mirror of
https://github.com/JuliaFEM/JuliaFEM.jl.git
synced 2026-09-18 09:41:31 +00:00
Merge branch 'master' of git://github.com/JuliaFEM/JuliaFEM.jl
This commit is contained in:
Olli Väinölä
@@ -59,11 +59,33 @@
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"collapsed": true
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"using JuliaFEM"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"addprocs(7)'\n",
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"@everywhere using JuliaFEM"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"using JuliaFEM\n",
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"using JuliaFEM.Core: Element, Tri3, Tet4, Tri6, Tet10\n",
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"using JuliaFEM.Core: ElasticityProblem, DirichletProblem\n",
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"using JuliaFEM.Core: DirectSolver"
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@@ -71,7 +93,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"execution_count": 4,
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"metadata": {
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"collapsed": false
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},
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@@ -82,26 +104,25 @@
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"text": [
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"INFO: Registered handlers: Any[\"ELEMENT\",\"NODE\",\"NSET\",\"ELSET\"]\n",
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"INFO: Parsing elements\n",
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"INFO: 216652 elements found\n",
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"INFO: Creating ELSET PISTON\n",
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"INFO: Parsing elements\n",
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"INFO: 24783 elements found\n"
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"INFO: 62454 elements found\n",
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"INFO: Creating ELSET PISTON\n"
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]
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},
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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" "
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" "
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]
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},
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"INFO: Parsing elements\n",
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"INFO: 3494 elements found\n",
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"INFO: Creating element set BC1\n",
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"INFO: Creating element set BC2\n",
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"INFO: Creating element set BC3\n",
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"INFO: model loaded.\n"
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]
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},
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@@ -109,7 +130,7 @@
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"5.760825 seconds (44.46 M allocations: 1.301 GB, 30.79% gc time)\n"
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" 2.269207 seconds (14.52 M allocations: 433.635 MB, 13.38% gc time)\n"
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]
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}
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],
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@@ -126,7 +147,7 @@
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" # Quadratic models\n",
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" #model = open(JuliaFEM.Core.parse_abaqus, \"../geometry/piston/piston_19611_P2.inp\")\n",
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" #model = open(JuliaFEM.Core.parse_abaqus, \"../geometry/piston/piston_55950_P2.inp\")\n",
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" #model = open(JuliaFEM.Core.parse_abaqus, \"../geometry/piston/piston_107168_P2.inp\")\n",
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" model = open(JuliaFEM.Core.parse_abaqus, \"/Temp/piston_107168_P2.inp\")\n",
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" #model = open(JuliaFEM.Core.parse_abaqus, \"../geometry/piston/piston_345757_P2.inp\")\n",
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"\n",
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" info(\"model loaded.\")\n",
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@@ -135,7 +156,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"execution_count": 5,
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"metadata": {
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"collapsed": false
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},
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@@ -144,7 +165,7 @@
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"INFO: 241435 elements created.\n",
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"INFO: 65948 elements created.\n",
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"INFO: all ready for solver\n"
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]
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}
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@@ -202,7 +223,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"execution_count": 6,
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"metadata": {
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"collapsed": true
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{
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"cell_type": "code",
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"execution_count": 5,
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"execution_count": 7,
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"metadata": {
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"collapsed": false
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},
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"INFO: Assemble: 80 % done\n",
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"INFO: # of interface dofs: 19848\n",
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"INFO: # of interface dofs: 8568\n",
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"INFO: Assembling field problems...\n",
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"INFO: # of dofs in problem 1: 321504\n",
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"INFO: Solving system\n",
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"INFO: Solved, calculating interior dofs...\n",
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"INFO: Problem solved. solution norm: 11.391177449683427\n",
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"INFO: timing info for non-linear iteration:\n",
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"INFO: boundary assembly : 3.686000108718872\n",
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"INFO: field assembly : 162.32500004768372\n",
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"INFO: reduce stiffness matrix : 5.069999933242798\n",
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"INFO: create sparse matrices : 0.1399998664855957\n",
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"INFO: dump matrices to disk : 0.0\n",
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"INFO: solve problem : 29.73900008201599\n",
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"INFO: back substitute : 0.0\n",
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"INFO: update element data : 1.621999979019165\n",
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"INFO: non-linear iteration : 204.1119999885559\n",
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"INFO: Starting iteration 2\n",
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"INFO: Assemble: 40 % done\n",
|
||||
"INFO: Assemble: 50 % done\n",
|
||||
"INFO: Assemble: 60 % done\n",
|
||||
"INFO: Assemble: 70 % done\n",
|
||||
"INFO: Assemble: 80 % done\n",
|
||||
"INFO: Assemble: 90 % done\n",
|
||||
"INFO: Assemble: 100 % done\n",
|
||||
"INFO: # of interface dofs: 8568\n",
|
||||
"INFO: Assembling field problems...\n",
|
||||
"INFO: Assembling body 1...\n",
|
||||
"INFO: Assemble: 10 % done\n",
|
||||
"INFO: Assemble: 10 % done\n",
|
||||
"INFO: Assemble: 10 % done\n",
|
||||
"INFO: Assemble: 10 % done\n",
|
||||
"INFO: Assemble: 10 % done\n",
|
||||
"INFO: Assemble: 10 % done\n",
|
||||
"INFO: Assemble: 10 % done\n",
|
||||
"INFO: Assemble: 20 % done\n",
|
||||
"INFO: Assemble: 20 % done\n",
|
||||
"INFO: Assemble: 20 % done\n",
|
||||
"INFO: Assemble: 20 % done\n",
|
||||
"INFO: Assemble: 20 % done\n",
|
||||
"INFO: Assemble: 20 % done\n",
|
||||
"INFO: Assemble: 20 % done\n",
|
||||
"INFO: Assemble: 30 % done\n",
|
||||
"INFO: Assemble: 30 % done\n",
|
||||
"INFO: Assemble: 30 % done\n",
|
||||
"INFO: Assemble: 30 % done\n",
|
||||
"INFO: Assemble: 30 % done\n",
|
||||
"INFO: Assemble: 30 % done\n",
|
||||
"INFO: Assemble: 30 % done\n",
|
||||
"INFO: Assemble: 40 % done\n",
|
||||
"INFO: Assemble: 40 % done\n",
|
||||
"INFO: Assemble: 40 % done\n",
|
||||
"INFO: Assemble: 40 % done\n",
|
||||
"INFO: Assemble: 40 % done\n",
|
||||
"INFO: Assemble: 40 % done\n",
|
||||
"INFO: Assemble: 40 % done\n",
|
||||
"INFO: Assemble: 50 % done\n",
|
||||
"INFO: Assemble: 50 % done\n",
|
||||
"INFO: Assemble: 50 % done\n",
|
||||
"INFO: Assemble: 50 % done\n",
|
||||
"INFO: Assemble: 50 % done\n",
|
||||
"INFO: Assemble: 50 % done\n",
|
||||
"INFO: Assemble: 50 % done\n",
|
||||
"INFO: Assemble: 60 % done\n",
|
||||
"INFO: Assemble: 60 % done\n",
|
||||
"INFO: Assemble: 60 % done\n",
|
||||
"INFO: Assemble: 60 % done\n",
|
||||
"INFO: Assemble: 60 % done\n",
|
||||
"INFO: Assemble: 60 % done\n",
|
||||
"INFO: Assemble: 60 % done\n",
|
||||
"INFO: Assemble: 70 % done\n",
|
||||
"INFO: Assemble: 70 % done\n",
|
||||
"INFO: Assemble: 70 % done\n",
|
||||
"INFO: Assemble: 70 % done\n",
|
||||
"INFO: Assemble: 70 % done\n",
|
||||
"INFO: Assemble: 70 % done\n",
|
||||
"INFO: Assemble: 70 % done\n",
|
||||
"INFO: Assemble: 80 % done\n",
|
||||
"INFO: Assemble: 80 % done\n",
|
||||
"INFO: Assemble: 90 % done\n",
|
||||
"INFO: Assemble: 80 % done\n",
|
||||
"INFO: Assemble: 80 % done\n",
|
||||
"INFO: Assemble: 80 % done\n",
|
||||
"INFO: Assemble: 80 % done\n",
|
||||
"INFO: Assemble: 80 % done\n",
|
||||
"INFO: Assemble: 90 % done\n",
|
||||
"INFO: Assemble: 90 % done\n",
|
||||
"INFO: Assemble: 90 % done\n",
|
||||
"INFO: Assemble: 90 % done\n",
|
||||
"INFO: Assemble: 90 % done\n",
|
||||
"INFO: Assemble: 90 % done\n",
|
||||
"INFO: # of dofs in problem 1: 321504\n",
|
||||
"INFO: Solving system\n",
|
||||
"INFO: Solved, calculating interior dofs...\n",
|
||||
"INFO: Problem solved. solution norm: 5.318293313386342e-10\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"ename": "LoadError",
|
||||
"evalue": "LoadError: InterruptException:\nwhile loading In[5], in expression starting on line 1",
|
||||
"output_type": "error",
|
||||
"traceback": [
|
||||
"LoadError: InterruptException:\nwhile loading In[5], in expression starting on line 1",
|
||||
""
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"(4,true)"
|
||||
]
|
||||
},
|
||||
"execution_count": 7,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
},
|
||||
{
|
||||
"name": "stderr",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"INFO: timing info for non-linear iteration:\n",
|
||||
"INFO: boundary assembly : 2.0319998264312744\n",
|
||||
"INFO: field assembly : 166.31699991226196\n",
|
||||
"INFO: reduce stiffness matrix : 5.141999959945679\n",
|
||||
"INFO: create sparse matrices : 0.1419999599456787\n",
|
||||
"INFO: dump matrices to disk : 0.0\n",
|
||||
"INFO: solve problem : 60.019999980926514\n",
|
||||
"INFO: back substitute : 0.0\n",
|
||||
"INFO: update element data : 1.621999979019165\n",
|
||||
"INFO: non-linear iteration : 236.77899980545044\n",
|
||||
"INFO: solver finished in 912.1029999256134 seconds.\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"solver.reduce_stiffness_matrix = false\n",
|
||||
"#solver.dump_matrices = true\n",
|
||||
"call(solver, 0.0)"
|
||||
]
|
||||
},
|
||||
|
||||
+22
-7
@@ -13,6 +13,12 @@ type CAssembly
|
||||
fi :: SparseMatrixCSC
|
||||
end
|
||||
|
||||
function optimize!(assembly::Assembly)
|
||||
optimize!(assembly.mass_matrix)
|
||||
optimize!(assembly.stiffness_matrix)
|
||||
optimize!(assembly.force_vector)
|
||||
end
|
||||
|
||||
function assemble!(assembly::Assembly, problem::AllProblems, time::Float64, empty_assembly::Bool=true)
|
||||
if empty_assembly
|
||||
empty!(assembly)
|
||||
@@ -22,19 +28,28 @@ function assemble!(assembly::Assembly, problem::AllProblems, time::Float64, empt
|
||||
end
|
||||
end
|
||||
|
||||
function assemble(problem::AllProblems, time::Float64)
|
||||
function assemble(problem::AllProblems, elrange::UnitRange{Int64}, time::Real)
|
||||
elements = get_elements(problem)[elrange]
|
||||
assembly = Assembly()
|
||||
ne = length(get_elements(problem))
|
||||
ne = length(elrange)
|
||||
p = ne > 10 ? round(Int, ne/10) : ne
|
||||
for (i, element) in enumerate(get_elements(problem))
|
||||
for (i, element) in enumerate(elements)
|
||||
mod(i, p) == 0 && info("Assemble: ", round(Int, i/ne*100), " % done")
|
||||
assemble!(assembly, problem, element, time)
|
||||
end
|
||||
optimize!(assembly)
|
||||
return assembly
|
||||
end
|
||||
|
||||
""" Calculate reduced stiffness matrix. """
|
||||
function reduce(assembly::Assembly, boundary_dofs_::Vector{Int})
|
||||
function assemble(problem::AllProblems, time::Real)
|
||||
ne = length(get_elements(problem))
|
||||
assemble(problem, 1:ne, time)
|
||||
end
|
||||
|
||||
""" Calculate reduced stiffness matrix.
|
||||
mindofs: if dofs < mindofs, do not reduce
|
||||
"""
|
||||
function reduce(assembly::Assembly, boundary_dofs_::Vector{Int}, mindofs=100000)
|
||||
all_dofs = unique(assembly.stiffness_matrix.I)
|
||||
boundary_dofs = intersect(all_dofs, boundary_dofs_)
|
||||
interior_dofs = setdiff(all_dofs, boundary_dofs_)
|
||||
@@ -49,7 +64,7 @@ function reduce(assembly::Assembly, boundary_dofs_::Vector{Int})
|
||||
empty!(assembly.force_vector)
|
||||
gc()
|
||||
|
||||
if dim < 100000
|
||||
if dim < mindofs
|
||||
# no need to do any reduction of matrix size at all, just \ it.
|
||||
return CAssembly([], all_dofs, Matrix{Float64}(), K, f, spzeros(0, 0), spzeros(0,1))
|
||||
end
|
||||
@@ -108,7 +123,7 @@ function reduce(assembly::Assembly, boundary_dofs_::Vector{Int})
|
||||
end
|
||||
info("Reduction: ", round(k/chunks*100, 0), " % done")
|
||||
end
|
||||
|
||||
|
||||
Kc = spzeros(dim, dim)
|
||||
Kc[boundary_dofs, boundary_dofs] = Kbb - Kd
|
||||
=#
|
||||
|
||||
@@ -31,6 +31,8 @@ using ForwardDiff
|
||||
autodiffcache = ForwardDiffCache()
|
||||
# export derivative, jacobian, hessian
|
||||
|
||||
using JLD
|
||||
|
||||
""" Simple linspace extension to arrays.
|
||||
|
||||
Examples
|
||||
|
||||
+76
-242
@@ -3,6 +3,10 @@
|
||||
|
||||
## Direct solver
|
||||
|
||||
using JuliaFEM
|
||||
@everywhere using JuliaFEM
|
||||
@everywhere assemble = JuliaFEM.Core.assemble
|
||||
|
||||
type DirectSolver <: Solver
|
||||
field_problems :: Vector{Problem}
|
||||
boundary_problems :: Vector{BoundaryProblem}
|
||||
@@ -10,6 +14,22 @@ type DirectSolver <: Solver
|
||||
nonlinear_problem :: Bool
|
||||
max_iterations :: Int64
|
||||
tol :: Float64
|
||||
dump_matrices :: Bool
|
||||
reduce_stiffness_matrix :: Bool
|
||||
end
|
||||
|
||||
""" Default initializer. """
|
||||
function DirectSolver()
|
||||
DirectSolver(
|
||||
[], # field problems
|
||||
[], # boundary problems
|
||||
false, # parallel run?
|
||||
true, # nonlinear problem?
|
||||
10, # max nonlinear iterations
|
||||
1.0e-6, # convergence tolerance
|
||||
false, # dump matrices
|
||||
true # reduce stiffness matrix
|
||||
)
|
||||
end
|
||||
|
||||
function push!(solver::DirectSolver, problem::Problem)
|
||||
@@ -20,11 +40,6 @@ function push!(solver::DirectSolver, problem::BoundaryProblem)
|
||||
push!(solver.boundary_problems, problem)
|
||||
end
|
||||
|
||||
""" Default initializer. """
|
||||
function DirectSolver()
|
||||
DirectSolver([], [], false, true, 10, 1.0e-6)
|
||||
end
|
||||
|
||||
function tic(timing, what::ASCIIString)
|
||||
timing[what * " start"] = time()
|
||||
end
|
||||
@@ -37,205 +52,12 @@ function time_elapsed(timing, what::ASCIIString)
|
||||
return timing[what * " finish"] - timing[what * " start"]
|
||||
end
|
||||
|
||||
""" Call solver to solve a set of problems. """
|
||||
function call(solver::DirectSolver, ::Type{Val{:noreduce}}, time::Number=0.0)
|
||||
#@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
|
||||
|
||||
timing = Dict{ASCIIString, Float64}()
|
||||
tic(timing, "solver")
|
||||
tic(timing, "initialization")
|
||||
|
||||
# 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
|
||||
|
||||
# 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 element in get_elements(field_problem)
|
||||
gdofs = get_gdofs(element, field_dim)
|
||||
if haskey(element, field_name)
|
||||
if !isapprox(last(element[field_name]).time, time)
|
||||
last_data = copy(last(element[field_name]).data)
|
||||
push!(element[field_name], time => last_data)
|
||||
end
|
||||
else
|
||||
data = Vector{Float64}[zeros(field_dim) for i in 1:length(element)]
|
||||
element[field_name] = (time => data)
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
for boundary_problem in solver.boundary_problems
|
||||
for element in get_elements(boundary_problem)
|
||||
gdofs = get_gdofs(element, field_dim)
|
||||
data = Vector{Float64}[zeros(field_dim) for i in 1:length(element)]
|
||||
if haskey(element, "reaction force")
|
||||
if !isapprox(last(element["reaction force"]).time, time)
|
||||
push!(element["reaction force"], time => data)
|
||||
end
|
||||
else
|
||||
element["reaction force"] = (time => data)
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
toc(timing, "initialization")
|
||||
|
||||
dim = 0
|
||||
|
||||
for iter=1:solver.max_iterations
|
||||
info("Starting iteration $iter")
|
||||
tic(timing, "non-linear iteration")
|
||||
|
||||
mapper = solver.parallel ? pmap : map
|
||||
|
||||
info("Assembling problems.")
|
||||
# assemble boundary problems
|
||||
tic(timing, "boundary assembly")
|
||||
boundary_assembly = sum(mapper((p)->assemble(p, time), solver.boundary_problems))
|
||||
boundary_dofs = unique(boundary_assembly.stiffness_matrix.I)
|
||||
# boundary_dofs = collect(range(1, 12))
|
||||
info("# of interface dofs: $(length(boundary_dofs))")
|
||||
#info("dofs = $boundary_dofs")
|
||||
toc(timing, "boundary assembly")
|
||||
|
||||
#static_condensation = false
|
||||
|
||||
# assemble field problems
|
||||
dim = 0
|
||||
assemblies = []
|
||||
for (i, problem) in enumerate(solver.field_problems)
|
||||
tic(timing, "field assembly")
|
||||
field_assembly = assemble(problem, time)
|
||||
#info("full assembly body $i")
|
||||
#info(round(full(field_assembly.stiffness_matrix), 3))
|
||||
toc(timing, "field assembly")
|
||||
field_dofs = unique(field_assembly.stiffness_matrix.I)
|
||||
#info("# of dofs in problem $i: $(length(field_dofs))")
|
||||
dim = maximum([dim, maximum(field_dofs)])
|
||||
#tic(timing, "condensate")
|
||||
#cfield_assembly = condensate(field_assembly, boundary_dofs)
|
||||
#toc(timing, "condensate")
|
||||
#push!(assemblies, cfield_assembly)
|
||||
push!(assemblies, field_assembly)
|
||||
end
|
||||
|
||||
#info("dim = $dim")
|
||||
|
||||
#info("assembly done")
|
||||
tic(timing, "create sparse matrices")
|
||||
# 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)
|
||||
|
||||
K = spzeros(dim, dim)
|
||||
r = spzeros(dim, 1)
|
||||
|
||||
for (i, assembly) in enumerate(assemblies)
|
||||
#info("body $i")
|
||||
#info(round(full(assembly.Kc), 3))
|
||||
#resize!(assembly.stiffness_matrix, dim, dim)
|
||||
#resize!(assembly.force_vector, dim, 1)
|
||||
K += sparse(assembly.stiffness_matrix, dim, dim)
|
||||
r += sparse(assembly.force_vector, dim, 1)
|
||||
end
|
||||
#info(round(full(K), 3))
|
||||
|
||||
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]
|
||||
toc(timing, "create sparse matrices")
|
||||
#info("problem size = ", size(A))
|
||||
|
||||
info("Solving system")
|
||||
tic(timing, "solution of system")
|
||||
# solve increment for linearized problem
|
||||
nz = unique(rowvals(A)) # take only non-zero rows
|
||||
sol = zeros(length(b))
|
||||
sol[nz] = full(A[nz,nz]) \ full(b[nz])
|
||||
#info("solution vector before reconstruction")
|
||||
#info(full(sol)')
|
||||
la = sol[dim+1:end]
|
||||
#for assembly in assemblies
|
||||
# reconstruct!(assembly, sol)
|
||||
#end
|
||||
# la = vec(full(la))
|
||||
# sol = vec(full(sol))
|
||||
#info("la = ", la')
|
||||
#info("sol = ", sol')
|
||||
|
||||
info("solved. solution norm: $(norm(sol[1:dim]))")
|
||||
toc(timing, "solution of system")
|
||||
|
||||
info("Updating element data")
|
||||
tic(timing, "update element data")
|
||||
# update elements in field problems
|
||||
for field_problem in solver.field_problems
|
||||
for element in get_elements(field_problem)
|
||||
gdofs = get_gdofs(element, field_dim)
|
||||
local_sol = sol[gdofs] # incremental data for element
|
||||
local_sol = reshape(local_sol, field_dim, length(element))
|
||||
local_sol = Vector{Float64}[local_sol[:,i] for i=1:length(element)]
|
||||
last(element[field_name]).data += local_sol # <-- added
|
||||
end
|
||||
end
|
||||
|
||||
# update elements in boundary problems
|
||||
for boundary_problem in solver.boundary_problems
|
||||
for element in get_elements(boundary_problem)
|
||||
gdofs = get_gdofs(element, field_dim)
|
||||
local_sol = la[gdofs]
|
||||
local_sol = reshape(local_sol, field_dim, length(element))
|
||||
local_sol = Vector{Float64}[local_sol[:,i] for i=1:length(element)]
|
||||
last(element["reaction force"]).data = local_sol # <-- replaced
|
||||
end
|
||||
end
|
||||
toc(timing, "update element data")
|
||||
toc(timing, "non-linear iteration")
|
||||
|
||||
if true
|
||||
info("timing info for non-linear iteration:")
|
||||
info("boundary assembly : ", time_elapsed(timing, "boundary assembly"))
|
||||
info("field assembly : ", time_elapsed(timing, "field assembly"))
|
||||
# info("condensate : ", time_elapsed(timing, "condensate"))
|
||||
info("create sparse matrices : ", time_elapsed(timing, "create sparse matrices"))
|
||||
info("solution of system : ", time_elapsed(timing, "solution of system"))
|
||||
info("update element data : ", time_elapsed(timing, "update element data"))
|
||||
info("non-linear iteration : ", time_elapsed(timing, "non-linear iteration"))
|
||||
end
|
||||
|
||||
if norm(sol[1:dim]) < solver.tol
|
||||
toc(timing, "solver")
|
||||
info("solver finished in ", time_elapsed(timing, "solver"), " seconds.")
|
||||
return (iter, true)
|
||||
end
|
||||
|
||||
end
|
||||
|
||||
info("Warning: did not coverge in $(solver.max_iterations) iterations!")
|
||||
return (solver.max_iterations, false)
|
||||
|
||||
end
|
||||
|
||||
|
||||
""" Call solver to solve a set of problems. """
|
||||
function call(solver::DirectSolver, time::Number=0.0)
|
||||
info("# of field problems: $(length(solver.field_problems))")
|
||||
info("# of boundary problems: $(length(solver.boundary_problems))")
|
||||
@assert solver.nonlinear_problem == true
|
||||
|
||||
|
||||
timing = Dict{ASCIIString, Float64}()
|
||||
tic(timing, "solver")
|
||||
tic(timing, "initialization")
|
||||
@@ -296,6 +118,10 @@ function call(solver::DirectSolver, time::Number=0.0)
|
||||
boundary_assembly = sum(mapper((p)->assemble(p, time), solver.boundary_problems))
|
||||
boundary_dofs = unique(boundary_assembly.stiffness_matrix.I)
|
||||
info("# of interface dofs: $(length(boundary_dofs))")
|
||||
C = sparse(boundary_assembly.stiffness_matrix)
|
||||
g = sparse(boundary_assembly.force_vector)
|
||||
boundary_assembly = nothing
|
||||
gc()
|
||||
toc(timing, "boundary assembly")
|
||||
|
||||
info("Assembling field problems...")
|
||||
@@ -303,20 +129,34 @@ function call(solver::DirectSolver, time::Number=0.0)
|
||||
assemblies = []
|
||||
for (i, problem) in enumerate(solver.field_problems)
|
||||
info("Assembling body $i...")
|
||||
|
||||
tic(timing, "field assembly")
|
||||
field_assembly = assemble(problem, time)
|
||||
nchunks = length(workers())
|
||||
ne = length(get_elements(problem))
|
||||
kk = round(Int, collect(linspace(0, ne, nchunks+1)))
|
||||
slices = [kk[j]+1:kk[j+1] for j=1:length(kk)-1]
|
||||
field_assembly = sum(pmap((s) -> assemble(problem, s, time), slices))
|
||||
|
||||
#field_assembly = assemble(problem, time)
|
||||
toc(timing, "field assembly")
|
||||
|
||||
field_dofs = unique(field_assembly.stiffness_matrix.I)
|
||||
info("# of dofs in problem $i: $(length(field_dofs))")
|
||||
info("Eliminating interior dofs for body $i...")
|
||||
dim = maximum([dim, maximum(field_dofs)])
|
||||
tic(timing, "condensate")
|
||||
cfield_assembly = reduce(field_assembly, boundary_dofs)
|
||||
toc(timing, "condensate")
|
||||
tic(timing, "reduce stiffness matrix")
|
||||
cfield_assembly = nothing
|
||||
if solver.reduce_stiffness_matrix && (nnz(boundary) != 0)
|
||||
info("Eliminating interior dofs for body $i...")
|
||||
cfield_assembly = reduce(field_assembly, boundary_dofs)
|
||||
else
|
||||
cfield_assembly = reduce(field_assembly, boundary_dofs, Inf)
|
||||
end
|
||||
toc(timing, "reduce stiffness matrix")
|
||||
push!(assemblies, cfield_assembly)
|
||||
end
|
||||
|
||||
tic(timing, "create sparse matrices")
|
||||
|
||||
K = spzeros(dim, dim)
|
||||
f = spzeros(dim, 1)
|
||||
|
||||
@@ -327,45 +167,37 @@ function call(solver::DirectSolver, time::Number=0.0)
|
||||
f += assembly.fc
|
||||
end
|
||||
|
||||
C = sparse(boundary_assembly.stiffness_matrix, dim, dim)
|
||||
g = sparse(boundary_assembly.force_vector, dim, 1)
|
||||
A = [K C'; C spzeros(dim, dim)]
|
||||
b = [f; g]
|
||||
resize!(C, dim, dim)
|
||||
resize!(g, dim, 1)
|
||||
toc(timing, "create sparse matrices")
|
||||
|
||||
info("Solving interface system")
|
||||
tic(timing, "solution of system")
|
||||
nz = sort(unique(rowvals(A))) # take only non-zero rows
|
||||
sol = zeros(b)
|
||||
sol[nz] = A[nz,nz] \ full(b[nz])
|
||||
toc(timing, "solution of system")
|
||||
|
||||
#=
|
||||
try
|
||||
catch
|
||||
dump(round(full(A[nz,nz]), 3))
|
||||
dump(round(full(b[nz]'), 3))
|
||||
for (i, assembly) in enumerate(assemblies)
|
||||
info("assembly $i dump")
|
||||
dump(round(full(assembly.Kc), 3))
|
||||
dump(round(full(assembly.fc), 3)')
|
||||
end
|
||||
info("matrix K")
|
||||
dump(round(full(K), 3))
|
||||
info("interface matrix")
|
||||
dump(round(full(C), 3))
|
||||
info("final assembly to solve:")
|
||||
dump(round(full(A), 3))
|
||||
dump(round(full(b'), 3))
|
||||
info("nonzero dofs: $nz")
|
||||
info("nonzero dofs removed:")
|
||||
dump(round(full(A[nz,nz]), 3))
|
||||
dump(round(full(b[nz]'), 3))
|
||||
detsys = det(A[nz,nz])
|
||||
info("determinant of system: $detsys")
|
||||
error("Solving system failed.")
|
||||
tic(timing, "dump matrices to disk")
|
||||
if solver.dump_matrices
|
||||
save("host_$(myid())_iteration_$(iter)_matrices.jld",
|
||||
"stiffness matrix", K, "force vector", f,
|
||||
"constraint matrix lhs", C, "constraint matrix rhs", g)
|
||||
end
|
||||
=#
|
||||
toc(timing, "dump matrices to disk")
|
||||
|
||||
all_dofs = sort(unique(rowvals(K)))
|
||||
field_dofs = setdiff(all_dofs, boundary_dofs)
|
||||
|
||||
info("Solving system")
|
||||
tic(timing, "solution of system")
|
||||
sol = zeros(2*dim)
|
||||
if nnz(g) != 0
|
||||
A = [K C'; C spzeros(dim, dim)]
|
||||
b = [f; g]
|
||||
K = 0
|
||||
C = 0
|
||||
gc()
|
||||
nz = sort(unique(rowvals(A))) # take only non-zero rows
|
||||
sol[nz] = A[nz,nz] \ full(b[nz])
|
||||
else
|
||||
K = 1/2*(K + K')
|
||||
sol[field_dofs] = cholfact(K[field_dofs, field_dofs]) \ f[field_dofs]
|
||||
end
|
||||
toc(timing, "solution of system")
|
||||
|
||||
info("Solved, calculating interior dofs...")
|
||||
tic(timing, "back substitute")
|
||||
@@ -410,9 +242,11 @@ function call(solver::DirectSolver, time::Number=0.0)
|
||||
info("timing info for non-linear iteration:")
|
||||
info("boundary assembly : ", time_elapsed(timing, "boundary assembly"))
|
||||
info("field assembly : ", time_elapsed(timing, "field assembly"))
|
||||
info("reduce stiffness matrix : ", time_elapsed(timing, "condensate"))
|
||||
info("reduce stiffness matrix : ", time_elapsed(timing, "reduce stiffness matrix"))
|
||||
info("create sparse matrices : ", time_elapsed(timing, "create sparse matrices"))
|
||||
info("solution of system : ", time_elapsed(timing, "solution of system"))
|
||||
info("dump matrices to disk : ", time_elapsed(timing, "dump matrices to disk"))
|
||||
info("solve problem : ", time_elapsed(timing, "solution of system"))
|
||||
info("back substitute : ", time_elapsed(timing, "back substitute"))
|
||||
info("update element data : ", time_elapsed(timing, "update element data"))
|
||||
info("non-linear iteration : ", time_elapsed(timing, "non-linear iteration"))
|
||||
end
|
||||
|
||||
+1
-1
@@ -42,7 +42,7 @@ References
|
||||
https://en.wikipedia.org/wiki/Heat_equation
|
||||
|
||||
"""
|
||||
function assemble!{E<:CG}(assembly::Assembly, problem::Problem{HeatProblem}, element::Element{E}, time::Number)
|
||||
function assemble!(assembly::Assembly, problem::Problem{HeatProblem}, element::Element, time::Number)
|
||||
|
||||
gdofs = get_gdofs(element, problem.dim)
|
||||
for ip in get_integration_points(element)
|
||||
|
||||
@@ -10,6 +10,8 @@ type SparseMatrixIJV
|
||||
V :: Vector{Float64}
|
||||
end
|
||||
|
||||
typealias SparseMatrixCOO SparseMatrixIJV
|
||||
|
||||
function SparseMatrixIJV()
|
||||
SparseMatrixIJV([], [], [])
|
||||
end
|
||||
@@ -89,3 +91,8 @@ function add!(A::SparseMatrixIJV, dofs::Vector{Int}, data::Array{Float64})
|
||||
append!(A.V, vec(data))
|
||||
end
|
||||
|
||||
function optimize!(A::SparseMatrixIJV)
|
||||
I, J, V = findnz(sparse(A))
|
||||
A = SparseMatrixCOO(I, J, V)
|
||||
gc()
|
||||
end
|
||||
|
||||
Reference in New Issue
Block a user