A VERIFICATION OF THE ACCURACY OF ADVECTION CALCULATION BY HERMITE ELEMENT WITH COMPLETE CUBIC POLYNOMIALS ON THE COMPARISON WITH THE A-TYPE CIP SCHEME

Abstract

 Adoption of Hermite element with complete cubic polynomials is one of the choices to apply the CIP scheme to unstructured triangular meshes. This would be expected to be an effective method to solve advection problems in complicated boundary with high accuracy. In this study, characteristic of numerical error of advection calculation with Hermite triangular element was compared with that of A-type CIP scheme by numerical experiments and Von Neumann stability analysis. Dependence of numerical error of the Hermite triangular element on the flow directions was revealed.