| 基于静动态重构的高阶DG/FV混合格式在二维非结构网格中的推广 |
| |
| 引用本文： | 张来平,刘伟,贺立新,赫新,邓小刚.基于静动态重构的高阶DG/FV混合格式在二维非结构网格中的推广[J].计算物理,2011,28(2):188-198. |
| |
| 作者姓名： | 张来平 刘伟 贺立新 赫新 邓小刚 |
| |
| 作者单位： | 1. 中国空气动力研究与发展中心,四川,绵阳,621000;中国空气动力研究与发展中心,四川,绵阳,621000
2. 中国空气动力研究与发展中心,四川,绵阳,621000 |
| |
| 基金项目： | 国家重点基础研究发展计划(973)，国家自然科学基金 |
| |
| 摘 要： | 通过比较间断Galerkin有限元方法(DGM)和有限体积方法(FVM),提出"静态重构"和"动态重构"的概念,进一步建立基于静动态"混合重构"算法的三阶DG/FV混合格式.在DG/FV混合格式中,单元平均值和一阶导数由DGM方法"动态重构",二阶导数利用FVM方法"静态重构";在此基础上,构造高阶多项式插值函数,得到...
|
| 关 键 词： | DG有限元法 有限体积法 Taylor基 混合格式 非结构网格 |
High-order Hybrid DG/FV Schemes Based onStatic Re-construction and Dynamic Re-constructionfor Two-dimensional Conservation Law |
| |
| ZHANG Laiping,LIU Wei,HE Lixin,HE Xin,DENG Xiaogang.High-order Hybrid DG/FV Schemes Based onStatic Re-construction and Dynamic Re-constructionfor Two-dimensional Conservation Law[J].Chinese Journal of Computational Physics,2011,28(2):188-198. |
| |
| Authors: | ZHANG Laiping LIU Wei HE Lixin HE Xin DENG Xiaogang |
| |
| Institution: | ZHANG Laiping1,2,LIU Wei2,HE Lixin2,HE Xin2,DENG Xiaogang1,2(1.State Key Laboratory of Aerodynamics,Mianyang 621000,China,2.China Aerodynamics Research and Development Center,China) |
| |
| Abstract: | With study of finite volume(FV) methods and discontinuous Galerkin(DG) method,static reconstructionand dynamic reconstructionare proposed for high-order numerical schemes.Based on the concept ofhybrid reconstruction,a new class of hybrid DG/FV schemes is presented for two-dimensional(2D) unstructured grids to solve the 2D conservation law,including 2D scalar equations and Euler equations.In the hybrid DG/FV schemes,lower-order derivatives of the piecewise polynomial are computed locally in a cell by a tradi... |
| |
| Keywords: | discontinuous Galerkin method finite volume method Taylor basis hybrid scheme unstructured grids |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
