{"title":"A PROPOSAL OF A VORTICITY ESTIMATION METHOD WITH MLS AND PTV AND ITS APPLIACATION TO FLOWS UNDER WIND WAVES","authors":"K. Takehara, T. Etoh","doi":"10.2208/JSCEJB.65.151","DOIUrl":null,"url":null,"abstract":"A method to measure two-dimensional vorticity fields was developed by combining MLS, the Moving Least Square method, with PTV. A velocity vector at a grid point is approximated with a pair of quadratic functions fitted to velocity vectors at particle positions estimated by PTV which randomly distributed around the grid point. The vorticity is calculated by differentiating the quadratic functions. A two-dimensional Gaussian weight function is employed for fitting. The size of the interrogation area is represented with the standard deviation of the weight function. The expression","PeriodicalId":11343,"journal":{"name":"Doboku Gakkai Ronbunshuu B","volume":"23 1","pages":"151-165"},"PeriodicalIF":0.0000,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Doboku Gakkai Ronbunshuu B","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2208/JSCEJB.65.151","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
A method to measure two-dimensional vorticity fields was developed by combining MLS, the Moving Least Square method, with PTV. A velocity vector at a grid point is approximated with a pair of quadratic functions fitted to velocity vectors at particle positions estimated by PTV which randomly distributed around the grid point. The vorticity is calculated by differentiating the quadratic functions. A two-dimensional Gaussian weight function is employed for fitting. The size of the interrogation area is represented with the standard deviation of the weight function. The expression