Residual distribution schemes: Current status and future trends
Residual distribution schemes: Current status and future trends
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DOI：
10.1016/j.compfluid.2005.01.007
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发表时间：
2006-08
影响因子：
2.8
通讯作者：
R. Abgrall
中科院分区：
文献类型：
--
作者：
R. Abgrall
本文讨论了适用于可压缩流动问题的一类新的格式——剩余分布格式。它们可以被看作是流线扩散法等纯有限元方法与高阶迎风法有限体积方案之间的联系。事实上，他们借鉴了这两类的思想，这导致了非常精确的紧凑方案。到目前为止，它们主要适用于三角形网格，但可以处理定常和非定常问题。由于原理与标准方案完全不同，我们将提供方案的完整描述和许多数值插图。还将讨论一些尚未解决的问题。
In this paper, we discuss a new class of schemes, the residual distribution schemes, adapted to compressible flow problems. They can be seen as a link between pure finite element methods such as the streamline diffusion method and the high order upwind method finite volume schemes. In fact they borrow ideas from both classes and this results in very accurate compact schemes. Up to now, they are mainly adapted to triangular type meshes, but can handle steady and unsteady problems. Since the philosophy is quite different form standard schemes, we will provide a full description of the schemes and many numerical illustrations. Some still unsolved issues will also be discussed.