Link to the source code for this example:
Open systems_of_equations_ex2 in new tab.
The console output of the program:
***************************************************************
* Running Example systems_of_equations_ex2:
* example-opt
***************************************************************
Mesh Information:
elem_dimensions()={2}
spatial_dimension()=2
n_nodes()=1681
n_local_nodes()=1681
n_elem()=400
n_local_elem()=400
n_active_elem()=400
n_subdomains()=1
n_partitions()=1
n_processors()=1
n_threads()=1
processor_id()=0
EquationSystems
n_systems()=1
System #0, "Navier-Stokes"
Type "TransientLinearImplicit"
Variables={ "u" "v" } "p"
Finite Element Types="LAGRANGE", "JACOBI_20_00" "LAGRANGE", "JACOBI_20_00"
Infinite Element Mapping="CARTESIAN" "CARTESIAN"
Approximation Orders="SECOND", "THIRD" "FIRST", "THIRD"
n_dofs()=3803
n_local_dofs()=3803
n_constrained_dofs()=0
n_local_constrained_dofs()=0
n_vectors()=3
n_matrices()=1
DofMap Sparsity
Average On-Processor Bandwidth <= 38.9716
Average Off-Processor Bandwidth <= 0
Maximum On-Processor Bandwidth <= 59
Maximum Off-Processor Bandwidth <= 0
DofMap Constraints
Number of DoF Constraints = 0
*** Solving time step 0, time = 0.01 ***
Linear solver converged at step: 236, final residual: 0.000214866 Nonlinear convergence: ||u - u_old|| = 282.453
Linear solver converged at step: 90, final residual: 9.23274e-06 Nonlinear convergence: ||u - u_old|| = 0.743958
Linear solver converged at step: 250, final residual: 8.01557e-07 Nonlinear convergence: ||u - u_old|| = 0.0129303
Linear solver converged at step: 250, final residual: 1.29901e-09 Nonlinear convergence: ||u - u_old|| = 0.00156519
Linear solver converged at step: 250, final residual: 1.81135e-11 Nonlinear convergence: ||u - u_old|| = 1.9347e-06
Nonlinear solver converged at step 4
*** Solving time step 1, time = 0.02 ***
Linear solver converged at step: 235, final residual: 0.000218713 Nonlinear convergence: ||u - u_old|| = 30.6378
Linear solver converged at step: 178, final residual: 1.06626e-05 Nonlinear convergence: ||u - u_old|| = 0.372807
Linear solver converged at step: 250, final residual: 5.32852e-08 Nonlinear convergence: ||u - u_old|| = 0.00603164
Linear solver converged at step: 250, final residual: 2.90971e-11 Nonlinear convergence: ||u - u_old|| = 0.000105181
Nonlinear solver converged at step 3
*** Solving time step 2, time = 0.03 ***
Linear solver converged at step: 76, final residual: 0.00022519 Nonlinear convergence: ||u - u_old|| = 6.00785
Linear solver converged at step: 120, final residual: 1.02696e-05 Nonlinear convergence: ||u - u_old|| = 0.251248
Linear solver converged at step: 250, final residual: 8.05847e-07 Nonlinear convergence: ||u - u_old|| = 0.0163508
Linear solver converged at step: 250, final residual: 1.04342e-09 Nonlinear convergence: ||u - u_old|| = 0.00110321
Linear solver converged at step: 250, final residual: 1.07596e-10 Nonlinear convergence: ||u - u_old|| = 1.43612e-06
Nonlinear solver converged at step 4
*** Solving time step 3, time = 0.04 ***
Linear solver converged at step: 72, final residual: 0.000219168 Nonlinear convergence: ||u - u_old|| = 2.18001
Linear solver converged at step: 107, final residual: 1.06522e-05 Nonlinear convergence: ||u - u_old|| = 0.26029
Linear solver converged at step: 250, final residual: 6.45964e-07 Nonlinear convergence: ||u - u_old|| = 0.0170193
Linear solver converged at step: 250, final residual: 3.95146e-09 Nonlinear convergence: ||u - u_old|| = 0.00105789
Linear solver converged at step: 250, final residual: 1.25745e-12 Nonlinear convergence: ||u - u_old|| = 4.47682e-06
Nonlinear solver converged at step 4
*** Solving time step 4, time = 0.05 ***
Linear solver converged at step: 57, final residual: 0.00022426 Nonlinear convergence: ||u - u_old|| = 0.988783
Linear solver converged at step: 168, final residual: 1.09441e-05 Nonlinear convergence: ||u - u_old|| = 0.16081
Linear solver converged at step: 250, final residual: 9.82019e-07 Nonlinear convergence: ||u - u_old|| = 0.0129089
Linear solver converged at step: 250, final residual: 3.29125e-10 Nonlinear convergence: ||u - u_old|| = 0.00147557
Linear solver converged at step: 250, final residual: 1.37699e-11 Nonlinear convergence: ||u - u_old|| = 6.01585e-07
Nonlinear solver converged at step 4
*** Solving time step 5, time = 0.06 ***
Linear solver converged at step: 52, final residual: 0.000214357 Nonlinear convergence: ||u - u_old|| = 0.476249
Linear solver converged at step: 172, final residual: 9.66487e-06 Nonlinear convergence: ||u - u_old|| = 0.203206
Linear solver converged at step: 250, final residual: 3.16979e-08 Nonlinear convergence: ||u - u_old|| = 0.0169568
Linear solver converged at step: 250, final residual: 1.94227e-09 Nonlinear convergence: ||u - u_old|| = 5.01869e-05
Nonlinear solver converged at step 3
*** Solving time step 6, time = 0.07 ***
Linear solver converged at step: 22, final residual: 0.000212706 Nonlinear convergence: ||u - u_old|| = 0.256589
Linear solver converged at step: 127, final residual: 9.96381e-06 Nonlinear convergence: ||u - u_old|| = 0.152875
Linear solver converged at step: 250, final residual: 9.83166e-08 Nonlinear convergence: ||u - u_old|| = 0.00946214
Linear solver converged at step: 250, final residual: 8.34252e-10 Nonlinear convergence: ||u - u_old|| = 0.000133858
Nonlinear solver converged at step 3
*** Solving time step 7, time = 0.08 ***
Linear solver converged at step: 19, final residual: 0.00019437 Nonlinear convergence: ||u - u_old|| = 0.152024
Linear solver converged at step: 59, final residual: 6.54079e-06 Nonlinear convergence: ||u - u_old|| = 0.0858625
Linear solver converged at step: 227, final residual: 6.54855e-09 Nonlinear convergence: ||u - u_old|| = 0.00281105
Linear solver converged at step: 239, final residual: 8.61149e-15 Nonlinear convergence: ||u - u_old|| = 3.58207e-07
Nonlinear solver converged at step 3
*** Solving time step 8, time = 0.09 ***
Linear solver converged at step: 15, final residual: 0.000203605 Nonlinear convergence: ||u - u_old|| = 0.0866795
Linear solver converged at step: 119, final residual: 8.87784e-06 Nonlinear convergence: ||u - u_old|| = 0.0418116
Linear solver converged at step: 236, final residual: 1.77583e-08 Nonlinear convergence: ||u - u_old|| = 0.0068032
Linear solver converged at step: 250, final residual: 7.6203e-11 Nonlinear convergence: ||u - u_old|| = 2.37763e-05
Nonlinear solver converged at step 3
*** Solving time step 9, time = 0.1 ***
Linear solver converged at step: 11, final residual: 0.000219903 Nonlinear convergence: ||u - u_old|| = 0.0505947
Linear solver converged at step: 70, final residual: 1.08505e-05 Nonlinear convergence: ||u - u_old|| = 0.0181966
Linear solver converged at step: 250, final residual: 4.55109e-08 Nonlinear convergence: ||u - u_old|| = 0.0127983
Linear solver converged at step: 250, final residual: 8.00529e-11 Nonlinear convergence: ||u - u_old|| = 7.19859e-05
Nonlinear solver converged at step 3
*** Solving time step 10, time = 0.11 ***
Linear solver converged at step: 11, final residual: 0.000139303 Nonlinear convergence: ||u - u_old|| = 0.0322426
Linear solver converged at step: 105, final residual: 4.32521e-06 Nonlinear convergence: ||u - u_old|| = 0.012634
Linear solver converged at step: 229, final residual: 4.15933e-09 Nonlinear convergence: ||u - u_old|| = 0.00578586
Linear solver converged at step: 250, final residual: 4.24343e-11 Nonlinear convergence: ||u - u_old|| = 7.01804e-06
Nonlinear solver converged at step 3
*** Solving time step 11, time = 0.12 ***
Linear solver converged at step: 10, final residual: 0.000145762 Nonlinear convergence: ||u - u_old|| = 0.020515
Linear solver converged at step: 48, final residual: 4.72567e-06 Nonlinear convergence: ||u - u_old|| = 0.00781656
Linear solver converged at step: 250, final residual: 3.20806e-08 Nonlinear convergence: ||u - u_old|| = 0.00687872
Linear solver converged at step: 250, final residual: 1.55861e-10 Nonlinear convergence: ||u - u_old|| = 4.04035e-05
Nonlinear solver converged at step 3
*** Solving time step 12, time = 0.13 ***
Linear solver converged at step: 10, final residual: 9.33348e-05 Nonlinear convergence: ||u - u_old|| = 0.0136033
Linear solver converged at step: 67, final residual: 1.95952e-06 Nonlinear convergence: ||u - u_old|| = 0.00578775
Linear solver converged at step: 250, final residual: 2.69457e-08 Nonlinear convergence: ||u - u_old|| = 0.00252266
Linear solver converged at step: 250, final residual: 2.49022e-10 Nonlinear convergence: ||u - u_old|| = 4.23675e-05
Nonlinear solver converged at step 3
*** Solving time step 13, time = 0.14 ***
Linear solver converged at step: 9, final residual: 0.00015015 Nonlinear convergence: ||u - u_old|| = 0.00909494
Linear solver converged at step: 19, final residual: 3.93378e-06 Nonlinear convergence: ||u - u_old|| = 0.00478245
Linear solver converged at step: 250, final residual: 7.99254e-09 Nonlinear convergence: ||u - u_old|| = 0.00217195
Linear solver converged at step: 250, final residual: 1.58995e-09 Nonlinear convergence: ||u - u_old|| = 9.28168e-06
Nonlinear solver converged at step 3
*** Solving time step 14, time = 0.15 ***
Linear solver converged at step: 8, final residual: 0.000160079 Nonlinear convergence: ||u - u_old|| = 0.00592993
Linear solver converged at step: 17, final residual: 5.46766e-06 Nonlinear convergence: ||u - u_old|| = 0.0036996
Linear solver converged at step: 250, final residual: 1.09116e-08 Nonlinear convergence: ||u - u_old|| = 0.00118612
Linear solver converged at step: 250, final residual: 2.13422e-11 Nonlinear convergence: ||u - u_old|| = 1.57131e-05
Nonlinear solver converged at step 3
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| Time: Wed Apr 13 09:57:30 2016 |
| OS: Darwin |
| HostName: peterson-laptop.local |
| OS Release: 15.0.0 |
| OS Version: Darwin Kernel Version 15.0.0: Sat Sep 19 15:53:46 PDT 2015; root:xnu-3247.10.11~1/RELEASE_X86_64 |
| Machine: x86_64 |
| Username: petejw |
| Configuration: ../configure 'INSTALL=/usr/bin/install -C' |
| '--with-methods=opt dbg' |
| '--prefix=/Users/petejw/projects/libmesh_git/installed' |
| '--enable-perflog' |
| '--enable-tracefiles' |
| '--disable-blocked-storage' |
| '--enable-default-comm-world' |
| '--enable-tecio' |
| '--enable-unique-ptr' |
| '--enable-ifem' |
| 'PETSC_DIR=/opt/moose/petsc/mpich_petsc-3.6.1/clang-opt-superlu' |
| 'SLEPC_DIR=/opt/petejw/slepc/3.6.1' |
| 'CPPFLAGS= ' |
| 'LIBS= ' |
| 'CPPFLAGS= ' |
| 'LIBS= ' |
| '--disable-netcdf-4' |
| '--disable-testsets' |
| 'CXX=mpicxx' |
| 'CC=mpicc' |
| 'F77=mpif77' |
| 'FC=mpif90' |
| 'CPPFLAGS= ' |
| 'LIBS= ' |
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------------------------------------------------------------------------------------------------------------
| Systems Example 2 Performance: Alive time=3.82638, Active time=3.77428 |
------------------------------------------------------------------------------------------------------------
| Event nCalls Total Time Avg Time Total Time Avg Time % of Active Time |
| w/o Sub w/o Sub With Sub With Sub w/o S With S |
|------------------------------------------------------------------------------------------------------------|
| |
| linear solve 64 3.7743 0.058973 3.7743 0.058973 100.00 100.00 |
------------------------------------------------------------------------------------------------------------
| Totals: 64 3.7743 100.00 |
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| libMesh Performance: Alive time=4.19057, Active time=3.80747 |
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| Event nCalls Total Time Avg Time Total Time Avg Time % of Active Time |
| w/o Sub w/o Sub With Sub With Sub w/o S With S |
|-----------------------------------------------------------------------------------------------------------------|
| |
| |
| DofMap |
| add_neighbors_to_send_list() 1 0.0003 0.000261 0.0003 0.000261 0.01 0.01 |
| build_sparsity() 1 0.0036 0.003647 0.0039 0.003943 0.10 0.10 |
| create_dof_constraints() 1 0.0001 0.000078 0.0001 0.000078 0.00 0.00 |
| distribute_dofs() 1 0.0004 0.000372 0.0016 0.001622 0.01 0.04 |
| dof_indices() 120800 0.0350 0.000000 0.0350 0.000000 0.92 0.92 |
| prepare_send_list() 2 0.0000 0.000000 0.0000 0.000000 0.00 0.00 |
| reinit() 1 0.0013 0.001250 0.0013 0.001250 0.03 0.03 |
| |
| EquationSystems |
| build_solution_vector() 15 0.0145 0.000963 0.0200 0.001335 0.38 0.53 |
| |
| ExodusII_IO |
| write_nodal_data() 15 0.0242 0.001611 0.0242 0.001611 0.63 0.63 |
| |
| FE |
| compute_shape_functions() 51200 0.0739 0.000001 0.0739 0.000001 1.94 1.94 |
| init_shape_functions() 128 0.0006 0.000004 0.0006 0.000004 0.01 0.01 |
| |
| FEMap |
| compute_affine_map() 51200 0.0387 0.000001 0.0387 0.000001 1.02 1.02 |
| init_reference_to_physical_map() 128 0.0012 0.000010 0.0012 0.000010 0.03 0.03 |
| |
| Mesh |
| all_second_order() 1 0.0016 0.001593 0.0016 0.001593 0.04 0.04 |
| find_neighbors() 2 0.0022 0.001080 0.0022 0.001080 0.06 0.06 |
| renumber_nodes_and_elem() 4 0.0001 0.000017 0.0001 0.000017 0.00 0.00 |
| |
| MeshOutput |
| write_equation_systems() 15 0.0002 0.000011 0.0444 0.002957 0.00 1.17 |
| |
| MeshTools::Generation |
| build_cube() 1 0.0012 0.001223 0.0012 0.001223 0.03 0.03 |
| |
| Parallel |
| allgather() 1 0.0000 0.000000 0.0000 0.000000 0.00 0.00 |
| |
| Partitioner |
| single_partition() 2 0.0001 0.000034 0.0001 0.000034 0.00 0.00 |
| |
| PetscLinearSolver |
| solve() 64 2.9896 0.046713 2.9896 0.046713 78.52 78.52 |
| |
| System |
| assemble() 64 0.6190 0.009672 0.7807 0.012199 16.26 20.50 |
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| Totals: 223647 3.8075 100.00 |
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***************************************************************
* Done Running Example systems_of_equations_ex2:
* example-opt
***************************************************************