Application of Roe's Flux-Difference Splitting for kappa-epsilon Turbulence Model

摘要

In the paper Roe's flux-difference splitting is applied for the solution ofReynolds-averaged Navier-Stokes equations. Turbulence is modeled using a low-Reynolds number form of the K-epsilon turbulence model. The coupling between the turbulence kinetic energy equation and the inviscid part of the flow equations is taken into account. The equations are solved with a DDADI-factorized implicit time integration method. A multigrid algorithm is used to accelerate the convergence. To improve the stability some modifications are needed in comparison with the application of an algebraic turbulence model. The developed method is applied to three different test cases. These cases show the efficiency of the algorithm, but the results are only marginally better than those obtained with algebraic models.