TY - JOUR T1 - WENO Scheme-Based Lattice Boltzmann Flux Solver for Simulation of Compressible Flows 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.