examples/drivencavity-compatible.py

nelems=12 Number of elements along edge.
degree=2 Polynomial degree for velocity; the pressure space is one degree less.
reynolds=1000 Reynolds number, taking the domain size as characteristic length.

stokes

topology 1/2

integrating 1+4 distinct blocks

topology 2/2

integrating 1+3 distinct blocks

solve

solving 482 dof system to machine precision using direct solver

refinement iteration 1

residual decreased to 2e-17

refinement iteration 2

residual increased to 2e-17 (discarding)

solver returned with residual 2e-17

topology 1/1

integrating 1 distinct blocks

velocity divergence: 2.58e-16

optimize

topology 1/1

integrating 1+1+1 distinct blocks

solve

solving 624 dof system to machine precision using direct solver

refinement iteration 1

residual decreased to 3e-16

refinement iteration 2

residual increased to 3e-16 (discarding)

solver returned with residual 3e-16

optimum value 4.16e-17

flow.png

navierstokes

newton

topology 1/3

integrating 1+4 distinct blocks

topology 2/3

integrating 1+3 distinct blocks

topology 3/3

integrating 1+2 distinct blocks

newton 0%

solve

solving 482 dof system to tolerance 3e-05 using direct solver

solver returned with residual 1e-16

topology 1/3

integrating 1+4 distinct blocks

topology 2/3

integrating 1+3 distinct blocks

topology 3/3

integrating 1+2 distinct blocks

estimated residual minimum at 44% of update vector

topology 1/3

integrating 1+4 distinct blocks

topology 2/3

integrating 1+3 distinct blocks

topology 3/3

integrating 1+2 distinct blocks

estimated residual minimum at 94% of update vector

update accepted at relaxation 0.43908

newton 2%

solve

solving 482 dof system to tolerance 2e-05 using direct solver

solver returned with residual 2e-16

topology 1/3

integrating 1+4 distinct blocks

topology 2/3

integrating 1+3 distinct blocks

topology 3/3

integrating 1+2 distinct blocks

estimated residual minimum at 63% of update vector

topology 1/3

integrating 1+4 distinct blocks

topology 2/3

integrating 1+3 distinct blocks

topology 3/3

integrating 1+2 distinct blocks

estimated residual minimum at 103% of update vector

update accepted at relaxation 0.26181

newton 2%

solve

solving 482 dof system to tolerance 2e-05 using direct solver

solver returned with residual 8e-17

topology 1/3

integrating 1+4 distinct blocks

topology 2/3

integrating 1+3 distinct blocks

topology 3/3

integrating 1+2 distinct blocks

estimated residual minimum at 166% of update vector

update accepted at relaxation 0.2706

newton 4%

solve

solving 482 dof system to tolerance 2e-05 using direct solver

solver returned with residual 1e-16

topology 1/3

integrating 1+4 distinct blocks

topology 2/3

integrating 1+3 distinct blocks

topology 3/3

integrating 1+2 distinct blocks

estimated residual minimum at 132% of update vector

update accepted at relaxation 0.44991

newton 6%

solve

solving 482 dof system to tolerance 1e-05 using direct solver

solver returned with residual 1e-16

topology 1/3

integrating 1+4 distinct blocks

topology 2/3

integrating 1+3 distinct blocks

topology 3/3

integrating 1+2 distinct blocks

estimated residual minimum at 87% of update vector

update accepted at relaxation 0.59298

newton 8%

solve

solving 482 dof system to tolerance 7e-06 using direct solver

solver returned with residual 3e-17

topology 1/3

integrating 1+4 distinct blocks

topology 2/3

integrating 1+3 distinct blocks

topology 3/3

integrating 1+2 distinct blocks

estimated residual minimum at 172% of update vector

update accepted at relaxation 0.51535

newton 11%

solve

solving 482 dof system to tolerance 4e-06 using direct solver

solver returned with residual 1e-17

topology 1/3

integrating 1+4 distinct blocks

topology 2/3

integrating 1+3 distinct blocks

topology 3/3

integrating 1+2 distinct blocks

estimated residual minimum at 117% of update vector

update accepted at relaxation 0.88528

newton 21%

solve

solving 482 dof system to tolerance 6e-07 using direct solver

solver returned with residual 3e-18

topology 1/3

integrating 1+4 distinct blocks

topology 2/3

integrating 1+3 distinct blocks

topology 3/3

integrating 1+2 distinct blocks

estimated residual minimum at 100% of update vector

update accepted at relaxation 1

newton 50%

solve

solving 482 dof system to tolerance 2e-09 using direct solver

solver returned with residual 9e-21

topology 1/3

integrating 1+4 distinct blocks

topology 2/3

integrating 1+3 distinct blocks

topology 3/3

integrating 1+2 distinct blocks

estimated residual minimum at 100% of update vector

update accepted at relaxation 1

newton 94%

solve

solving 482 dof system to tolerance 3e-13 using direct solver

solver returned with residual 5e-25

topology 1/3

integrating 1+4 distinct blocks

topology 2/3

integrating 1+3 distinct blocks

topology 3/3

integrating 1+2 distinct blocks

estimated residual minimum at 100% of update vector

update accepted at relaxation 1

newton 100%

converged in 10 steps to residual 1.6e-17

topology 1/1

integrating 1 distinct blocks

velocity divergence: 2.24e-16

optimize

topology 1/1

integrating 1+1+1 distinct blocks

solve

solving 624 dof system to machine precision using direct solver

refinement iteration 1

residual decreased to 5e-16

refinement iteration 2

residual decreased to 4e-16

refinement iteration 3

residual decreased to 4e-16

refinement iteration 4

residual increased to 4e-16 (discarding)

solver returned with residual 4e-16

optimum value 5.55e-17

flow.png