A Two-dimensional lattice Boltzmann method for compressible flows
Journal Title: Acta Informatica Malaysia - Year 2017, Vol 1, Issue 1
Abstract
In this paper we present an improved lattice Boltzmann model for compressible Navier–Stokes system with high Mach number.The model is composed of three components: (i) the discrete-velocity-model by M. Watari and M. Tsutahara [Phys. Rev. E 67(2003) 036306], (ii) a modified Lax–Wendroff finite difference scheme where reasonable dissipation and dispersion are naturallyincluded, (iii) artificial viscosity. The improved model is convenient to compromise the high accuracy and stability. The includeddispersion term can effectively reduce the numerical oscillation at discontinuity. The added artificial viscosity helps the schemeto satisfy the von Neumann stability condition. Shock tubes and shock reflections are used to validate the new scheme. In ournumerical tests the Mach numbers are successfully increased up to 20 or higher. The flexibility of the new model makes it suitablefor tracking shock waves with high accuracy and for investigating nonlinear nonequilibrium complex systems.
Authors and Affiliations
Gu Xuana, He Zhenga, Sun Xiaoyua, Liu Jua, Wang Bin-Sheng
Keywords
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- EP ID EP260154
- DOI 10.26480/aim.01.2017.32.35
- Views 119
- Downloads 0
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