Benchmark compressible flow simulation based on lattice Boltzmann method

In this work, a lattice Boltzmann flux solver (LBFS) scheme is adopted to simulate compressible flow system. The fundamental idea of the present model is to determine the inter-cell face parameters using the lattice Boltzmann method (LBM) and to calculate the node parameters using the conventional finite volume method (FVM). LBFS is very efficient and easy to implement in simulating compressible flow with Mach number less than one. The code is validated with the well-established published results for one-dimensional Sod's shock tube problem. The results are plotted in terms of density, pressure and velocity profiles along the length of tube which show that LBFS scheme provides better performance than Van Leer's flux vector splitting scheme. (C) 2019 Elsevier Ltd. All rights reserved.