SIMULATION OF SHOCK-WAVE PROPAGATION WITH FINITE VOLUME LATTICE BOLTZMANN METHOD

Kun Qu, Chang Shu () and Yong Tian Chew
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Kun Qu: Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore, 119260, Singapore
Chang Shu: Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore, 119260, Singapore
Yong Tian Chew: Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore, 119260, Singapore

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 04, 447-454

Abstract: A new approach was recently proposed to construct equilibrium distribution functions$(f^{eq}_{\alpha})$of the lattice Boltzmann method for simulation of compressible flows. In this approach, the Maxwellian function is replaced by a simple function which satisfies all needed relations to recover compressible Euler equations. With Lagrangian interpolation polynomials, the simple function is discretized onto a fixed velocity pattern to construct$f^{eq}_{\alpha}$. In this paper, the finite volume method is combined with the new lattice Boltzmann models to simulate 1D and 2D shock-wave propagation. The numerical results agree well with available data in the literatures.

Keywords: Lattice Boltzmann method; compressible flows; MUSCL; shock waves; Lagrangian polynomials; 11.25.Hf; 123.1K (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S012918310701067X

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