On the Use of Nonlinear Filtering, Artificial Viscosity, and Artificial Heat Transfer for Strong Shock Computations

✍ Scribed by Song-Hyo Bae; Richard T Lahey Jr.

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 179 KB
• Volume: 153
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1999.6296

✦ Synopsis

A new artificial viscosity (Q) model, based on physical conservation corrections for momentum, and a new artificial heat transfer (H ) formulation are developed for the analysis of one-dimensional compressible fluid transients in plane, cylindrical, and spherical geometries. The accuracy of these formulations is verified against various benchmark shock tube problems. A Q-induced geometric error for cylindrical and spherical geometry is defined and the benefits of the Q formulation presented are demonstrated. It is also shown that these formulations can control the total variation of the solution and have superior shock-capturing capabilities. Comparisons are made with the original Q formulations of J.