Effects of Directional Subdividing on adaptive Grid-Embedding (RESEARCH NOTE)

Abstract

The effects of using both directions and directional subdividing on adaptive gridembedding on the computational time and the number of grid points required for the same accuracy are considered. Directional subdividing is used from the beginning of the adaptation procedure without any restriction. To avoid the complication of unstructured grid, the semi-structured grid was used. It is used to solve three test cases, transonic and supersonic inviscid flows in channels with circular arc bump and with convergent part. The Euler equations are integrated to steady state by an explicit, finite volume, Ni’s Lax-Wendroff type. In this work, multi-grid technique is applied to increase the convergence rate. The directional subdividing is more complex than both directions subdividing. However, the results show that for the same accuracy, directional subdividing considerably reduces the number of grid points and the computational time.