Numerical Solving the Mesoscopic Variables of LBM in Riemann Problem by Differential Quadrature Method

Abstract

The present study proposes a novel method for simulation of flows by a compressible LB model in order to enhance the robustness using Qadyan numerical method. The Qadyan method is a combination of semi-discrete schemes to create a system of ordinary differential equation and differential quadrature method. To illustrate the validation of the proposed method a benchmark is used to solve the mesoscopic variables of lattice Boltzmann (LB) model in Riemann problem and good agreements for inviscid flows have been obtained