Adaptive Grid Refinement and Sensors for the Euler Equations

Numerical Grid Generation in Computational Field Simulations, Ed. M. Cross., B. K. Soni, J. F. Thompson, J. Hauser, P. R. Eiseman, Proceedings of the 6th International Conference, held at the University of Greenwich, pp.381-390, July 1998

MESHING
RESEARCH
CORNER

Institut fur Aerodynamik und Gasdynamik
Universitat Stuttgart
70550 Stuttgart, Germany
jens@iag.uni-stuttgart.de

Abstract
This paper will discuss the results of an adaptive refinement in combination with several sensor types. As CFD solver, a true multidimensional upwind solver has been used, the so called Flux-Filter-Scheme [1][2]. The scheme can dissolve discontinuities in one or two cells, but needs little more computational effort than comparable flux vector splitting schemes. For this reason, an adaptive grid refinement was introduced to save computational time with a sharp resolution of discontinuities is still being guaranteed.

This scheme is available for structured and unstructured grids. A comparative study between these two application was presented in [3]. It was shown that the Flux-Filter-Scheme produces enthalpy errors only in local regions as e.g shocks or reflected discontinuities. Sensors basing on such errors have been tested, but did not lead to the goal to bring the residual error to the same level for the complete domain.