diff --git a/src/mesh/FEM_quadrature.f90 b/src/mesh/FEM_quadrature.f90 index 2498e3947..e76e9849f 100644 --- a/src/mesh/FEM_quadrature.f90 +++ b/src/mesh/FEM_quadrature.f90 @@ -9,7 +9,7 @@ module FEM_quadrature private integer, parameter :: & - maxOrder = 5 !< current max interpolation set at cubic (intended to be arbitrary) + maxOrder = 5 !< maximum integration order real(pReal), dimension(2,3), parameter :: & triangle = reshape([-1.0_pReal, -1.0_pReal, & 1.0_pReal, -1.0_pReal, & @@ -21,7 +21,7 @@ module FEM_quadrature -1.0_pReal, -1.0_pReal, 1.0_pReal], shape=[3,4]) type :: group_float !< variable length datatype used for storage of state - real(pReal), dimension(:), pointer :: p + real(pReal), dimension(:), allocatable :: p end type group_float integer, dimension(2:3,maxOrder), public, protected :: & @@ -53,8 +53,7 @@ subroutine FEM_quadrature_init() allocate(FEM_quadrature_weights(2,1)%p(FEM_nQuadrature(2,1))) FEM_quadrature_weights(2,1)%p(1) = 1._pReal - allocate(FEM_quadrature_points (2,1)%p(2)) - FEM_quadrature_points (2,1)%p(1:2) = permutationStar3([1._pReal/3._pReal]) + FEM_quadrature_points (2,1)%p = permutationStar3([1._pReal/3._pReal]) !-------------------------------------------------------------------------------------------------- ! 2D quadratic @@ -63,8 +62,7 @@ subroutine FEM_quadrature_init() allocate(FEM_quadrature_weights(2,2)%p(FEM_nQuadrature(2,2))) FEM_quadrature_weights(2,2)%p(1:3) = 1._pReal/3._pReal - allocate(FEM_quadrature_points (2,2)%p(6)) - FEM_quadrature_points (2,2)%p(1:6) = permutationStar21([1._pReal/6._pReal]) + FEM_quadrature_points (2,2)%p = permutationStar21([1._pReal/6._pReal]) !-------------------------------------------------------------------------------------------------- ! 2D cubic @@ -74,9 +72,9 @@ subroutine FEM_quadrature_init() FEM_quadrature_weights(2,3)%p(1:3) = 2.2338158967801147e-1_pReal FEM_quadrature_weights(2,3)%p(4:6) = 1.0995174365532187e-1_pReal - allocate(FEM_quadrature_points (2,3)%p(12)) - FEM_quadrature_points (2,3)%p(1:6) = permutationStar21([4.4594849091596489e-1_pReal]) - FEM_quadrature_points (2,3)%p(7:12)= permutationStar21([9.157621350977074e-2_pReal]) + FEM_quadrature_points (2,3)%p = [ & + permutationStar21([4.4594849091596489e-1_pReal]), & + permutationStar21([9.157621350977074e-2_pReal]) ] !-------------------------------------------------------------------------------------------------- ! 2D quartic @@ -87,10 +85,10 @@ subroutine FEM_quadrature_init() FEM_quadrature_weights(2,4)%p(4:6) = 5.0844906370206817e-2_pReal FEM_quadrature_weights(2,4)%p(7:12) = 8.285107561837358e-2_pReal - allocate(FEM_quadrature_points (2,4)%p(24)) - FEM_quadrature_points (2,4)%p(1:6) = permutationStar21([2.4928674517091042e-1_pReal]) - FEM_quadrature_points (2,4)%p(7:12) = permutationStar21([6.308901449150223e-2_pReal]) - FEM_quadrature_points (2,4)%p(13:24)= permutationStar111([3.1035245103378440e-1_pReal, 5.3145049844816947e-2_pReal]) + FEM_quadrature_points (2,4)%p = [ & + permutationStar21([2.4928674517091042e-1_pReal]), & + permutationStar21([6.308901449150223e-2_pReal]), & + permutationStar111([3.1035245103378440e-1_pReal, 5.3145049844816947e-2_pReal]) ] !-------------------------------------------------------------------------------------------------- ! 2D quintic @@ -103,22 +101,21 @@ subroutine FEM_quadrature_init() FEM_quadrature_weights(2,5)%p(8:10) = 3.2458497623198080e-2_pReal FEM_quadrature_weights(2,5)%p(11:16)= 2.7230314174434994e-2_pReal - allocate(FEM_quadrature_points (2,5)%p(32)) - FEM_quadrature_points (2,5)%p(1:2) = permutationStar3([1._pReal/3._pReal]) - FEM_quadrature_points (2,5)%p(3:8) = permutationStar21([4.5929258829272316e-1_pReal]) - FEM_quadrature_points (2,5)%p(9:14) = permutationStar21([1.705693077517602e-1_pReal]) - FEM_quadrature_points (2,5)%p(15:20)= permutationStar21([5.0547228317030975e-2_pReal]) - FEM_quadrature_points (2,5)%p(21:32)= permutationStar111([2.631128296346381e-1_pReal, 8.3947774099576053e-2_pReal]) + FEM_quadrature_points (2,5)%p = [ & + permutationStar3([1._pReal/3._pReal]), & + permutationStar21([4.5929258829272316e-1_pReal]), & + permutationStar21([1.705693077517602e-1_pReal]), & + permutationStar21([5.0547228317030975e-2_pReal]), & + permutationStar111([2.631128296346381e-1_pReal, 8.3947774099576053e-2_pReal]) ] !-------------------------------------------------------------------------------------------------- ! 3D linear FEM_nQuadrature(3,1) = 1 allocate(FEM_quadrature_weights(3,1)%p(FEM_nQuadrature(3,1))) - FEM_quadrature_weights(3,1)%p(1) = 1.0_pReal + FEM_quadrature_weights(3,1)%p(1) = 1.0_pReal - allocate(FEM_quadrature_points (3,1)%p(3)) - FEM_quadrature_points (3,1)%p(1:3)= permutationStar4([0.25_pReal]) + FEM_quadrature_points (3,1)%p = permutationStar4([0.25_pReal]) !-------------------------------------------------------------------------------------------------- ! 3D quadratic @@ -127,60 +124,59 @@ subroutine FEM_quadrature_init() allocate(FEM_quadrature_weights(3,2)%p(FEM_nQuadrature(3,2))) FEM_quadrature_weights(3,2)%p(1:4) = 0.25_pReal - allocate(FEM_quadrature_points (3,2)%p(12)) - FEM_quadrature_points (3,2)%p(1:12)= permutationStar31([0.1381966011250105_pReal]) + FEM_quadrature_points (3,2)%p = permutationStar31([0.1381966011250105_pReal]) !-------------------------------------------------------------------------------------------------- ! 3D cubic FEM_nQuadrature(3,3) = 14 allocate(FEM_quadrature_weights(3,3)%p(FEM_nQuadrature(3,3))) - FEM_quadrature_weights(3,3)%p(5:8) = 1.1268792571801585e-1_pReal FEM_quadrature_weights(3,3)%p(1:4) = 7.3493043116361949e-2_pReal + FEM_quadrature_weights(3,3)%p(5:8) = 1.1268792571801585e-1_pReal FEM_quadrature_weights(3,3)%p(9:14) = 4.2546020777081467e-2_pReal - allocate(FEM_quadrature_points (3,3)%p(42)) - FEM_quadrature_points (3,3)%p(1:12) = permutationStar31([9.273525031089123e-2_pReal]) - FEM_quadrature_points (3,3)%p(13:24)= permutationStar31([3.108859192633006e-1_pReal]) - FEM_quadrature_points (3,3)%p(25:42)= permutationStar22([4.5503704125649649e-2_pReal]) + FEM_quadrature_points (3,3)%p = [ & + permutationStar31([9.273525031089123e-2_pReal]), & + permutationStar31([3.108859192633006e-1_pReal]), & + permutationStar22([4.5503704125649649e-2_pReal]) ] !-------------------------------------------------------------------------------------------------- ! 3D quartic FEM_nQuadrature(3,4) = 35 allocate(FEM_quadrature_weights(3,4)%p(FEM_nQuadrature(3,4))) - FEM_quadrature_weights(3,4)%p(1:4) = 0.0021900463965388_pReal - FEM_quadrature_weights(3,4)%p(5:16) = 0.0143395670177665_pReal - FEM_quadrature_weights(3,4)%p(17:22) = 0.0250305395686746_pReal - FEM_quadrature_weights(3,4)%p(23:34) = 0.0479839333057554_pReal - FEM_quadrature_weights(3,4)%p(35) = 0.0931745731195340_pReal + FEM_quadrature_weights(3,4)%p(1:4) = 0.0021900463965388_pReal + FEM_quadrature_weights(3,4)%p(5:16) = 0.0143395670177665_pReal + FEM_quadrature_weights(3,4)%p(17:22) = 0.0250305395686746_pReal + FEM_quadrature_weights(3,4)%p(23:34) = 0.0479839333057554_pReal + FEM_quadrature_weights(3,4)%p(35) = 0.0931745731195340_pReal - allocate(FEM_quadrature_points (3,4)%p(105)) - FEM_quadrature_points (3,4)%p(1:12) = permutationStar31([0.0267367755543735_pReal]) - FEM_quadrature_points (3,4)%p(13:48) = permutationStar211([0.0391022406356488_pReal, 0.7477598884818090_pReal]) - FEM_quadrature_points (3,4)%p(49:66) = permutationStar22([0.4547545999844830_pReal]) - FEM_quadrature_points (3,4)%p(67:102) = permutationStar211([0.2232010379623150_pReal, 0.0504792790607720_pReal]) - FEM_quadrature_points (3,4)%p(103:105)= permutationStar4([0.25_pReal]) + FEM_quadrature_points (3,4)%p = [ & + permutationStar31([0.0267367755543735_pReal]), & + permutationStar211([0.0391022406356488_pReal, 0.7477598884818090_pReal]), & + permutationStar22([0.4547545999844830_pReal]), & + permutationStar211([0.2232010379623150_pReal, 0.0504792790607720_pReal]), & + permutationStar4([0.25_pReal]) ] !-------------------------------------------------------------------------------------------------- ! 3D quintic FEM_nQuadrature(3,5) = 56 allocate(FEM_quadrature_weights(3,5)%p(FEM_nQuadrature(3,5))) - FEM_quadrature_weights(3,5)%p(1:4) = 0.0010373112336140_pReal - FEM_quadrature_weights(3,5)%p(5:16) = 0.0096016645399480_pReal - FEM_quadrature_weights(3,5)%p(17:28) = 0.0164493976798232_pReal - FEM_quadrature_weights(3,5)%p(29:40) = 0.0153747766513310_pReal - FEM_quadrature_weights(3,5)%p(41:52) = 0.0293520118375230_pReal - FEM_quadrature_weights(3,5)%p(53:56) = 0.0366291366405108_pReal + FEM_quadrature_weights(3,5)%p(1:4) = 0.0010373112336140_pReal + FEM_quadrature_weights(3,5)%p(5:16) = 0.0096016645399480_pReal + FEM_quadrature_weights(3,5)%p(17:28) = 0.0164493976798232_pReal + FEM_quadrature_weights(3,5)%p(29:40) = 0.0153747766513310_pReal + FEM_quadrature_weights(3,5)%p(41:52) = 0.0293520118375230_pReal + FEM_quadrature_weights(3,5)%p(53:56) = 0.0366291366405108_pReal - allocate(FEM_quadrature_points (3,5)%p(168)) - FEM_quadrature_points (3,5)%p(1:12) = permutationStar31([0.0149520651530592_pReal]) - FEM_quadrature_points (3,5)%p(13:48) = permutationStar211([0.0340960211962615_pReal, 0.1518319491659370_pReal]) - FEM_quadrature_points (3,5)%p(49:84) = permutationStar211([0.0462051504150017_pReal, 0.3549340560639790_pReal]) - FEM_quadrature_points (3,5)%p(85:120) = permutationStar211([0.2281904610687610_pReal, 0.0055147549744775_pReal]) - FEM_quadrature_points (3,5)%p(121:156)= permutationStar211([0.3523052600879940_pReal, 0.0992057202494530_pReal]) - FEM_quadrature_points (3,5)%p(157:168)= permutationStar31([0.1344783347929940_pReal]) + FEM_quadrature_points (3,5)%p = [ & + permutationStar31([0.0149520651530592_pReal]), & + permutationStar211([0.0340960211962615_pReal, 0.1518319491659370_pReal]), & + permutationStar211([0.0462051504150017_pReal, 0.3549340560639790_pReal]), & + permutationStar211([0.2281904610687610_pReal, 0.0055147549744775_pReal]), & + permutationStar211([0.3523052600879940_pReal, 0.0992057202494530_pReal]), & + permutationStar31([0.1344783347929940_pReal]) ] call selfTest @@ -218,7 +214,7 @@ pure function permutationStar21(point) result(qPt) temp(:,2) = [point(1), 1.0_pReal - 2.0_pReal*point(1), point(1)] temp(:,3) = [1.0_pReal - 2.0_pReal*point(1), point(1), point(1)] - qPt = reshape(matmul(triangle, temp),[6]) + qPt = reshape(matmul(triangle, temp),[6]) end function permutationStar21