@Article{CiCP-23-1012, author = {}, 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} }