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pyramid_initialization.f90
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module pyramid_initialization
use precision, only: dp
use input, only: level_py, partition, layer, pi, cellsize_py, cellsize_py_cube
use array, only: pyramid_grid, parent_position
use solid_angle, only: ss, cc
implicit none
contains
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
subroutine pyramid_volume()
implicit none
integer :: k, n
real(kind=dp) :: volume
! Volume on the same level are the same
do k = 1,level_py
n = partition(k)
volume = real(3*k*k-3*k+1)/real(3*n*n) * cellsize_py_cube
pyramid_grid(k)%volume = volume
end do
end subroutine pyramid_volume
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
subroutine pyramid_cellsize()
implicit none
integer :: i,j,k,n
!The radial length of the pyramid_grid
do k = 1,level_py
do i = 1,partition(k)
do j = 1,partition(k)
n = partition(k)
pyramid_grid(k)%cellsize(i,j) = cellsize_py*sqrt(real(i*i+j*j+n*n-i-j)+0.5)/real(n)
end do
end do
end do
end subroutine pyramid_cellsize
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
subroutine pyramid_solid_angle()
implicit none
integer :: i,j,k,n
real(kind=dp) :: four_pi
four_pi = 4*pi
n = partition(level_py)
! solid angle spanned by the pyramid_grid of the toppest level
do i = 1,partition(level_py)
do j = 1,partition(level_py)
if (i.ge.j) then
pyramid_grid(level_py)%solid_angle(i,j) = (ss(i-1,j,i-1,n) - ss(i-1,j-1,i-1,n) - &
ss(i,j,i,n) + ss(i,j-1,i,n) + &
cc(j,j,i,n) - cc(j,j,i-1,n) + &
cc(j-1,j-1,i-1,n) - cc(j-1,j-1,i,n))/four_pi
elseif (i.lt.j) then
pyramid_grid(level_py)%solid_angle(i,j) = (ss(j-1,i,j-1,n) - ss(j-1,i-1,j-1,n) - &
ss(j,i,j,n) + ss(j,i-1,j,n) + &
cc(i,i,j,n) - cc(i,i,j-1,n) + &
cc(i-1,i-1,j-1,n) - cc(i-1,i-1,j,n))/four_pi
endif
end do
end do
! solid angle spanned by the pyramid_grid of the other level
do k = level_py-1,1,-1
if (partition(k).eq.partition(k+1)) then
pyramid_grid(k)%solid_angle = pyramid_grid(k+1)%solid_angle
else
do i = 1,partition(k)
do j = 1,partition(k)
pyramid_grid(k)%solid_angle(i,j) = pyramid_grid(k+1)%solid_angle(2*i-1,2*j-1) + &
pyramid_grid(k+1)%solid_angle(2*i-1,2*j) + &
pyramid_grid(k+1)%solid_angle(2*i,2*j-1) + &
pyramid_grid(k+1)%solid_angle(2*i,2*j)
end do
end do
endif
enddo
end subroutine pyramid_solid_angle
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
subroutine root_setup()
implicit none
integer :: son_position, son_height, parent_height
do son_height = 1,level_py
do son_position = 1,partition(son_height)
do parent_height = 1,son_height
parent_position(son_height,son_position)%with_parent_height(parent_height) = &
(son_position-1)/(2**(layer(son_height)-layer(parent_height)))+1
enddo
enddo
enddo
end subroutine root_setup
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
end module pyramid_initialization