Low-Diffusion Flux-Splitting Methods for Flows at All Speeds

✍ Scribed by Edwards, Jack R.; Liou, Meng-Sing

• Book ID: 120824947
• Publisher: American Institute of Aeronautics and Astronautics
• Year: 1998
• Tongue: English
• Weight: 536 KB
• Volume: 36
• Category: Article
• ISSN: 0001-1452
• DOI: 10.2514/2.587

✦ Synopsis

Methods for extending the advective upwind splitting method (AUSM) family of low-diffusion ux-splitting schemes to operate effectively at all ow speeds are developed. The extensions developed are designed for use with time-derivative preconditioning and are based on the idea that the speed of sound should cease to be an important scaling parameter for the diffusive contributions to the interface ux as the Mach number becomes small. Using this criterion, alternative de nitions for the interface Mach numbers are developed, and methods for ensuring pressure-velocity coupling at low speeds are formulated. Results are presented for inviscid ows through a channel at various Mach numbers, developing viscous ow in a two-dimensional duct, driven-cavity ows at various Mach and Reynolds numbers, ow over a backward-facing step, and hydrogen-nitrogen mixing layers.