A Fourth-Order-Accurate Finite Volume Compact Method for the Incompressible Navier–Stokes Solutions

✍ Scribed by J.M.C. Pereira; M.H. Kobayashi; J.C.F. Pereira

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 177 KB
• Volume: 167
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.2000.6673

✦ Synopsis

This paper presents a finite volume fourth-order-accurate compact scheme for discretization of the incompressible Navier-Stokes equations in primitive variable formulation. The numerical method of integrating the Navier-Stokes equations comprises a compact finite volume formulation of the average convective and diffusive fluxes. The pressure-velocity coupling is achieved via the coupled solution of the resulting system of equations. The solution of the coupled set of equations is performed with an implicit Newton-Krylov matrix-free method for stationary problems. For simulation of unsteady flows, a standard fourth-order Runge-Kutta method was used for temporal discretization and the velocity-pressure coupling was ensured at each stage also using the matrix-free method. Several incompressible viscous steady and unsteady flow problems have been computed to assess the robustness and accuracy of the proposed method.