模拟波浪在非均匀网格上传播的吸收界面条件

IF 1.9 4区数学 Q1 MATHEMATICS

Numerical Mathematics-Theory Methods and Applications Pub Date : 2023-06-01 DOI:10.4208/nmtma.oa-2022-0105

C. Li, Yuhui Liu, Fengru Wang, Jerry Zhijian Yang null, Cheng Yuan

{"title":"模拟波浪在非均匀网格上传播的吸收界面条件","authors":"C. Li, Yuhui Liu, Fengru Wang, Jerry Zhijian Yang null, Cheng Yuan","doi":"10.4208/nmtma.oa-2022-0105","DOIUrl":null,"url":null,"abstract":"We proposed absorbing interface conditions for the simulation of linear wave propagation on non-uniform meshes. Based on the superposition principle of second-order linear wave equations, we decompose the interface condition problem into two subproblems around the interface: for the first one the conventional artificial absorbing boundary conditions is applied, while for the second one, the local analytic solutions can be derived. The proposed interface conditions permit a two-way transmission of low-frequency waves across mesh interfaces which can be supported by both coarse and fine meshes, and perform a one-way absorption of high-frequency waves which can only be supported by fine meshes when they travel from fine mesh regions to coarse ones. Numerical examples are presented to illustrate the efficiency of the proposed absorbing interface conditions. AMS subject classifications: 35K10, 65N06","PeriodicalId":51146,"journal":{"name":"Numerical Mathematics-Theory Methods and Applications","volume":null,"pages":null},"PeriodicalIF":1.9000,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Absorbing Interface Conditions for the Simulation of Wave Propagation on NonUniform Meshes\",\"authors\":\"C. Li, Yuhui Liu, Fengru Wang, Jerry Zhijian Yang null, Cheng Yuan\",\"doi\":\"10.4208/nmtma.oa-2022-0105\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We proposed absorbing interface conditions for the simulation of linear wave propagation on non-uniform meshes. Based on the superposition principle of second-order linear wave equations, we decompose the interface condition problem into two subproblems around the interface: for the first one the conventional artificial absorbing boundary conditions is applied, while for the second one, the local analytic solutions can be derived. The proposed interface conditions permit a two-way transmission of low-frequency waves across mesh interfaces which can be supported by both coarse and fine meshes, and perform a one-way absorption of high-frequency waves which can only be supported by fine meshes when they travel from fine mesh regions to coarse ones. Numerical examples are presented to illustrate the efficiency of the proposed absorbing interface conditions. AMS subject classifications: 35K10, 65N06\",\"PeriodicalId\":51146,\"journal\":{\"name\":\"Numerical Mathematics-Theory Methods and Applications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2023-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Numerical Mathematics-Theory Methods and Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4208/nmtma.oa-2022-0105\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Numerical Mathematics-Theory Methods and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4208/nmtma.oa-2022-0105","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

我们提出了在非均匀网格上模拟线性波传播的吸收界面条件。基于二阶线性波动方程的叠加原理，我们将界面条件问题分解为两个子问题：第一个子问题应用常规的人工吸收边界条件，第二个子问题可以导出局部解析解。所提出的界面条件允许低频波在粗网格和细网格都能支持的网格界面上双向传输，并在高频波从细网格区域传播到粗网格区域时对只能由细网格支持的高频波进行单向吸收。数值算例说明了所提出的吸收界面条件的有效性。AMS受试者分类：35K10、65N06

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Absorbing Interface Conditions for the Simulation of Wave Propagation on NonUniform Meshes

We proposed absorbing interface conditions for the simulation of linear wave propagation on non-uniform meshes. Based on the superposition principle of second-order linear wave equations, we decompose the interface condition problem into two subproblems around the interface: for the first one the conventional artificial absorbing boundary conditions is applied, while for the second one, the local analytic solutions can be derived. The proposed interface conditions permit a two-way transmission of low-frequency waves across mesh interfaces which can be supported by both coarse and fine meshes, and perform a one-way absorption of high-frequency waves which can only be supported by fine meshes when they travel from fine mesh regions to coarse ones. Numerical examples are presented to illustrate the efficiency of the proposed absorbing interface conditions. AMS subject classifications: 35K10, 65N06

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Numerical Mathematics-Theory Methods and Applications 数学-数学

CiteScore

2.80

自引率

7.70%

发文量

审稿时长

>12 weeks

期刊介绍： Numerical Mathematics: Theory, Methods and Applications (NM-TMA) publishes high-quality original research papers on the construction, analysis and application of numerical methods for solving scientific and engineering problems. Important research and expository papers devoted to the numerical solution of mathematical equations arising in all areas of science and technology are expected. The journal originates from the journal Numerical Mathematics: A Journal of Chinese Universities (English Edition). NM-TMA is a refereed international journal sponsored by Nanjing University and the Ministry of Education of China. As an international journal, NM-TMA is published in a timely fashion in printed and electronic forms.