Improved gaskinetic multigrid method for three-dimensional computation of viscous flow
In this paper we build on the framework of the gas-kinetic BGK method with the aim to develop an industrial strength flow solver on arbitrary meshes. To that end we present a modified, more efficient formulation of the BGK scheme, to reduce the extreme cost of gas-kinetic flux computations. For three-dimensional flow the modified BGK scheme is significantly less expensive compared to previously published formulations, and also improves the behavior on anisotropic, stretched unstructured meshes. We address issues related to the algorithmic implementation such as multigrid and time stepping, and demonstrate that convergence characteristics competitive with conventional, highly tuned codes can be achieved, in particular when used with the nonlinear SGS method. We also address the extension to turbulent flow. © 2005 by the authors.
