Two-dimensional lattice Boltzmann model for compressible flows with high Mach number

Yanbiao Gan, Aiguo Xu, Guangcai Zhang, Xijun Yu and Yingjun Li

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 8, 1721-1732

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 naturally included, (iii) artificial viscosity. The improved model is convenient to compromise the high accuracy and stability. The included dispersion term can effectively reduce the numerical oscillation at discontinuity. The added artificial viscosity helps the scheme to satisfy the von Neumann stability condition. Shock tubes and shock reflections are used to validate the new scheme. In our numerical tests the Mach numbers are successfully increased up to 20 or higher. The flexibility of the new model makes it suitable for tracking shock waves with high accuracy and for investigating nonlinear nonequilibrium complex systems.

Keywords: Lattice Boltzmann method; Compressible flows; von Neumann analysis (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:8:p:1721-1732

DOI: 10.1016/j.physa.2007.11.013

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