mirror of
https://github.com/JuliaFEM/JuliaFEM.jl.git
synced 2026-09-23 19:06:15 +00:00
time properly implemented to .. everything.
This commit is contained in:
+30
-56
@@ -5,31 +5,9 @@
|
||||
|
||||
abstract CG <: Element
|
||||
|
||||
"""
|
||||
Create new element with element_name to family element_family
|
||||
|
||||
Examples
|
||||
--------
|
||||
>>> @create_element(Seg2, CG, "2 node linear segment")
|
||||
"""
|
||||
macro create_element(element_name, element_family, element_description)
|
||||
# Logging.debug("Creating element ", element_name, ": ", element_description, "\n")
|
||||
eltype = esc(element_name)
|
||||
elfam = esc(element_family)
|
||||
quote
|
||||
global get_element_description
|
||||
type $eltype <: $elfam
|
||||
connectivity :: Array{Int, 1}
|
||||
fields :: Dict{Any, Any}
|
||||
end
|
||||
$eltype(connectivity) = $eltype(connectivity, Dict{Any, Any}())
|
||||
get_element_description(el::Type{$eltype}) = $element_description
|
||||
end
|
||||
end
|
||||
|
||||
"""
|
||||
Given polynomial P and coordinates of reference element, calculate
|
||||
Lagrange basis function and partial derivatives.
|
||||
Lagrange basis functions
|
||||
"""
|
||||
function calculate_lagrange_basis(P, X)
|
||||
dim, nbasis = size(X)
|
||||
@@ -40,70 +18,66 @@ function calculate_lagrange_basis(P, X)
|
||||
# Logging.debug("Calculating inverse of A")
|
||||
invA = inv(A)'
|
||||
basis(xi) = invA*P(xi)
|
||||
dbasisdxi = ForwardDiff.jacobian(basis)
|
||||
basis, dbasisdxi
|
||||
basis
|
||||
end
|
||||
|
||||
"""
|
||||
Assign Lagrange basis for element.
|
||||
Create new Lagrange element
|
||||
|
||||
Examples
|
||||
--------
|
||||
>>> @create_lagrange_element(Seg2, "2 node linear segment", X, P)
|
||||
"""
|
||||
macro create_lagrange_basis(element_name, X, P)
|
||||
|
||||
# Logging.debug("Creating Lagrange basis for element ", element_name, ". ")
|
||||
macro create_lagrange_element(element_name, element_description, X, P)
|
||||
# Logging.debug("Creating element ", element_name, ": ", element_description, "\n")
|
||||
eltype = esc(element_name)
|
||||
|
||||
quote
|
||||
|
||||
global get_element_description
|
||||
global get_number_of_basis_functions, get_element_dimension
|
||||
global get_basis, get_dbasisdxi
|
||||
|
||||
dim = size($X, 1)
|
||||
nbasis = size($X, 2)
|
||||
# Logging.debug("Number of basis functions: ", nbasis, ". ")
|
||||
# Logging.debug("Element dimension: ", dim)
|
||||
|
||||
get_number_of_basis_functions(el::Type{$(esc(element_name))}) = nbasis
|
||||
get_number_of_basis_functions(el::$(esc(element_name))) = nbasis
|
||||
get_element_dimension(el::$(esc(element_name))) = dim
|
||||
|
||||
basis, dbasisdxi = calculate_lagrange_basis($P, $X)
|
||||
get_basis(el::$eltype, xi) = basis(xi)
|
||||
get_dbasisdxi(el::$eltype, xi) = dbasisdxi(xi)
|
||||
# Logging.debug("Element ", $element_name, " created.")
|
||||
h = calculate_lagrange_basis($P, $X)
|
||||
type $eltype <: CG
|
||||
connectivity :: Array{Int, 1}
|
||||
basis :: Basis
|
||||
fields :: Dict{Symbol, Array{Field, 1}}
|
||||
end
|
||||
function $eltype(connectivity, args...)
|
||||
$eltype(connectivity, Basis(h), Dict())
|
||||
end
|
||||
get_element_description(el::Type{$eltype}) = $element_description
|
||||
get_number_of_basis_functions(el::Type{$eltype}) = nbasis
|
||||
get_element_dimension(el::Type{$eltype}) = dim
|
||||
end
|
||||
|
||||
end
|
||||
|
||||
# 0d Lagrange element
|
||||
|
||||
@create_element(Point1, CG, "1 node point element")
|
||||
#@create_element(Point1, CG, "1 node point element")
|
||||
|
||||
# 1d Lagrange elements
|
||||
|
||||
@create_element(Seg2, CG, "2 node linear line element")
|
||||
@create_lagrange_basis(Seg2, [-1.0 1.0], (xi) -> [1.0, xi[1]])
|
||||
@create_lagrange_element(Seg2, "2 node linear line element",
|
||||
[-1.0 1.0], (xi) -> [1.0, xi[1]])
|
||||
|
||||
@create_element(Seg3, CG, "3 node quadratic line element")
|
||||
@create_lagrange_basis(Seg3, [-1.0 1.0 0.0], (xi) -> [1.0, xi[1], xi[1]^2])
|
||||
@create_lagrange_element(Seg3, "3 node quadratic line element",
|
||||
[-1.0 1.0 0.0], (xi) -> [1.0, xi[1], xi[1]^2])
|
||||
|
||||
# 2d Lagrange elements
|
||||
|
||||
@create_element(Tri3, CG, "3 node bilinear triangle element")
|
||||
@create_lagrange_basis(Tri3,
|
||||
@create_lagrange_element(Tri3, "3 node bilinear triangle element",
|
||||
[0.0 1.0 0.0
|
||||
0.0 0.0 1.0],
|
||||
(xi) -> [1.0, xi[1], xi[2]])
|
||||
|
||||
@create_element(Quad4, CG, "4 node bilinear quadrangle element")
|
||||
@create_lagrange_basis(Quad4,
|
||||
@create_lagrange_element(Quad4, "4 node bilinear quadrangle element",
|
||||
[-1.0 1.0 1.0 -1.0
|
||||
-1.0 -1.0 1.0 1.0],
|
||||
(xi) -> [1.0, xi[1], xi[2], xi[1]*xi[2]])
|
||||
|
||||
# 3d Lagrange elements
|
||||
|
||||
@create_element(Tet10, CG, "10 node quadratic tetrahedron")
|
||||
@create_lagrange_basis(Tet10,
|
||||
@create_lagrange_element(Tet10, "10 node quadratic tetrahedron",
|
||||
[0.0 1.0 0.0 0.0 0.5 0.5 0.0 0.0 0.5 0.0
|
||||
0.0 0.0 1.0 0.0 0.0 0.5 0.5 0.0 0.0 0.5
|
||||
0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.5 0.5 0.5],
|
||||
|
||||
Reference in New Issue
Block a user