocate(FEM_Zoo_QuadraturePoints (2,1)%p(2))
FEM_Zoo_QuadratureWeights(2,1)%p(1) = 1.0_pReal FEM_Zoo_QuadratureWeights(2,1)%p(1) = 1.0_pReal
allocate(FEM_Zoo_QuadraturePoints (2,1)%p(2))
FEM_Zoo_QuadraturePoints (2,1)%p(1:2) = FEM_Zoo_permutationStar3([1.0_pReal/3.0_pReal]) FEM_Zoo_QuadraturePoints (2,1)%p(1:2) = FEM_Zoo_permutationStar3([1.0_pReal/3.0_pReal])
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! 2D quadratic ! 2D quadratic
FEM_Zoo_nQuadrature(2,2) = 3 FEM_Zoo_nQuadrature(2,2) = 3
allocate(FEM_Zoo_QuadratureWeights(2,2)%p(3)) allocate(FEM_Zoo_QuadratureWeights(2,2)%p(3))
allocate(FEM_Zoo_QuadraturePoints (2,2)%p(6))
FEM_Zoo_QuadratureWeights(2,2)%p(1:3) = 1.0_pReal/3.0_pReal FEM_Zoo_QuadratureWeights(2,2)%p(1:3) = 1.0_pReal/3.0_pReal
allocate(FEM_Zoo_QuadraturePoints (2,2)%p(6))
FEM_Zoo_QuadraturePoints (2,2)%p(1:6) = FEM_Zoo_permutationStar21([1.0_pReal/6.0_pReal]) FEM_Zoo_QuadraturePoints (2,2)%p(1:6) = FEM_Zoo_permutationStar21([1.0_pReal/6.0_pReal])
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! 2D cubic ! 2D cubic
FEM_Zoo_nQuadrature(2,3) = 6 FEM_Zoo_nQuadrature(2,3) = 6
allocate(FEM_Zoo_QuadratureWeights(2,3)%p(6 ))
allocate(FEM_Zoo_QuadraturePoints (2,3)%p(12)) allocate(FEM_Zoo_QuadratureWeights(2,3)%p(6))
FEM_Zoo_QuadratureWeights(2,3)%p(1:3) = 0.22338158967801146570_pReal FEM_Zoo_QuadratureWeights(2,3)%p(1:3) = 0.22338158967801146570_pReal
FEM_Zoo_QuadraturePoints (2,3)%p(1:6) = FEM_Zoo_permutationStar21([0.44594849091596488632_pReal])
FEM_Zoo_QuadratureWeights(2,3)%p(4:6) = 0.10995174365532186764_pReal FEM_Zoo_QuadratureWeights(2,3)%p(4:6) = 0.10995174365532186764_pReal
allocate(FEM_Zoo_QuadraturePoints (2,3)%p(12))
FEM_Zoo_QuadraturePoints (2,3)%p(1:6) = FEM_Zoo_permutationStar21([0.44594849091596488632_pReal])
FEM_Zoo_QuadraturePoints (2,3)%p(7:12)= FEM_Zoo_permutationStar21([0.091576213509770743460_pReal]) FEM_Zoo_QuadraturePoints (2,3)%p(7:12)= FEM_Zoo_permutationStar21([0.091576213509770743460_pReal])
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! 2D quartic ! 2D quartic
FEM_Zoo_nQuadrature(2,4) = 12 FEM_Zoo_nQuadrature(2,4) = 12
allocate(FEM_Zoo_QuadratureWeights(2,4)%p(12)) allocate(FEM_Zoo_QuadratureWeights(2,4)%p(12))
allocate(FEM_Zoo_QuadraturePoints (2,4)%p(24))
FEM_Zoo_QuadratureWeights(2,4)%p(1:3) = 0.11678627572638_pReal FEM_Zoo_QuadratureWeights(2,4)%p(1:3) = 0.11678627572638_pReal
FEM_Zoo_QuadraturePoints (2,4)%p(1:6) = FEM_Zoo_permutationStar21([0.24928674517091_pReal])
FEM_Zoo_QuadratureWeights(2,4)%p(4:6) = 0.05084490637021_pReal FEM_Zoo_QuadratureWeights(2,4)%p(4:6) = 0.05084490637021_pReal
FEM_Zoo_QuadraturePoints (2,4)%p(7:12) = FEM_Zoo_permutationStar21([0.06308901449150_pReal])
FEM_Zoo_QuadratureWeights(2,4)%p(7:12) = 0.08285107561837_pReal FEM_Zoo_QuadratureWeights(2,4)%p(7:12) = 0.08285107561837_pReal
allocate(FEM_Zoo_QuadraturePoints (2,4)%p(24))
FEM_Zoo_QuadraturePoints (2,4)%p(1:6) = FEM_Zoo_permutationStar21([0.24928674517091_pReal])
FEM_Zoo_QuadraturePoints (2,4)%p(7:12) = FEM_Zoo_permutationStar21([0.06308901449150_pReal])
FEM_Zoo_QuadraturePoints (2,4)%p(13:24)= FEM_Zoo_permutationStar111([0.31035245103378_pReal, 0.63650249912140_pReal]) FEM_Zoo_QuadraturePoints (2,4)%p(13:24)= FEM_Zoo_permutationStar111([0.31035245103378_pReal, 0.63650249912140_pReal])
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! 2D order 5 ! 2D order 5
FEM_Zoo_nQuadrature(2,5) = 16 FEM_Zoo_nQuadrature(2,5) = 16
allocate(FEM_Zoo_QuadratureWeights(2,5)%p(16)) allocate(FEM_Zoo_QuadratureWeights(2,5)%p(16))
allocate(FEM_Zoo_QuadraturePoints (2,5)%p(32))
FEM_Zoo_QuadratureWeights(2,5)%p(1 ) = 0.14431560767779_pReal FEM_Zoo_QuadratureWeights(2,5)%p(1 ) = 0.14431560767779_pReal
FEM_Zoo_QuadraturePoints (2,5)%p(1:2) = FEM_Zoo_permutationStar3([0.33333333333333_pReal])
FEM_Zoo_QuadratureWeights(2,5)%p(2:4) = 0.09509163426728_pReal FEM_Zoo_QuadratureWeights(2,5)%p(2:4) = 0.09509163426728_pReal
FEM_Zoo_QuadraturePoints (2,5)%p(3:8) = FEM_Zoo_permutationStar21([0.45929258829272_pReal])
FEM_Zoo_QuadratureWeights(2,5)%p(5:7) = 0.10321737053472_pReal FEM_Zoo_QuadratureWeights(2,5)%p(5:7) = 0.10321737053472_pReal
FEM_Zoo_QuadraturePoints (2,5)%p(9:14) = FEM_Zoo_permutationStar21([0.17056930775176_pReal])
FEM_Zoo_QuadratureWeights(2,5)%p(8:10) = 0.03245849762320_pReal FEM_Zoo_QuadratureWeights(2,5)%p(8:10) = 0.03245849762320_pReal
FEM_Zoo_QuadraturePoints (2,5)%p(15:20)= FEM_Zoo_permutationStar21([0.05054722831703_pReal])
FEM_Zoo_QuadratureWeights(2,5)%p(11:16)= 0.02723031417443_pReal FEM_Zoo_QuadratureWeights(2,5)%p(11:16)= 0.02723031417443_pReal
allocate(FEM_Zoo_QuadraturePoints (2,5)%p(32))
FEM_Zoo_QuadraturePoints (2,5)%p(1:2) = FEM_Zoo_permutationStar3([0.33333333333333_pReal])
FEM_Zoo_QuadraturePoints (2,5)%p(3:8) = FEM_Zoo_permutationStar21([0.45929258829272_pReal])
FEM_Zoo_QuadraturePoints (2,5)%p(9:14) = FEM_Zoo_permutationStar21([0.17056930775176_pReal])
FEM_Zoo_QuadraturePoints (2,5)%p(15:20)= FEM_Zoo_permutationStar21([0.05054722831703_pReal])
FEM_Zoo_QuadraturePoints (2,5)%p(21:32)=FEM_Zoo_permutationStar111([0.26311282963464_pReal, 0.72849239295540_pReal]) FEM_Zoo_QuadraturePoints (2,5)%p(21:32)=FEM_Zoo_permutationStar111([0.26311282963464_pReal, 0.72849239295540_pReal])
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! 3D linear ! 3D linear
FEM_Zoo_nQuadrature(3,1) = 1 FEM_Zoo_nQuadrature(3,1) = 1
allocate(FEM_Zoo_QuadratureWeights(3,1)%p(1)) allocate(FEM_Zoo_QuadratureWeights(3,1)%p(1))
allocate(FEM_Zoo_QuadraturePoints (3,1)%p(3))
FEM_Zoo_QuadratureWeights(3,1)%p(1) = 1.0_pReal FEM_Zoo_QuadratureWeights(3,1)%p(1) = 1.0_pReal
allocate(FEM_Zoo_QuadraturePoints (3,1)%p(3))
FEM_Zoo_QuadraturePoints (3,1)%p(1:3)= FEM_Zoo_permutationStar4([0.25_pReal]) FEM_Zoo_QuadraturePoints (3,1)%p(1:3)= FEM_Zoo_permutationStar4([0.25_pReal])
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! 3D quadratic ! 3D quadratic
FEM_Zoo_nQuadrature(3,2) = 4 FEM_Zoo_nQuadrature(3,2) = 4
allocate(FEM_Zoo_QuadratureWeights(3,2)%p(4 ))
allocate(FEM_Zoo_QuadraturePoints (3,2)%p(12)) allocate(FEM_Zoo_QuadratureWeights(3,2)%p(4))
FEM_Zoo_QuadratureWeights(3,2)%p(1:4) = 0.25_pReal FEM_Zoo_QuadratureWeights(3,2)%p(1:4) = 0.25_pReal
allocate(FEM_Zoo_QuadraturePoints (3,2)%p(12))
FEM_Zoo_QuadraturePoints (3,2)%p(1:12)= FEM_Zoo_permutationStar31([0.13819660112501051518_pReal]) FEM_Zoo_QuadraturePoints (3,2)%p(1:12)= FEM_Zoo_permutationStar31([0.13819660112501051518_pReal])
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! 3D cubic ! 3D cubic
FEM_Zoo_nQuadrature(3,3) = 14 FEM_Zoo_nQuadrature(3,3) = 14
allocate(FEM_Zoo_QuadratureWeights(3,3)%p(14)) allocate(FEM_Zoo_QuadratureWeights(3,3)%p(14))
allocate(FEM_Zoo_QuadraturePoints (3,3)%p(42))
FEM_Zoo_QuadratureWeights(3,3)%p(1:4) = 0.073493043116361949544_pReal
FEM_Zoo_QuadraturePoints (3,3)%p(1:12) = FEM_Zoo_permutationStar31([0.092735250310891226402_pReal])
FEM_Zoo_QuadratureWeights(3,3)%p(5:8) = 0.11268792571801585080_pReal FEM_Zoo_QuadratureWeights(3,3)%p(5:8) = 0.11268792571801585080_pReal
FEM_Zoo_QuadraturePoints (3,3)%p(13:24)= FEM_Zoo_permutationStar31([0.31088591926330060980_pReal]) FEM_Zoo_QuadratureWeights(3,3)%p(1:4) = 0.073493043116361949544_pReal
FEM_Zoo_QuadratureWeights(3,3)%p(9:14) = 0.042546020777081466438_pReal FEM_Zoo_QuadratureWeights(3,3)%p(9:14) = 0.042546020777081466438_pReal
allocate(FEM_Zoo_QuadraturePoints (3,3)%p(42))
FEM_Zoo_QuadraturePoints (3,3)%p(1:12) = FEM_Zoo_permutationStar31([0.092735250310891226402_pReal])
FEM_Zoo_QuadraturePoints (3,3)%p(13:24)= FEM_Zoo_permutationStar31([0.31088591926330060980_pReal])
FEM_Zoo_QuadraturePoints (3,3)%p(25:42)= FEM_Zoo_permutationStar22([0.045503704125649649492_pReal]) FEM_Zoo_QuadraturePoints (3,3)%p(25:42)= FEM_Zoo_permutationStar22([0.045503704125649649492_pReal])
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! 3D quartic ! 3D quartic
FEM_Zoo_nQuadrature(3,4) = 35 FEM_Zoo_nQuadrature(3,4) = 35
allocate(FEM_Zoo_QuadratureWeights(3,4)%p(35)) allocate(FEM_Zoo_QuadratureWeights(3,4)%p(35))
allocate(FEM_Zoo_QuadraturePoints (3,4)%p(105))
FEM_Zoo_QuadratureWeights(3,4)%p(1:4) = 0.0021900463965388_pReal FEM_Zoo_QuadratureWeights(3,4)%p(1:4) = 0.0021900463965388_pReal
FEM_Zoo_QuadraturePoints (3,4)%p(1:12) = FEM_Zoo_permutationStar31([0.0267367755543735_pReal])
FEM_Zoo_QuadratureWeights(3,4)%p(5:16) = 0.0143395670177665_pReal FEM_Zoo_QuadratureWeights(3,4)%p(5:16) = 0.0143395670177665_pReal
FEM_Zoo_QuadraturePoints (3,4)%p(13:48) = FEM_Zoo_permutationStar211([0.0391022406356488_pReal, 0.7477598884818090_pReal])
FEM_Zoo_QuadratureWeights(3,4)%p(17:22) = 0.0250305395686746_pReal FEM_Zoo_QuadratureWeights(3,4)%p(17:22) = 0.0250305395686746_pReal
FEM_Zoo_QuadraturePoints (3,4)%p(49:66) = FEM_Zoo_permutationStar22([0.4547545999844830_pReal])
FEM_Zoo_QuadratureWeights(3,4)%p(23:34) = 0.0479839333057554_pReal FEM_Zoo_QuadratureWeights(3,4)%p(23:34) = 0.0479839333057554_pReal
FEM_Zoo_QuadraturePoints (3,4)%p(67:102) = FEM_Zoo_permutationStar211([0.2232010379623150_pReal, 0.0504792790607720_pReal])
FEM_Zoo_QuadratureWeights(3,4)%p(35) = 0.0931745731195340_pReal FEM_Zoo_QuadratureWeights(3,4)%p(35) = 0.0931745731195340_pReal
allocate(FEM_Zoo_QuadraturePoints (3,4)%p(105))
FEM_Zoo_QuadraturePoints (3,4)%p(1:12) = FEM_Zoo_permutationStar31([0.0267367755543735_pReal])
FEM_Zoo_QuadraturePoints (3,4)%p(13:48) = FEM_Zoo_permutationStar211([0.0391022406356488_pReal, 0.7477598884818090_pReal])
FEM_Zoo_QuadraturePoints (3,4)%p(49:66) = FEM_Zoo_permutationStar22([0.4547545999844830_pReal])
FEM_Zoo_QuadraturePoints (3,4)%p(67:102) = FEM_Zoo_permutationStar211([0.2232010379623150_pReal, 0.0504792790607720_pReal])
FEM_Zoo_QuadraturePoints (3,4)%p(103:105)= FEM_Zoo_permutationStar4([0.25_pReal]) FEM_Zoo_QuadraturePoints (3,4)%p(103:105)= FEM_Zoo_permutationStar4([0.25_pReal])
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! 3D quintic ! 3D quintic
FEM_Zoo_nQuadrature(3,5) = 56 FEM_Zoo_nQuadrature(3,5) = 56
allocate(FEM_Zoo_QuadratureWeights(3,5)%p(56)) allocate(FEM_Zoo_QuadratureWeights(3,5)%p(56))
allocate(FEM_Zoo_QuadraturePoints (3,5)%p(168))
FEM_Zoo_QuadratureWeights(3,5)%p(1:4) = 0.0010373112336140_pReal FEM_Zoo_QuadratureWeights(3,5)%p(1:4) = 0.0010373112336140_pReal
FEM_Zoo_QuadraturePoints (3,5)%p(1:12) = FEM_Zoo_permutationStar31([0.0149520651530592_pReal])
FEM_Zoo_QuadratureWeights(3,5)%p(5:16) = 0.0096016645399480_pReal FEM_Zoo_QuadratureWeights(3,5)%p(5:16) = 0.0096016645399480_pReal
FEM_Zoo_QuadraturePoints (3,5)%p(13:48) = FEM_Zoo_permutationStar211([0.0340960211962615_pReal, 0.1518319491659370_pReal])
FEM_Zoo_QuadratureWeights(3,5)%p(17:28) = 0.0164493976798232_pReal FEM_Zoo_QuadratureWeights(3,5)%p(17:28) = 0.0164493976798232_pReal
FEM_Zoo_QuadraturePoints (3,5)%p(49:84) = FEM_Zoo_permutationStar211([0.0462051504150017_pReal, 0.3549340560639790_pReal])
FEM_Zoo_QuadratureWeights(3,5)%p(29:40) = 0.0153747766513310_pReal FEM_Zoo_QuadratureWeights(3,5)%p(29:40) = 0.0153747766513310_pReal
FEM_Zoo_QuadraturePoints (3,5)%p(85:120) = FEM_Zoo_permutationStar211([0.2281904610687610_pReal, 0.0055147549744775_pReal])
FEM_Zoo_QuadratureWeights(3,5)%p(41:52) = 0.0293520118375230_pReal FEM_Zoo_QuadratureWeights(3,5)%p(41:52) = 0.0293520118375230_pReal
FEM_Zoo_QuadraturePoints (3,5)%p(121:156)= FEM_Zoo_permutationStar211([0.3523052600879940_pReal, 0.0992057202494530_pReal])
FEM_Zoo_QuadratureWeights(3,5)%p(53:56) = 0.0366291366405108_pReal FEM_Zoo_QuadratureWeights(3,5)%p(53:56) = 0.0366291366405108_pReal
allocate(FEM_Zoo_QuadraturePoints (3,5)%p(168))
FEM_Zoo_QuadraturePoints (3,5)%p(1:12) = FEM_Zoo_permutationStar31([0.0149520651530592_pReal])
FEM_Zoo_QuadraturePoints (3,5)%p(13:48) = FEM_Zoo_permutationStar211([0.0340960211962615_pReal, 0.1518319491659370_pReal])
FEM_Zoo_QuadraturePoints (3,5)%p(49:84) = FEM_Zoo_permutationStar211([0.0462051504150017_pReal, 0.3549340560639790_pReal])
FEM_Zoo_QuadraturePoints (3,5)%p(85:120) = FEM_Zoo_permutationStar211([0.2281904610687610_pReal, 0.0055147549744775_pReal])
FEM_Zoo_QuadraturePoints (3,5)%p(121:156)= FEM_Zoo_permutationStar211([0.3523052600879940_pReal, 0.0992057202494530_pReal])
FEM_Zoo_QuadraturePoints (3,5)%p(157:168)= FEM_Zoo_permutationStar31([0.1344783347929940_pReal]) FEM_Zoo_QuadraturePoints (3,5)%p(157:168)= FEM_Zoo_permutationStar31([0.1344783347929940_pReal])
end subroutine FEM_Zoo_init end subroutine FEM_Zoo_init