time properly implemented to .. everything.

This commit is contained in:
Jukka Aho
2015-09-29 00:07:56 +03:00
parent b5bcc0a630
commit 7403fb8cb7
9 changed files with 410 additions and 287 deletions
+30 -56
View File
@@ -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],