{"title":"用半拉格朗日方法测试插值和滤波技术","authors":"M. van Loon","doi":"10.1016/0960-1686(93)90403-L","DOIUrl":null,"url":null,"abstract":"<div><p>In air pollution models, semi-Lagrangian methods are often used to solve the advective part of the corresponding model equations. Interpolation is an essential part of these methods. In this paper, five different interpolation methods will be discussed and results of numerical experiments will be presented. To keep the concentration field non-negative, filtering techniques are used. A monotone interpolation method is also examined.</p></div>","PeriodicalId":100139,"journal":{"name":"Atmospheric Environment. Part A. General Topics","volume":"27 15","pages":"Pages 2351-2364"},"PeriodicalIF":0.0000,"publicationDate":"1993-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0960-1686(93)90403-L","citationCount":"7","resultStr":"{\"title\":\"Testing interpolation and filtering techniques in connection with a semi-Lagrangian method\",\"authors\":\"M. van Loon\",\"doi\":\"10.1016/0960-1686(93)90403-L\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In air pollution models, semi-Lagrangian methods are often used to solve the advective part of the corresponding model equations. Interpolation is an essential part of these methods. In this paper, five different interpolation methods will be discussed and results of numerical experiments will be presented. To keep the concentration field non-negative, filtering techniques are used. A monotone interpolation method is also examined.</p></div>\",\"PeriodicalId\":100139,\"journal\":{\"name\":\"Atmospheric Environment. Part A. General Topics\",\"volume\":\"27 15\",\"pages\":\"Pages 2351-2364\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0960-1686(93)90403-L\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Atmospheric Environment. Part A. General Topics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/096016869390403L\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Atmospheric Environment. Part A. General Topics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/096016869390403L","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Testing interpolation and filtering techniques in connection with a semi-Lagrangian method
In air pollution models, semi-Lagrangian methods are often used to solve the advective part of the corresponding model equations. Interpolation is an essential part of these methods. In this paper, five different interpolation methods will be discussed and results of numerical experiments will be presented. To keep the concentration field non-negative, filtering techniques are used. A monotone interpolation method is also examined.