This function calculates the sigma for the spongeLayer from treeid for the polynomial order n6. Sponge profile: where, \sigma_A - sponge strength, L - thickness, x0 - start of sponge.
Type | Intent | Optional | Attributes | Name | ||
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type(tem_spongeLayer_plane_type) | :: | me |
Spatial sponge layer to evaluate |
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integer(kind=long_k), | intent(in) | :: | treeIds(n) |
treeIds of elements in given level |
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type(treelmesh_type), | intent(in) | :: | tree |
global treelm mesh |
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integer, | intent(in) | :: | n |
Number of arrays to return |
return value
function spongeLayer_plane_polyn6_for_treeids(me, treeids, tree, n) &
& result(res)
! --------------------------------------------------------------------------
!> Spatial sponge layer to evaluate
type(tem_spongeLayer_plane_type) :: me
!> Number of arrays to return
integer, intent(in) :: n
!> global treelm mesh
type( treelmesh_type ), intent(in) ::tree
!> treeIds of elements in given level
integer(kind=long_k), intent(in) :: treeIds(n)
!> return value
real(kind=rk) :: res(n)
! --------------------------------------------------------------------------
integer :: i
real(kind=rk) :: sigma, origin(3), normal(3), vec1(3), vec2(3), coord(3)
real(kind=rk) :: proj_len1, proj_len2, const_fac
! --------------------------------------------------------------------------
origin(:) = me%origin
normal(:) = me%normal
const_fac = 729_rk/(16_rk*me%thickness**6)
do i = 1,n
!barycentric coordinate
coord = tem_BaryOfId( tree, treeIds(i) )
vec1(:) = coord(:) - origin(:)
vec2(:) = me%thickness*normal(:) + origin(:) - coord(:)
proj_len1 = vec1(1)*normal(1)+ vec1(2)*normal(2)+vec1(3)*normal(3)
proj_len2 = vec2(1)*normal(1)+ vec2(2)*normal(2)+vec2(3)*normal(3)
if (proj_len1 > 0) then
sigma = const_fac * proj_len2**2 * (proj_len1**4)
res(i) = min(1.0_rk, sigma) * me%dampFactor
else
res(i) = 0.0_rk
end if
end do
end function spongeLayer_plane_polyn6_for_treeids