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 - <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>