Shock capturing viscosities for the general fluid mechanics algorithm

The performance of different shock capturing viscosities has been examined using our general fluid mechanics algorithm. Four different schemes have be en tested, both for viscous and inviscid compressible flow problems. Result s show that the methods based on the second gradient of pressure give bette r performance in all situations. For instance, the method constructed from the nodal pressure values and consistent and lumped mass matrices is an exc ellent choice for inviscid problems. The method based on L-2 projection is better than any other method in viscous flow computations. The residual bas ed anisotropic method gives excellent performance in the supersonic range a nd gives better results in the hypersonic regime if a small amount of resid ual smoothing is used. (C) 1998 John Wiley & Sons, Ltd.