Convergence Accerelation for Euler Equation based on Sparse Point Representation

Abstract

In Computational Fluid Dynamics (CFD), a variety of high order schemes have been extensively applied to an integrated design process, however its capacity still fall short of the full scale integrated design. Full scale integrated design requires a large number of grid points in spatial domain, entailing substantial increase of computing time. However, it is a waste of computational resources to use fine grid in the whole domain. A dense grid is needed only in a rapidly changing region such as shock waves, boundary layers, etc. For that reason, several types of adaptive methods have been implemented to improve efficiency of analysis tool. In these days, numerical techniques based on wavelets methods have emerged as one of revolutionary technologies.