Two-Dimensional Numerical Simulation of Fluid Flow using Weakly Compressible Explicit Scheme and Its Verification

Abstract

This study concerns a numerical simulation method of incompressible fluid flows using a weakly compressible explicit scheme and its verification. The Entropically Damped Artificial Compressibility (EDAC) method, one of weakly compressible explicit schemes, is applied for simulations of low-Reynolds number flows with an inlet and outlet. The non-reflective characteristic boundary condition is imposed on the velocity field, and the convective outflow condition is imposed on the pressure field. The Pseudo Crank-Nicolson method with the upstream-shifted interpolation is used for the time discretization. The implemented numerical method is applied to simulate a lid-driven cavity flow and a plane Poiseuille flow. The simulation results agree well with the existing results, then demonstrating the suitability of the method to numerical simulations of incompressible flows.