A 2D Meshless Solver Based on AUSM+ and MUSCL Scheme

Abstract:

When solving Euler equations of fluid dynamics around complex configurations, a meshless method which doesn’t use the information of the meshes may have the advantages to simulate the flow field. In this paper, a simple and accurate meshless algorithm based on AUSM+ and MUSCL scheme has been described. To assess the capability for capturing shock position and the resolvability of the complex shock waves, a number of typical test cases are calculated with the meshless method. The results obtained are in good agreement with the exact solution or some high-resolution numerical method as well as flux-corrected transport (FCT) algorithm with adaptive mesh refinement (AMR) technique.

• Periodical: Applied Mechanics and Materials (Volumes 105-107)
• Pages: 2140-2143
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.105-107.2140
• Online since: September 2011
• Authors: Xiao Wei Cai, Jun Jie Tan, Xin Jian Ma
• Keywords: AUSM+, Euler Equation, Meshless Algorithm, MUSCL Scheme, Van Albada Limiter

References

[1] J. T. Batina: AIAA Paper-1993-0333, 1993.

[2] D. Sridar and N. Balakrishnan: J. Comp. Phy, Vol. 189 (2003) No.1, p.1.

[3] M.S. Liou: J. Comp. Phy, Vol. 129 (1996), No.2, p.364.

[4] G.A. Sod: J. Comp. Phy, Vol. 27 (1978), No.1, p.1.

[5] J.W. Banks, W.D. Henshaw and J.N. Shadid: J. Comp. Phy, Vol. 228 (2009), No.15, p.5349.