关于正确评估基于节点中心边缘方案的截断误差阶数

IF 2.5 3区工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Fluids Pub Date : 2024-11-05 DOI:10.1016/j.compfluid.2024.106470

Cosimo Tarsia Morisco, Hiroaki Nishikawa

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引用次数: 0

摘要

在这篇短文中，我们通过一个简单的分析表明，在常规网格上观察到的截断误差阶数，如果没有得到正确的评估，会随着规范的选择和离散化方案的不同而发生变化。对于二阶方案，它可以是一阶、二阶或介于两者之间的任何一阶。以以节点为中心的基于边缘的离散化为例，我们为如何正确评估截断误差的阶数提供了指导：我们应该分别评估一组节点和其他节点的截断误差，前者的残余模版是对称的，并且在每个节点上都是相同的。

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On correctly evaluating orders of truncation error for node-centered edge-based schemes

In this short note, we present a simple analysis to show that an observed order of truncation error on a regular grid can change, if not correctly evaluated, depending on the choice of the norm and also on the discretization scheme. For a second-order scheme, it can be first order, second order, or anywhere in between. Using the node-centered edge-based discretization as an example, we provide a guide on how to evaluate the order of truncation error correctly: one should evaluate it separately for a set of nodes, where the residual stencil is symmetric and the same at every node, and the rest of nodes.

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来源期刊

Computers & Fluids 物理-计算机：跨学科应用

CiteScore

5.30

自引率

7.10%

发文量

242

审稿时长

10.8 months

期刊介绍： Computers & Fluids is multidisciplinary. The term ''fluid'' is interpreted in the broadest sense. Hydro- and aerodynamics, high-speed and physical gas dynamics, turbulence and flow stability, multiphase flow, rheology, tribology and fluid-structure interaction are all of interest, provided that computer technique plays a significant role in the associated studies or design methodology.