An investigation of some form of preconditioning approach for the incompressible Navier–Stokes equations is presented. We have implemented preconditioning in conjunction with a high-resolution (characteristics-based) scheme for the advective terms, a non-linear multigrid algorithm and an explicit fourth-order, total variation diminishing (TVD) Runge–Kutta scheme. Computations have been carried out for flows through suddenly-expanded and expanded–contracted geometries, for a broad range of Reynolds numbers, featuring flow separation as well as instabilities. We present comparisons of the preconditioned and non-preconditioned solutions against experimental and previous computational results and show that for the cases exhibiting instabilities, preconditioning has a positive effect on the convergence, but the accuracy is adversely affected. Further investigations of other forms of preconditioning need to be performed in order to shed light on the above issues.
|Number of pages||8|
|Journal||International Journal for Numerical Methods in Fluids|
|Publication status||Published - 7 Jan 2005|
- incompressible flows
- high-resolution methods