find an equilibrium, traveling wave, periodic orbit, or relative periodic orbit of plane Couette or channel flow, using a Newton-Krylov-hookstep search algorithm.
-eqb --equilibrium search for equilibrium or relative equilibrium (trav wave) -orb --periodicorbit search for periodic orbit or relative periodic orbit -xrel --xrelative search over x phase shift for relative orbit or eqb -zrel --zrelative search over z phase shift for relative orbit or eqb -T --maptime <real> default == 20 initial guess for orbit period or time of eqb/reqb map f^T(u) -R --Reynolds <real> default == 400 Reynolds number -sigma --sigma <string> file containing symmetry of relative solution (default == identity) -symms --symmetries <string> file containing generators of isotropy group for symmetry-constrained search ... -o --outdir <string> default == ./ output directory -log --logfile <string> default == stdout output log (filename or "stdout") <flowfield> (trailing arg 1) initial guess for solution
findsoln finds solutions of σ f^T(u) - u = 0 where f^T is the time-T forward map of the Navier-Stokes equations plus boundary conditions and σ is a symmetry of the flow. This equation has several kinds of solutions
You specify which kind of solution to find by telling the search algorithm which variables to treat as unknowns, with the
-eqb, -orb, -xrel, -zrel options. The
-eqb option specifies that T is held fixed; the
-orb option specifies that is unknown. The
-zrel options specifying that the x and z phase shifts in σ are unknown. The appropriate combinations for each solution type are best shown by example.
|traveling wave in x|
|traveling wave in x,z|
|traveling wave in z with an initial guess for wavespeed|
|periodic orbit with initial guess for period T|
|relative periodic orbit with phase shift in x|