Marcel Wallraff, Tobias Leicht and Markus Lange-Hegermann Numerical flux functions for Reynolds-averaged Navier–Stokes and kω turbulence model computations with a line-preconditioned p-multigrid discontinuous Galerkin solver International Journal for Numerical Methods in Fluids 71
Several approximate Riemann solvers are formulated using an eigen-decomposition of the convective flux of the completely coupled Reynolds-averaged Navier-Stokes and kω turbulence model equations. The effect of the different strategies on the solution accuracy within a discontinuous Galerkin discretization is investigated with numerical examples. In this context of turbulent flow, a p-multigrid framework with a backward-Euler smoother using line-implicit preconditioning is demonstrated to be less effective than might be expected from recent findings by other authors.
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