A. Kaźmierczak, P. Plotnikov, J. Sokołowski, A. Zochowski
{"title":"Numerical method for drag minimization in compressible flows","authors":"A. Kaźmierczak, P. Plotnikov, J. Sokołowski, A. Zochowski","doi":"10.1109/MMAR.2010.5587258","DOIUrl":null,"url":null,"abstract":"In the series of papers the mathematical theory of shape optimization for compressible Navier-Stokes inhomo-geneous boundary value problems is developed. The key part of the theory include the new results on the existence and shape differentiability of the weak solutions to compressible Navier-Stokes equations. In particular, our results lead to the rigorous mathematical framework for the drag minimization of an obstacle in the flow of gas with small adiabatic constant.","PeriodicalId":336219,"journal":{"name":"2010 15th International Conference on Methods and Models in Automation and Robotics","volume":"23 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 15th International Conference on Methods and Models in Automation and Robotics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMAR.2010.5587258","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
In the series of papers the mathematical theory of shape optimization for compressible Navier-Stokes inhomo-geneous boundary value problems is developed. The key part of the theory include the new results on the existence and shape differentiability of the weak solutions to compressible Navier-Stokes equations. In particular, our results lead to the rigorous mathematical framework for the drag minimization of an obstacle in the flow of gas with small adiabatic constant.