Motofumi Hattori, Yuki Nakajtma, Shunsuke Murai, Y. Seta, Miyuki Fujii, M. Tanabe
{"title":"不可压缩流体动力学CG动画的粒子法数值振荡问题","authors":"Motofumi Hattori, Yuki Nakajtma, Shunsuke Murai, Y. Seta, Miyuki Fujii, M. Tanabe","doi":"10.1109/GCCE.2012.6379600","DOIUrl":null,"url":null,"abstract":"The discrete time Navier-Stokes equation (22) by the semi-implicit lime evolution scheme gives an approximate solution to the incompressible Navier-Stokes equation (4). But the pressure P* and the posidon U* in die equation (22) do not satisfy die incompressibility (2), Thus die computed pressure P* oscillates numerically. The discrete lime Navier-Slokes equation (22) must be modified in order to converge to die Navier-Stokes equation (4).","PeriodicalId":299732,"journal":{"name":"The 1st IEEE Global Conference on Consumer Electronics 2012","volume":"80 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A numerical oscillation problem of particle methods for CG animations of incompressible fluid dynamics\",\"authors\":\"Motofumi Hattori, Yuki Nakajtma, Shunsuke Murai, Y. Seta, Miyuki Fujii, M. Tanabe\",\"doi\":\"10.1109/GCCE.2012.6379600\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The discrete time Navier-Stokes equation (22) by the semi-implicit lime evolution scheme gives an approximate solution to the incompressible Navier-Stokes equation (4). But the pressure P* and the posidon U* in die equation (22) do not satisfy die incompressibility (2), Thus die computed pressure P* oscillates numerically. The discrete lime Navier-Slokes equation (22) must be modified in order to converge to die Navier-Stokes equation (4).\",\"PeriodicalId\":299732,\"journal\":{\"name\":\"The 1st IEEE Global Conference on Consumer Electronics 2012\",\"volume\":\"80 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-12-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The 1st IEEE Global Conference on Consumer Electronics 2012\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/GCCE.2012.6379600\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 1st IEEE Global Conference on Consumer Electronics 2012","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/GCCE.2012.6379600","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A numerical oscillation problem of particle methods for CG animations of incompressible fluid dynamics
The discrete time Navier-Stokes equation (22) by the semi-implicit lime evolution scheme gives an approximate solution to the incompressible Navier-Stokes equation (4). But the pressure P* and the posidon U* in die equation (22) do not satisfy die incompressibility (2), Thus die computed pressure P* oscillates numerically. The discrete lime Navier-Slokes equation (22) must be modified in order to converge to die Navier-Stokes equation (4).