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sourceTerms.jl
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sourceTerms.jl
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# ===============================
# Written by AAE
# TU Delft, Spring 2014
# simulkade.com
# ===============================
# ================================================================
# Changes:
# 2015-01-10 changed numberofcells to dims
# ================================================================
# ======================= Linear source term ========================
function linearSourceTerm(betta0::CellValue)
m = betta0.domain
d = m.dimension
if (d ==1) || (d==1.5)
Nx = m.dims[1]
G = [1:Nx+2;]
b = betta0.value[2:end-1]
row_index = reshape(G[2:Nx+1],Nx) # main diagonal (only internal cells)
AP_diag = reshape(b,Nx)
sparse(row_index, row_index, AP_diag, Nx+2, Nx+2)
elseif (d == 2) || (d == 2.5) || (d==2.8)
Nx = m.dims[1]
Ny = m.dims[2]
G=reshape([1:(Nx+2)*(Ny+2);], Nx+2, Ny+2)
b = betta0.value[2:end-1,2:end-1]
row_index = reshape(G[2:Nx+1,2:Ny+1],Nx*Ny) # main diagonal (only internal cells)
AP_diag = reshape(b,Nx*Ny)
sparse(row_index, row_index, AP_diag, (Nx+2)*(Ny+2), (Nx+2)*(Ny+2))
elseif (d == 3) || (d==3.2)
Nx = m.dims[1]
Ny = m.dims[2]
Nz = m.dims[3]
G=reshape([1:(Nx+2)*(Ny+2)*(Nz+2);], Nx+2, Ny+2, Nz+2)
b = betta0.value[2:end-1,2:end-1,2:end-1]
row_index = reshape(G[2:Nx+1,2:Ny+1,2:Nz+1],Nx*Ny*Nz) # main diagonal (only internal cells)
AP_diag = reshape(b,Nx*Ny*Nz)
sparse(row_index, row_index, AP_diag, (Nx+2)*(Ny+2)*(Nz+2), (Nx+2)*(Ny+2)*(Nz+2))
end
end
function linearSourceTerm(m::MeshStructure, betta0::Real)
linearSourceTerm(CellValue(m, betta0))
end
function linearSourceTerm(m::MeshStructure, betta0::Array{T}) where T<:Real
d = m.dimension
if (d ==1) || (d==1.5)
Nx = m.dims
G = [1:Nx+2;]
row_index = reshape(G[2:Nx+1],Nx) # main diagonal (only internal cells)
AP_diag = reshape(betta0,Nx)
sparse(row_index, row_index, AP_diag, Nx+2, Nx+2)
elseif (d == 2) || (d == 2.5) || (d==2.8)
Nx = m.dims[1]
Ny = m.dims[2]
G=reshape([1:(Nx+2)*(Ny+2);], Nx+2, Ny+2)
row_index = reshape(G[2:Nx+1,2:Ny+1],Nx*Ny) # main diagonal (only internal cells)
AP_diag = reshape(betta0,Nx*Ny)
sparse(row_index, row_index, AP_diag, (Nx+2)*(Ny+2), (Nx+2)*(Ny+2))
elseif (d == 3) || (d==3.2)
Nx = m.dims[1]
Ny = m.dims[2]
Nz = m.dims[3]
G=reshape([1:(Nx+2)*(Ny+2)*(Nz+2);], Nx+2, Ny+2, Nz+2)
row_index = reshape(G[2:Nx+1,2:Ny+1,2:Nz+1],Nx*Ny*Nz) # main diagonal (only internal cells)
AP_diag = reshape(betta0,Nx*Ny*Nz)
sparse(row_index, row_index, AP_diag, (Nx+2)*(Ny+2)*(Nz+2), (Nx+2)*(Ny+2)*(Nz+2))
end
end
# ================================== constant source term ================================
function constantSourceTerm(phi0::CellValue)
m = phi0.domain
d = m.dimension
if (d ==1) || (d==1.5)
Nx = m.dims[1]
G = [1:Nx+2;]
row_index = reshape(G[2:Nx+1],Nx) # main diagonal (only internal cells)
RHS = zeros(Nx+2)
RHS[row_index] .= reshape(phi0.value[2:end-1],Nx)
elseif (d == 2) || (d == 2.5) || (d==2.8)
Nx = m.dims[1]
Ny = m.dims[2]
G=reshape([1:(Nx+2)*(Ny+2);], Nx+2, Ny+2)
row_index = reshape(G[2:Nx+1,2:Ny+1],Nx*Ny) # main diagonal (only internal cells)
RHS = zeros((Nx+2)*(Ny+2))
RHS[row_index] .= reshape(phi0.value[2:end-1,2:end-1],Nx*Ny)
elseif (d == 3) || (d==3.2)
Nx = m.dims[1]
Ny = m.dims[2]
Nz = m.dims[3]
G=reshape([1:(Nx+2)*(Ny+2)*(Nz+2);], Nx+2, Ny+2, Nz+2)
row_index = reshape(G[2:Nx+1,2:Ny+1,2:Nz+1],Nx*Ny*Nz) # main diagonal (only internal cells)
RHS = zeros((Nx+2)*(Ny+2)*(Nz+2))
RHS[row_index] .= reshape(phi0.value[2:end-1,2:end-1,2:end-1],Nx*Ny*Nz)
end
RHS
end
function constantSourceTerm(m::MeshStructure, phi0::Real)
constantSourceTerm(CellValue(m, phi0))
end
function constantSourceTerm(m::MeshStructure, phi0::Array{T}) where T<:Real
d = m.dimension
if (d ==1) || (d==1.5)
Nx = m.dims
G = [1:Nx+2;]
row_index = reshape(G[2:Nx+1],Nx) # main diagonal (only internal cells)
RHS = zeros(Nx+2)
RHS[row_index] .= reshape(phi0,Nx)
elseif (d == 2) || (d == 2.5) || (d==2.8)
Nx = m.dims[1]
Ny = m.dims[2]
G=reshape([1:(Nx+2)*(Ny+2);], Nx+2, Ny+2)
row_index = reshape(G[2:Nx+1,2:Ny+1],Nx*Ny) # main diagonal (only internal cells)
RHS = zeros((Nx+2)*(Ny+2))
RHS[row_index] .= reshape(phi0,Nx*Ny)
elseif (d == 3) || (d==3.2)
Nx = m.dims[1]
Ny = m.dims[2]
Nz = m.dims[3]
G=reshape([1:(Nx+2)*(Ny+2)*(Nz+2);], Nx+2, Ny+2, Nz+2)
row_index = reshape(G[2:Nx+1,2:Ny+1,2:Nz+1],Nx*Ny*Nz) # main diagonal (only internal cells)
RHS = zeros((Nx+2)*(Ny+2)*(Nz+2))
RHS[row_index] .= reshape(phi0,Nx*Ny*Nz)
end
RHS
end