International Journal for Numerical Methods in Fluids

Volume 62, Issue 4 pp. 403-427

Research Article

A hybrid FVM–LBM method for single and multi-fluid compressible flow problems

Himanshu Joshi,

Himanshu Joshi

Department of Mechanical Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India

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Arpit Agarwal,

Arpit Agarwal

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, U.S.A.

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Bhalchandra Puranik,

Corresponding Author

Bhalchandra Puranik

[email protected]

Department of Mechanical Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India

Department of Mechanical Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India===Search for more papers by this author

Chang Shu,

Chang Shu

Department of Mechanical Engineering, National University of Singapore, Singapore

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Amit Agrawal,

Amit Agrawal

Department of Mechanical Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India

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Himanshu Joshi,

Himanshu Joshi

Department of Mechanical Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India

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Arpit Agarwal,

Arpit Agarwal

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, U.S.A.

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Bhalchandra Puranik,

Corresponding Author

Bhalchandra Puranik

[email protected]

Department of Mechanical Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India

Department of Mechanical Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India===Search for more papers by this author

Chang Shu,

Chang Shu

Department of Mechanical Engineering, National University of Singapore, Singapore

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Amit Agrawal,

Amit Agrawal

Department of Mechanical Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India

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First published: 12 March 2009

https://doi.org/10.1002/fld.2024

Citations: 16

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Abstract

The lattice Boltzmann method (LBM) has established itself as an alternative approach to solve the fluid flow equations. In this work we combine LBM with the conventional finite volume method (FVM), and propose a non-iterative hybrid method for the simulation of compressible flows. LBM is used to calculate the inter-cell face fluxes and FVM is used to calculate the node parameters. The hybrid method is benchmarked for several one-dimensional and two-dimensional test cases. The results obtained by the hybrid method show a steeper and more accurate shock profile as compared with the results obtained by the widely used Godunov scheme or by a representative flux vector splitting scheme. Additional features of the proposed scheme are that it can be implemented on a non-uniform grid, study of multi-fluid problems is possible, and it is easily extendable to multi-dimensions. These features have been demonstrated in this work. The proposed method is therefore robust and can possibly be applied to a variety of compressible flow situations. Copyright © 2009 John Wiley & Sons, Ltd.

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Volume62, Issue4

10 February 2010

Pages 403-427

A hybrid FVM–LBM method for single and multi-fluid compressible flow problems

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A hybrid FVM–LBM method for single and multi-fluid compressible flow problems

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