Flow Analysis with the High-Accuracy Scheme for Advection Transport Method

Abstract

Asai et.al. have proposed the 3rd order 6 point scheme to compute advection transports. However, I can tell how long the time of the transportation has been performed through calculation. There is a tendency in the 3rd order 6-point scheme that the reproducibility of Gaussian and rectangular distribution will decline. From this, the calculation scheme based on the characteristic curve method has still got room for improvement. This paper introduces the development of the 5th order 6-point scheme for high-order accuracy computation scheme based on the characteristic curve method. As this scheme does not meet TVD conditions, it is newly developed for translation into the conservative form in order to apply the flux limiter and discriminator. It is defined as a 5th order conservative 6-point scheme. This proposed scheme is adapted and cleared flow problems. It is proved that the proposed scheme can be achieved excellent results from computer simulation.