The Design of Local Navier–Stokes Preconditioning for Compressible Flow

✍ Scribed by Dohyung Lee

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 381 KB
• Volume: 144
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1998.5994

✦ Synopsis

A family of Navier-Stokes preconditioners is presented that may reduce the stiffness due to complicated interaction between convection and diffusion in viscous flows. Navier-Stokes preconditioning is developed based on a Fourier analysis of the discretized equations and a dispersion analysis of the differential equations. Navier-Stokes preconditioning can be extended from the Euler technique with two methods: (a) by using block-Jacobi preconditioning for the viscous terms; (b) by introducing analytic dependence on the cell-Reynolds number in the preconditioner. With these techniques it is possible to produce a local Navier-Stokes preconditioner effective for all Mach and cell-Reynolds numbers. These techniques and a combined method are analyzed with respect to condition number and linear wave propagation and are illustrated with some numerical results.