{"title":"微系统气体流动玻尔兹曼方程和晶格玻尔兹曼方程数值解的分裂方法","authors":"G. Krivovichev, E. S. Marnopolskaya","doi":"10.1109/BALD.2016.7886538","DOIUrl":null,"url":null,"abstract":"The modification of the splitting method for single kinetic equation or for the system of kinetic equations with discrete velocities is considered. The modification is based on the iterative procedure for the implicit Euler approximation on the collision stage of the method. The optimization problem for the hybrid scheme for linear equation of an advection stage is solved. Reported results may be applied in fluid and gas dynamics problems for the flows in natural and mechanical microsystems.","PeriodicalId":328869,"journal":{"name":"2016 14th International Baltic Conference on Atomic Layer Deposition (BALD)","volume":"352 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On the splitting method for the numerical solution of Boltzmann and lattice Boltzmann equations for gas flows in microsystems\",\"authors\":\"G. Krivovichev, E. S. Marnopolskaya\",\"doi\":\"10.1109/BALD.2016.7886538\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The modification of the splitting method for single kinetic equation or for the system of kinetic equations with discrete velocities is considered. The modification is based on the iterative procedure for the implicit Euler approximation on the collision stage of the method. The optimization problem for the hybrid scheme for linear equation of an advection stage is solved. Reported results may be applied in fluid and gas dynamics problems for the flows in natural and mechanical microsystems.\",\"PeriodicalId\":328869,\"journal\":{\"name\":\"2016 14th International Baltic Conference on Atomic Layer Deposition (BALD)\",\"volume\":\"352 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 14th International Baltic Conference on Atomic Layer Deposition (BALD)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/BALD.2016.7886538\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 14th International Baltic Conference on Atomic Layer Deposition (BALD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/BALD.2016.7886538","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the splitting method for the numerical solution of Boltzmann and lattice Boltzmann equations for gas flows in microsystems
The modification of the splitting method for single kinetic equation or for the system of kinetic equations with discrete velocities is considered. The modification is based on the iterative procedure for the implicit Euler approximation on the collision stage of the method. The optimization problem for the hybrid scheme for linear equation of an advection stage is solved. Reported results may be applied in fluid and gas dynamics problems for the flows in natural and mechanical microsystems.
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