High-order Finite Difference and Finite Volume WENO Schemes and Discontinuous Galerkin Methods for CFD
High-order Finite Difference and Finite Volume WENO Schemes and Discontinuous Galerkin Methods for CFD
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DOI：
10.1080/1061856031000104851
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发表时间：
2003-03
影响因子：
1.3
通讯作者：
Chi-Wang Shu
中科院分区：
文献类型：
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作者：
Chi-Wang Shu
近年来，高阶数值方法已被广泛应用于计算流体力学（CFD），以有效地解决复杂的流动特性，使用网格是合理的，为今天的计算机。本文回顾并比较了CFD中常用的三种高阶方法，即加权基本无振荡（韦诺）有限差分法、韦诺有限体积法和间断Galerkin（DG）有限元法。我们总结了这些方法的主要特点，从一个实际的用户的角度来看，表明其适用性和相对强度，并显示了一些选定的数值例子来证明其性能的说明性模型CFD问题。
In recent years, high order numerical methods have been widely used in computational fluid dynamics (CFD), to effectively resolve complex flow features using meshes which are reasonable for today's computers. In this paper, we review and compare three types of high order methods being used in CFD, namely the weighted essentially non-oscillatory (WENO) finite difference methods, the WENO finite volume methods, and the discontinuous Galerkin (DG) finite element methods. We summarize the main features of these methods, from a practical user's point of view, indicate their applicability and relative strength, and show a few selected numerical examples to demonstrate their performance on illustrative model CFD problems.