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Volume 23, Issue 4
WENO Scheme-Based Lattice Boltzmann Flux Solver for Simulation of Compressible Flows

You Li, Hai-Zhuan Yuan, Xiao-Dong Niu, Yu-Yue Yang & Shi Shu

DOI: 10.4208/cicp.OA-2016-0210

Commun. Comput. Phys., 23 (2018), pp. 1012-1036.

Published online: 2018-04

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  • Abstract

In this paper, the finite difference weighed essentially non-oscillatory (WENO) scheme is incorporated into the recently developed lattice Boltzmann flux solver (LBFS) to simulate compressible flows. The resultant WENO-LBFS scheme combines advantages of WENO scheme and LBFS, e.g., high-order accuracy, high resolution and physical robustness. Various numerical tests are carried out to compare the performance of WENO-LBFS and that of other WENO-based flux solvers, including the Lax-Friedrichs flux, the modification of the Harten-Lax-van Leer flux, the multi-stage predictor-corrector flux and the flux limiter centered flux. It turns out that WENO-LBFS is able to capture discontinuous profile in shock waves. Comparatively, the WENO-LBFS scheme costs less CPU time and eases programming.

  • Keywords

WENO scheme, lattice Boltzmann flux solver, numerical flux, shock wave, compressible flows.

  • AMS Subject Headings

76N99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-23-1012, author = {You Li, Hai-Zhuan Yuan, Xiao-Dong Niu, Yu-Yue Yang and Shi Shu}, title = {WENO Scheme-Based Lattice Boltzmann Flux Solver for Simulation of Compressible Flows}, journal = {Communications in Computational Physics}, year = {2018}, volume = {23}, number = {4}, pages = {1012--1036}, abstract = {

In this paper, the finite difference weighed essentially non-oscillatory (WENO) scheme is incorporated into the recently developed lattice Boltzmann flux solver (LBFS) to simulate compressible flows. The resultant WENO-LBFS scheme combines advantages of WENO scheme and LBFS, e.g., high-order accuracy, high resolution and physical robustness. Various numerical tests are carried out to compare the performance of WENO-LBFS and that of other WENO-based flux solvers, including the Lax-Friedrichs flux, the modification of the Harten-Lax-van Leer flux, the multi-stage predictor-corrector flux and the flux limiter centered flux. It turns out that WENO-LBFS is able to capture discontinuous profile in shock waves. Comparatively, the WENO-LBFS scheme costs less CPU time and eases programming.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0210}, url = {http://global-sci.org/intro/article_detail/cicp/11203.html} }
TY - JOUR T1 - WENO Scheme-Based Lattice Boltzmann Flux Solver for Simulation of Compressible Flows AU - You Li, Hai-Zhuan Yuan, Xiao-Dong Niu, Yu-Yue Yang & Shi Shu JO - Communications in Computational Physics VL - 4 SP - 1012 EP - 1036 PY - 2018 DA - 2018/04 SN - 23 DO - http://doi.org/10.4208/cicp.OA-2016-0210 UR - https://global-sci.org/intro/article_detail/cicp/11203.html KW - WENO scheme, lattice Boltzmann flux solver, numerical flux, shock wave, compressible flows. AB -

In this paper, the finite difference weighed essentially non-oscillatory (WENO) scheme is incorporated into the recently developed lattice Boltzmann flux solver (LBFS) to simulate compressible flows. The resultant WENO-LBFS scheme combines advantages of WENO scheme and LBFS, e.g., high-order accuracy, high resolution and physical robustness. Various numerical tests are carried out to compare the performance of WENO-LBFS and that of other WENO-based flux solvers, including the Lax-Friedrichs flux, the modification of the Harten-Lax-van Leer flux, the multi-stage predictor-corrector flux and the flux limiter centered flux. It turns out that WENO-LBFS is able to capture discontinuous profile in shock waves. Comparatively, the WENO-LBFS scheme costs less CPU time and eases programming.

You Li, Hai-Zhuan Yuan, Xiao-Dong Niu, Yu-Yue Yang and Shi Shu. (2018). WENO Scheme-Based Lattice Boltzmann Flux Solver for Simulation of Compressible Flows. Communications in Computational Physics. 23 (4). 1012-1036. doi:10.4208/cicp.OA-2016-0210
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