计算力学学报2012，Vol.29Issue(5)：740-746,7.
适用于间断Galerkin方法的限制器研究
Investigation of a slope limiter for Runge-Kutta discontinuous Galerkin methods
摘要
Abstract
A new slope limiter was formulated for the discontinuous Galerkin methods in this paper. Unlike the previous slope limiters, this slope limiter reconstructed the new gradients for limiting by using the total differential method and took no account of the element types. Consequently, it can be adopted on structured grids, pure-element unstructured grids and mixed-element unstructured grids,leading to a ver- satile limiter to resolve more effectively complex geometry problems. The developed slope limiter was used in a discontinuous Galerkin method to compute a variety of flow problems. The numerical results show its capability to different types of elements, to preserve the accuracy in smooth regions as well as to prevent spurious oscillations near solution discontinuities.关键词
间断Galerkin方法/非结构化网格/斜率限制器/Taylor基函数/可压缩流动Key words
discontinuous Galerkin methods/unstructured grids/slope limiters Taylor basis/compressible flows分类
数理科学引用本文复制引用
任晓栋,顾春伟..适用于间断Galerkin方法的限制器研究[J].计算力学学报,2012,29(5):740-746,7.基金项目
国家自然科学基金（51136003）资助项目. （）
