{"title":"一种三维模型的数值研究粘滞液体的运动在一个圆形的明渠","authors":"T. Toktakunov, K. T. Osmonov","doi":"10.35803/1694-5298.2021.4.700-711","DOIUrl":null,"url":null,"abstract":"The article considers the statistically stationary flow of a viscous incompressible liquid at the turn of an open inclined channel of a rectangular cross-section with large Reynolds numbers. A three-dimensional numerical model with a periodic boundary condition along the curvilinear axis of the main flow is proposed. Three-layer boundary conditions are placed on the wall and near the channel wall, and zero tangential voltage conditions are placed on the free surface. To solve the problem, the predictor-corrector scheme of the method of fractional steps by horizontal coordinates and with a cosine-oidal spectral function by vertical coordinate are used. A general algorithm for solving the problem with an isoperimetrically optimized cross-section parameter is compiled.","PeriodicalId":427236,"journal":{"name":"The Heralds of KSUCTA, №4, 2021","volume":"20 1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"THREE-DIMENSIONAL MODEL FOR NUMERICAL STUDY OF THE MOVEMENT OF A VISCOUS LIQUID ON THE ROUNDING OF AN OPEN CHANNEL\",\"authors\":\"T. Toktakunov, K. T. Osmonov\",\"doi\":\"10.35803/1694-5298.2021.4.700-711\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The article considers the statistically stationary flow of a viscous incompressible liquid at the turn of an open inclined channel of a rectangular cross-section with large Reynolds numbers. A three-dimensional numerical model with a periodic boundary condition along the curvilinear axis of the main flow is proposed. Three-layer boundary conditions are placed on the wall and near the channel wall, and zero tangential voltage conditions are placed on the free surface. To solve the problem, the predictor-corrector scheme of the method of fractional steps by horizontal coordinates and with a cosine-oidal spectral function by vertical coordinate are used. A general algorithm for solving the problem with an isoperimetrically optimized cross-section parameter is compiled.\",\"PeriodicalId\":427236,\"journal\":{\"name\":\"The Heralds of KSUCTA, №4, 2021\",\"volume\":\"20 1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-12-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Heralds of KSUCTA, №4, 2021\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.35803/1694-5298.2021.4.700-711\",\"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 Heralds of KSUCTA, №4, 2021","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.35803/1694-5298.2021.4.700-711","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
THREE-DIMENSIONAL MODEL FOR NUMERICAL STUDY OF THE MOVEMENT OF A VISCOUS LIQUID ON THE ROUNDING OF AN OPEN CHANNEL
The article considers the statistically stationary flow of a viscous incompressible liquid at the turn of an open inclined channel of a rectangular cross-section with large Reynolds numbers. A three-dimensional numerical model with a periodic boundary condition along the curvilinear axis of the main flow is proposed. Three-layer boundary conditions are placed on the wall and near the channel wall, and zero tangential voltage conditions are placed on the free surface. To solve the problem, the predictor-corrector scheme of the method of fractional steps by horizontal coordinates and with a cosine-oidal spectral function by vertical coordinate are used. A general algorithm for solving the problem with an isoperimetrically optimized cross-section parameter is compiled.
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