{"title":"简化磁流体力学中的等几何分析","authors":"A. Ratnani, E. Sonnendrücker","doi":"10.1088/1749-4699/5/1/014007","DOIUrl":null,"url":null,"abstract":"Isogeometric analysis (IGA) consists of using computer-aided design (CAD) models defining the geometry of the computational domain using both B-splines and non- uniform rational B-splines (NURBS) to represent the unknowns that are the solution of a partial differential equation using a finite element principle. In this paper, we review the main ideas of IGA and apply it to a reduced magnetohydrodynamic (MHD) model that is used in tokamak simulations. This is a first step towards arbitrary high-order and smooth approximations of reduced MHD generalizing the Bezier splines approach of Czarny and Huysmans( 2008 J.Comput.Phys. 227 7423-45).","PeriodicalId":89345,"journal":{"name":"Computational science & discovery","volume":"5 1","pages":"014007"},"PeriodicalIF":0.0000,"publicationDate":"2012-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1088/1749-4699/5/1/014007","citationCount":"8","resultStr":"{\"title\":\"Isogeometric analysis in reduced magnetohydrodynamics\",\"authors\":\"A. Ratnani, E. Sonnendrücker\",\"doi\":\"10.1088/1749-4699/5/1/014007\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Isogeometric analysis (IGA) consists of using computer-aided design (CAD) models defining the geometry of the computational domain using both B-splines and non- uniform rational B-splines (NURBS) to represent the unknowns that are the solution of a partial differential equation using a finite element principle. In this paper, we review the main ideas of IGA and apply it to a reduced magnetohydrodynamic (MHD) model that is used in tokamak simulations. This is a first step towards arbitrary high-order and smooth approximations of reduced MHD generalizing the Bezier splines approach of Czarny and Huysmans( 2008 J.Comput.Phys. 227 7423-45).\",\"PeriodicalId\":89345,\"journal\":{\"name\":\"Computational science & discovery\",\"volume\":\"5 1\",\"pages\":\"014007\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-07-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1088/1749-4699/5/1/014007\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computational science & discovery\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/1749-4699/5/1/014007\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational science & discovery","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/1749-4699/5/1/014007","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Isogeometric analysis in reduced magnetohydrodynamics
Isogeometric analysis (IGA) consists of using computer-aided design (CAD) models defining the geometry of the computational domain using both B-splines and non- uniform rational B-splines (NURBS) to represent the unknowns that are the solution of a partial differential equation using a finite element principle. In this paper, we review the main ideas of IGA and apply it to a reduced magnetohydrodynamic (MHD) model that is used in tokamak simulations. This is a first step towards arbitrary high-order and smooth approximations of reduced MHD generalizing the Bezier splines approach of Czarny and Huysmans( 2008 J.Comput.Phys. 227 7423-45).
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