A Mach-uniform unstructured staggered grid method

✍ Scribed by I. Wenneker; A. Segal; P. Wesseling

• Book ID: 102841866
• Publisher: John Wiley and Sons
• Year: 2002
• Tongue: English
• Weight: 734 KB
• Volume: 40
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/fld.417

✦ Synopsis

Abstract

A novel Mach‐uniform method to compute flows using unstructured staggered grids is discussed. The Mach‐uniform method is a generalization of the pressure‐correction approach for incompressible flows, and is valid for Mach numbers ranging from 0 (incompressible) to > 1 (supersonic). The primary variables (ρu,p and ρ) are updated sequentially. The grid consists of triangles. A staggered positioning of the variables is employed: the scalar variables are located at the centroids of the triangles, whereas the normal momentum components are positioned at the midpoints of the faces of the triangles. Discretization of the two‐dimensional flow equations on unstructured staggered grids is discussed. For the cell face fluxes there is a choice between first‐order upwind and central approximation. Flows around the NACA 0012 airfoil with freestream Mach numbers ranging from 0 to 1.2 are computed to demonstrate the Mach‐uniform accuracy and efficiency of the proposed method. Copyright © 2002 John Wiley & Sons, Ltd.