Add Runge-Kutta time-integration schemes - Githubissues

xcompact3d / x3d2

https://xcompact3d.github.io/x3d2

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Add Runge-Kutta time-integration schemes #94

Closed CFD-Xing closed 5 months ago

CFD-Xing commented 6 months ago

This PR implements Runge-Kutta schemes from order 1 to 4.

The default time-stepping approach is set to AB3.

All schemes (AB1 to AB4 and RK1 to RK4) have been validated for the Dahlquist equation.

For the TGV case, this PR has been tested with RK3 with the following result

enstrophy

TODO:

Validate order of convergence for Navier-Stokes for RK1 to RK4 and AB1 to AB4.
Generalize the time stepping API for arbitrary numbers of variable (currently only working for u, v, and w)

semi-h commented 6 months ago

@CFD-Xing can you do a rebase please? It'll help for reviewing the RK related stuff.