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

Part of: Basic methods in fluid mechanics

Published online by Cambridge University Press:  19 September 2016

L. M. Yang ,
C. Shu  and
J. Wu
L. M. Yang*
Affiliation:
State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang 621000, China Department of Aerodynamics, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street, Nanjing 210016, China
C. Shu*
Affiliation:
Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore
J. Wu
Affiliation:
Department of Aerodynamics, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street, Nanjing 210016, China
*
*Corresponding author. Email:mpeshuc@nus.edu.sg (C. Shu), yangliming_2011@126.com (L. M. Yang)
*Corresponding author. Email:mpeshuc@nus.edu.sg (C. Shu), yangliming_2011@126.com (L. M. Yang)
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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.

Keywords

Lattice Boltzmann flux solverhybrid1D lattice Boltzmann modelswitch function

MSC classification

Secondary: 76M12: Finite volume methods
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 6 , December 2016 , pp. 887 - 910
Copyright
Copyright © Global-Science Press 2016 

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