EVALUATION OF A HIGHER-ORDER BOUNDED CONVECTION SCHEME: THREE-DIMENSIONAL NUMERICAL EXPERIMENTS

Abstract

This article presents a detailed three-dimensional evaluation of a higher-order bounded convection scheme. A high-resolution and bounded discretization scheme named COPIA, which is composed of piecewise linear functions in the normalized variable diagram, is proposed. The scheme is applied to the three-dimensional test problems to assess its capabilities. The results of numerical experiments show that the tested bounded scheme resolves the boundedness problem white retaining the accuracy of a higher-order scheme.