Abstract

Flux Correction method is a family of edge-based schemes for solving hyperbolic systems on unstructured meshes. The cruical operation there is a nodal gradient calculation of physical variables with at least second order of accuracy. There are two well-known procedures meeting this condition. One is based on Least Squares method and the other one is based on spectral elements. In this paper we compare resulting schemes and discuss their problems.

中文翻译：

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通量校正方法中的梯度计算

摘要

通量校正方法是用于解决非结构化网格上的双曲系统的一系列基于边的方案。关键操作是对物理变量进行节点梯度计算，且精度至少为第二阶。有两个符合此条件的众所周知的过程。一种基于最小二乘法，另一种基于光谱元素。在本文中，我们比较了生成的方案并讨论了它们的问题。