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Acta Mechanica Sinica
Published in: Acta Mechanica Sinica 6/2018

09-08-2018 | Research Paper

A numerical study for WENO scheme-based on different lattice Boltzmann flux solver for compressible flows

Authors: You Li, Xiao-Dong Niu, Hai-Zhuan Yuan, Adnan Khan, Xiang Li

Published in: Acta Mechanica Sinica | Issue 6/2018

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Abstract

In this paper, the finite difference weighted essentially non-oscillatory (WENO) scheme is incorporated into the recently developed four kinds of lattice Boltzmann flux solver (LBFS) to simulate compressible flows, including inviscid LBFS I, viscous LBFS II, hybrid LBFS III and hybrid LBFS IV. Hybrid LBFS can automatically realize the switch between inviscid LBFS I and viscous LBFS II through introducing a switch function. The resultant hybrid WENO–LBFS scheme absorbs the advantages of WENO scheme and hybrid LBFS. We investigate the performance of WENO scheme based on four kinds of LBFS systematically. Numerical results indicate that the devopled hybrid WENO–LBFS scheme has high accuracy, high resolution and no oscillations. It can not only accurately calculate smooth solutions, but also can effectively capture contact discontinuities and strong shock waves.
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Metadata
Title
A numerical study for WENO scheme-based on different lattice Boltzmann flux solver for compressible flows
Authors
You Li
Xiao-Dong Niu
Hai-Zhuan Yuan
Adnan Khan
Xiang Li
Publication date
09-08-2018
Publisher
The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Published in
Acta Mechanica Sinica / Issue 6/2018
Print ISSN: 0567-7718
Electronic ISSN: 1614-3116
DOI
https://doi.org/10.1007/s10409-018-0785-9

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