Abstract
This chapter focuses on numerical simulation of viscous compressible gas flows at low Mach number and employment of distributed memory multiprocessors for solution of such large-scale problems. A new approach based on the quasi-gasdynamic system (QGDS) and on a parallel pressure correction algorithm is proposed. The QGDS of equations is an original model that has been proposed as an alternative to the Navier–Stokes equations. QGDS is a differential approximation of the kinetically consistent finite difference (KCFD) schemes. KCFD and QGDS can be interpreted as a new physical model for describing viscous compressible gas flows. The new approach based on QGDS and on a parallel pressure correction algorithm was validated by solving some tests. Computations were performed for uniform square grids of different sizes at different Reynolds numbers and at Mach number in the range from 0.0 to 0.1. Streamlines of the steady-state flow and velocity profiles of vertical and horizontal midsections of the cavity were analyzed. Results demonstrated good agreement between obtained results and benchmarks from the well-known papers.
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