{"title":"用格-玻尔兹曼技术求解亥姆霍兹方程","authors":"F. Fonseca","doi":"10.12988/NADE.2016.6636","DOIUrl":null,"url":null,"abstract":"The Helmholtz equation is solved using the lattice-Boltzmann technique for a d2q9 lattice velocity scheme. We assumed a distribution function that satisfies the lattice-Boltzmann equation, and its average on cell gives account for the scalar field that solves Helmholtz equation. The method relies on the definition of the second moment of the distribution. We obtain the classic interference behavior for several sources.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The solution of the Helmholtz equation using lattice-Boltzmann technique\",\"authors\":\"F. Fonseca\",\"doi\":\"10.12988/NADE.2016.6636\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Helmholtz equation is solved using the lattice-Boltzmann technique for a d2q9 lattice velocity scheme. We assumed a distribution function that satisfies the lattice-Boltzmann equation, and its average on cell gives account for the scalar field that solves Helmholtz equation. The method relies on the definition of the second moment of the distribution. We obtain the classic interference behavior for several sources.\",\"PeriodicalId\":315586,\"journal\":{\"name\":\"Nonlinear Analysis and Differential Equations\",\"volume\":\"3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis and Differential Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/NADE.2016.6636\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/NADE.2016.6636","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The solution of the Helmholtz equation using lattice-Boltzmann technique
The Helmholtz equation is solved using the lattice-Boltzmann technique for a d2q9 lattice velocity scheme. We assumed a distribution function that satisfies the lattice-Boltzmann equation, and its average on cell gives account for the scalar field that solves Helmholtz equation. The method relies on the definition of the second moment of the distribution. We obtain the classic interference behavior for several sources.
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