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Simulation Of Shock-Wave Propagation With Finite Volume Lattice Boltzmann Method

Author

Listed:
  • 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)

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.

Suggested Citation

  • Kun Qu & Chang Shu & Yong Tian Chew, 2007. "Simulation Of Shock-Wave Propagation With Finite Volume Lattice Boltzmann Method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 447-454.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:04:n:s012918310701067x
    DOI: 10.1142/S012918310701067X
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