@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 = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2016-0210},
url = {http://global-sci.org/intro/article_detail/cicp/11203.html}
}