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A Hybrid Lattice Boltzmann Flux Solver for Simulation of Viscous Compressible Flows

A Hybrid Lattice Boltzmann Flux Solver for Simulation of Viscous Compressible Flows
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Year:    2016

Author:    L. M. Yang, C. Shu, J. Wu

Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 6 : pp. 887–910

Abstract

In this paper, a hybrid lattice Boltzmann flux solver (LBFS) is proposed for simulation of viscous compressible flows. In the solver, the finite volume method is applied to solve the Navier-Stokes equations. Different from conventional Navier-Stokes solvers, in this work, the inviscid flux across the cell interface is evaluated by local reconstruction of solution using one-dimensional lattice Boltzmann model, while the viscous flux is still approximated by conventional smooth function approximation. The present work overcomes the two major drawbacks of existing LBFS [28–31], which is used for simulation of inviscid flows. The first one is its ability to simulate viscous flows by including evaluation of viscous flux. The second one is its ability to effectively capture both strong shock waves and thin boundary layers through introduction of a switch function for evaluation of inviscid flux, which takes a value close to zero in the boundary layer and one around the strong shock wave. Numerical experiments demonstrate that the present solver can accurately and effectively simulate hypersonic viscous flows.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2015.m1172

Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 6 : pp. 887–910

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    24

Keywords:    Lattice Boltzmann flux solver hybrid 1D lattice Boltzmann model switch function.

Author Details

L. M. Yang

C. Shu

J. Wu

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