2d tie contact working.

This commit is contained in:
Jukka Aho
2015-11-24 03:06:56 +02:00
parent 6e0bc11345
commit 66b9ecea92
16 changed files with 1017 additions and 199 deletions
+91 -60
View File
@@ -6,6 +6,7 @@
type DirectSolver <: Solver
field_problems :: Vector{FieldProblem}
boundary_problems :: Vector{BoundaryProblem}
parallel :: Bool
nonlinear_problem :: Bool
max_iterations :: Int64
tol :: Float64
@@ -21,90 +22,120 @@ end
""" Default initializer. """
function DirectSolver()
DirectSolver([], [], true, 10, 1.0e-6)
DirectSolver([], [], false, true, 10, 1.0e-6)
end
""" Call solver to solve a set of problems. """
function call(solver::DirectSolver, time::Number=0.0)
@assert length(solver.field_problems) == 1
@assert length(solver.boundary_problems) == 1
#@assert length(solver.field_problems) == 1
info("# of field problems: $(length(solver.field_problems))")
info("# of boundary problems: $(length(solver.boundary_problems))")
@assert solver.nonlinear_problem == true
problem1 = solver.field_problems[1]
problem2 = solver.boundary_problems[1]
# check that all problems are "same kind"
field_name = get_unknown_field_name(solver.field_problems[1])
field_dim = get_unknown_field_dimension(solver.field_problems[1])
for field_problem in solver.field_problems
get_unknown_field_name(field_problem) == field_name || error("several different fields not supported yet")
get_unknown_field_dimension(field_problem) == field_dim || error("several different field dimensions not supported yet")
end
x = zeros(3)
dx = zeros(3)
dims = nothing
# create initial fields for this increment
# i.e., copy last known values as initial guess
# for this increment
for field_problem in solver.field_problems
for equation in get_equations(field_problem)
element = get_element(equation)
gdofs = get_gdofs(field_problem, equation)
if !isapprox(last(element[field_name]).time, time)
last_data = copy(last(element[field_name]).data)
push!(element[field_name], time => last_data)
end
end
end
for boundary_problem in solver.boundary_problems
for equation in get_equations(boundary_problem)
element = get_element(equation)
gdofs = get_gdofs(boundary_problem, equation)
eqdim = size(equation)[2]
data = Vector{Float64}[zeros(field_dim) for i in 1:eqdim]
if !isapprox(last(element["reaction force"]).time, time)
push!(element["reaction force"], time => data)
end
end
end
dim = 0
for iter=1:solver.max_iterations
tic()
info("Starting iteration $iter")
assembly1 = Assembly()
assemble!(assembly1, problem1, time)
assembly2 = Assembly()
assemble!(assembly2, problem2, time)
A1 = sparse(assembly1.stiffness_matrix)
dims = size(A1)
b1 = sparse(assembly1.force_vector, dims[1], 1)
A2 = sparse(assembly2.stiffness_matrix, dims[1], dims[2])
b2 = sparse(assembly2.force_vector, dims[1], 1)
# create a saddle point problem
A = [A1 A2; A2' zeros(A2)]
b = [b1; b2]
mapper = solver.parallel ? pmap : map
if length(b) != length(x)
info("iter $iter: resizing solution vector")
resize!(x, length(b))
resize!(dx, length(b))
fill!(x, 0.0)
fill!(dx, 0.0)
end
# assemble boundary problems
boundary_assembly = sum(mapper((p)->assemble(p, time), solver.boundary_problems))
boundary_dofs = unique(boundary_assembly.stiffness_matrix.I)
# solve problem, update solution vector
# assemble field problems
# in principle if we want to static condensation we need to pass boundary dofs
# to field problems in order to know which dofs are interior dofs and can be
# condensated.
field_assembly = sum(mapper((p)->assemble(p, time), solver.field_problems))
field_dofs = unique(field_assembly.stiffness_matrix.I)
info("# of dofs: $(length(field_dofs)), # of interface dofs: $(length(boundary_dofs))")
# create sparse matrices and saddle point problem
K = sparse(field_assembly.stiffness_matrix)
dim = size(K, 1)
r = sparse(field_assembly.force_vector, dim, 1)
C = sparse(boundary_assembly.stiffness_matrix, dim, dim)
g = sparse(boundary_assembly.force_vector, dim, 1)
A = [K C'; C spzeros(dim, dim)]
b = [r; g]
# solve increment for linearized problem
nz = unique(rowvals(A)) # take only non-zero rows
dx[nz] = lufact(A[nz,nz]) \ full(b[nz])
x += dx
sol = zeros(b)
sol[nz] = lufact(A[nz,nz]) \ full(b[nz])
info("solved. length of solution vector = $(length(sol))")
#info(full(sol[nz]))
# get "problem-wise" solution vectors
x1 = x[1:dims[1]]
x2 = x[dims[1]+1:end]
# update field for elements in problem 1
for equation in get_equations(problem1)
element = get_element(equation)
field_name = get_unknown_field_name(problem1)
gdofs = get_gdofs(problem1, equation)
local_sol = vec(full(x1[gdofs]))
eqsize = size(equation)
if eqsize[1] != 1
# update elements in field problems
for field_problem in solver.field_problems
for equation in get_equations(field_problem)
element = get_element(equation)
gdofs = get_gdofs(field_problem, equation)
eqsize = size(equation)
local_sol = vec(full(sol[gdofs])) # incremental data for element
local_sol = reshape(local_sol, eqsize)
local_sol = Vector{Float64}[local_sol[:,i] for i=1:size(local_sol,2)]
last(element[field_name]).data += local_sol # <-- added
end
#info("problem1: pushing to $field_name")
push!(element[field_name], time => local_sol)
end
# update field for elements in problem 2 (Dirichlet boundary)
for equation in get_equations(problem2)
element = get_element(equation)
field_name = "reaction force" #get_unknown_field_name(problem2)
gdofs = get_gdofs(problem2, equation)
local_sol = vec(full(x1[gdofs]))
eqsize = size(equation)
if eqsize[1] != 1
local_sol = reshape(local_sol, eqsize)
# update elements in boundary problems
for boundary_problem in solver.boundary_problems
for equation in get_equations(boundary_problem)
element = get_element(equation)
gdofs = get_gdofs(boundary_problem, equation) + dim
eqsize = size(equation)
local_sol = vec(full(sol[gdofs]))
#info("local sol = $local_sol")
local_sol = reshape(local_sol, field_dim, eqsize[2])
local_sol = Vector{Float64}[local_sol[:,i] for i=1:size(local_sol,2)]
last(element["reaction force"]).data = local_sol # <-- replaced
end
#info("problem2: pushing to $field_name")
push!(element[field_name], time => local_sol)
end
if norm(dx[1:dims[1]]) < solver.tol
return (iter, true)
end
info("Iteration took $(toq()) seconds")
if norm(sol[1:dim]) < solver.tol
return (iter, true)
end
end
info("Warning: did not coverge in $(solver.max_iterations) iterations!")