NEW, STRONGLY CONSERVATIVE FINITE-VOLUME FORMULATION FOR FLUID FLOWS IN IRREGULAR GEOMETRIES USING CONTRAVARIANT VELOCITY COMPONENTS: PART 2, ASSESSMENT

Abstract

The purpose of this article is to evaluate the performance of a strongly conservative finite-volume formulation described in a previous article [1] with the use of standard test problems. In this regard, two test problems that represent various aspects of flow in complex geometries are solved. These aspects range from grid curvature and skewness to steep pressure and velocity gradients in the flow field. The test problems also possess either exact or otherwise previously established solutions. This allows estimates of the performance of the present approaches relative to earlier studies. Both staggered and nonstaggered grids are used. The results indicate a distinct preference for the nonstaggered grid approach. This is based on substantially better agreement with the exact/established solutions to the test problems and the simplicity in implementation.

Notes

Address correspondence to D. L. Rhode, Department of Mechanical Engineering, Texas A & M University, College Station, TX 77843, USA.