Low-Diffusion Preconditioning Roe’s Scheme on Simulation of Low-Speed Flows

Abstract:

Preconditioning technology is an effective method to simulate low Mach number flows, but the stability of the result is poor relatively. With the traditional preconditioning method on Roe’s scheme, the dissipation is too large in the boundary layer and extremely low-speed zone, and sometimes the result is unreasonable. Numerical experiments show the numerical dissipation of the scheme has a notable effect on low-speed flow numerical simulation with preconditioning method. A low-diffusion preconditioning Roe scheme by using an adjustable parameter in preconditioning Roe scheme to control the numerical dissipation and the adjustable parameter value rules are proposed. The low-diffusion preconditioning Roe scheme reflects the real physical dissipation in the extremely low-speed zone. In the region similar to the inflow speed, low-diffusion preconditioning Roe scheme can ensure the stability of the flow field. Numerical results show the efficiency of the new scheme and the low Reynolds number steady solutions of viscous flow past a circular cylinder are satisfied.

• Periodical: Applied Mechanics and Materials (Volumes 275-277)
• Pages: 446-450
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.275-277.446
• Online since: January 2013
• Authors: Ning Cao
• Keywords: Low-Speed Flows, Numerical Method, Preconditioning, Steady Flow

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