Recent progress in the development and understanding of SUPG methods with special reference to the compressible Euler and Navier-Stokes equations†‡
Recent progress in the development and understanding of SUPG methods with special reference to the compressible Euler and Navier-Stokes equations†‡
复制标题
DOI：
10.1002/fld.1650071108
复制
发表时间：
1987-11
影响因子：
1.8
通讯作者：
T. Hughes
中科院分区：
文献类型：
--
作者：
T. Hughes
SUPG方法最初是针对标量平流扩散方程和不可压缩Navier-Stokes方程发展起来的。在过去的几年里，已经成功地扩展到对称的连续扩散系统，特别是可压缩的欧拉方程和纳维-斯托克斯方程。引入了新的方法来提高不连续面和薄层的分辨率。本文简要概述了SUPG方法的发展和理解方面的最新进展。
SUPG methods were originally developed for the scalar advection-diffusion equation and the incompressible Navier-Stokes equations. In the last few years successful extensions have been made to symmetric advective-diffusive systems and, in particular, the compressible Euler and Navier-Stokes equations. New procedures have been introduced to improve resolution of discontinuities and thin layers. In this paper a brief overview is presented of recent progress in the development and understanding of SUPG methods.