I'm trying to use V3 to solve the incompressible Navier-Stokes equations on a rectangle with velocity=0 on all 4 walls. A test with a manufactured solution shows convergence except for pressure.
# N timestep err_u rate_u err_v rate_v err_p rate_p div rate_div
16 1.9e-06 3.6e-10 3.6e-10 7.9e+00 3.1e-17
32 4.9e-07 9.1e-11 2.0 9.1e-11 2.0 1.9e+02 -4.6 4.0e-16 -3.7
64 1.2e-07 2.2e-11 2.0 2.2e-11 2.0 1.1e-01 10.7 9.5e-18 5.4
Has anyone been successful with Chebyshev in both directions for the NSE. My script is attached.
Thanks,
Mike