{"title":"连接机上的二维Navier-Stokes-Kuramoto-Sivashinsky方程","authors":"S. Gama , U. Frisch","doi":"10.1016/0956-0521(95)00027-5","DOIUrl":null,"url":null,"abstract":"<div><p>The two-dimensional Navier-Stokes equations with a large scale instability of the Kuramoto-Sivashinsky type, describing marginally negative eddy viscosity situations, is simulated on a Connection Machine CM-2. Up to millions of time steps at the resolution 256<sup>2</sup> and tens of thousands at the resolution 1024<sup>2</sup> are performed. A linear growth phase, a disorganized inverse cascade phase and a structured vortical phase are successively observed. In the vortical phase monopolar and multipolar structures are proliferating and display strongly depleted nonlinearities.</p></div>","PeriodicalId":100325,"journal":{"name":"Computing Systems in Engineering","volume":"6 4","pages":"Pages 325-329"},"PeriodicalIF":0.0000,"publicationDate":"1995-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0956-0521(95)00027-5","citationCount":"1","resultStr":"{\"title\":\"The two-dimensional Navier-Stokes-Kuramoto-Sivashinsky equation on the Connection Machine\",\"authors\":\"S. Gama , U. Frisch\",\"doi\":\"10.1016/0956-0521(95)00027-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The two-dimensional Navier-Stokes equations with a large scale instability of the Kuramoto-Sivashinsky type, describing marginally negative eddy viscosity situations, is simulated on a Connection Machine CM-2. Up to millions of time steps at the resolution 256<sup>2</sup> and tens of thousands at the resolution 1024<sup>2</sup> are performed. A linear growth phase, a disorganized inverse cascade phase and a structured vortical phase are successively observed. In the vortical phase monopolar and multipolar structures are proliferating and display strongly depleted nonlinearities.</p></div>\",\"PeriodicalId\":100325,\"journal\":{\"name\":\"Computing Systems in Engineering\",\"volume\":\"6 4\",\"pages\":\"Pages 325-329\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0956-0521(95)00027-5\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computing Systems in Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0956052195000275\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computing Systems in Engineering","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0956052195000275","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The two-dimensional Navier-Stokes-Kuramoto-Sivashinsky equation on the Connection Machine
The two-dimensional Navier-Stokes equations with a large scale instability of the Kuramoto-Sivashinsky type, describing marginally negative eddy viscosity situations, is simulated on a Connection Machine CM-2. Up to millions of time steps at the resolution 2562 and tens of thousands at the resolution 10242 are performed. A linear growth phase, a disorganized inverse cascade phase and a structured vortical phase are successively observed. In the vortical phase monopolar and multipolar structures are proliferating and display strongly depleted nonlinearities.
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