Numerical Investigation of the Artificial Compressibility Method for the Solutionof the Navier-Stokes Equations

摘要

Aspects of the numerical solution of the incompressible Navier-Stokes equationsare examined. The artificial compressibility approach is a numerical method for solving the incompressible Navier-Stokes equations. The use of five different Riemann solvers for the equations of the artificial compressibility method is addressed. The performance of the Riemann solvers is examined. Four of these are approximate Riemann solvers and one is an exact solver. Three ways in which the boundary conditions can be treated are studied. The choice of c, the artificial compressibility coefficient, is investigated.