A NON-OSCILLATORY NO-FREE-PARAMETER FINITE ELEMENT AND ITS APPLICATIONS IN CDF

✍ Scribed by Yan Wang; Bing-Gang Tong; Gui-Qing Jiang; Xiao-Min Wang

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 374 KB
• Volume: 24
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(19970130)24:2<141::aid-fld483>3.0.co;2-h

✦ Synopsis

A non-oscillatory no-free-parameter finite element method (NNFEM) is presented based on the consideration of wave propagation characteristic in different characteristic directions across a strong discontinuity through flux vector splitting in order to satisfy the increasing entropy condition. The algorithm is analysed in detail for the one-dimensional (1D) Euler equation and then extended to the 2D, axisymmetric and 3D Euler and Navier-Stokes equations. Its applications in various cases-inviscid oblique shock wave reflection, flow over a forward step, axisymmetric free jet flow, supersonic flows over 2D and 3D rectangular cavities-are given. These computational results show that the present NNFEM is efficient in practice and stable in operations and is especially capable of giving good resolution in simulating complicated separated and vortical flows interacting with shock waves.