An Efficient Method for Temporal Integration of the Navier–Stokes Equations in Confined Axisymmetric Geometries

✍ Scribed by Knut Akselvoll; Parviz Moin

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 402 KB
• Volume: 125
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1996.0107

✦ Synopsis

to overcome the time-stepping (or the pole) problem, involves coarsening the grid near the singular points, thus A method for temporal integration of the Navier-Stokes equations written in cylindrical coordinates is described. The objective is to allowing for the use of explicit time-integration. For inavoid the severe time-step limitation usually encountered in constance, Kurihara [5] developed what he called a spherical fined axisymmetric geometries (e.g., pipe flow), caused by a fine grid system in order to reduce the grid spacing close to azimuthal grid spacing around the centerline and the desire to refine the poles in a simulation of the general circulation of the the grid in the radial direction near walls. Avoiding severe timeatmosphere. Umsheid and Sankar-Rao [6], also interested step limitations usually involves treating all terms with derivatives in the radial and azimuthal directions with an implicit time-integration in the general circulation problem, filtered the small scale scheme. However, this leads to a set of coupled nonlinear equations portion of the solution near the poles. Filtering was done which generally require complex and costly solution procedures.