Lattice Boltzmann model for compressible flows on standard lattices: Variable Prandtl number and adiabatic exponent

Mohammad Hossein Saadat, Fabian Bösch, and Ilya V. Karlin
Phys. Rev. E 99, 013306 – Published 18 January 2019

Abstract

A lattice Boltzmann model for compressible flows on standard lattices is developed and analyzed. A consistent two-population thermal lattice Boltzmann is used which allows a variable Prandtl number and a variable adiabatic exponent, and appropriate correction terms are introduced into the kinetic equations to compensate for deviations in the hydrodynamic limit. Using the concept of a shifted lattice, the model is extended to supersonic flows involving shock waves, and the shock-vortex interaction problem is simulated to show the accuracy of the proposed model. Numerical results demonstrate that the proposed model is a viable candidate for compressible flow simulations.

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  • Received 2 July 2018

DOI:https://doi.org/10.1103/PhysRevE.99.013306

©2019 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsFluid Dynamics

Authors & Affiliations

Mohammad Hossein Saadat*, Fabian Bösch, and Ilya V. Karlin

  • Department of Mechanical and Process Engineering, ETH Zurich, 8092 Zurich, Switzerland

  • *msaadat@lav.mavt.ethz.ch
  • boesch@lav.mavt.ethz.ch
  • Corresponding author: karlin@lav.mavt.ethz.ch

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Issue

Vol. 99, Iss. 1 — January 2019

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