{"title":"强化采油数值模拟的特征差分方法和 I 2 估计","authors":"袁益让","doi":"10.1360/ZA1993-23-8-801","DOIUrl":null,"url":null,"abstract":"对于二维、多组分、多相、不可压缩混合流体组成的注化学溶液(如表面活性剂、醇、聚合物)强化采油数值模拟的特征差分方法及其收敛性分析,其数学模型是一组非线性偶合偏微分方程组的初、边值问题。在考虑相互干扰有界区域的一般情况下,本文提出一类特征差分格式,利用粗细网格配套、变分形式、先验估计理论和技巧,得到了最佳阶的l~2误差估计结果。彻底解决了Douglas所提出的著名问题。","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"强化采油数值模拟的特征差分方法和 I 2 估计\",\"authors\":\"袁益让\",\"doi\":\"10.1360/ZA1993-23-8-801\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"对于二维、多组分、多相、不可压缩混合流体组成的注化学溶液(如表面活性剂、醇、聚合物)强化采油数值模拟的特征差分方法及其收敛性分析,其数学模型是一组非线性偶合偏微分方程组的初、边值问题。在考虑相互干扰有界区域的一般情况下,本文提出一类特征差分格式,利用粗细网格配套、变分形式、先验估计理论和技巧,得到了最佳阶的l~2误差估计结果。彻底解决了Douglas所提出的著名问题。\",\"PeriodicalId\":256661,\"journal\":{\"name\":\"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science\",\"volume\":\"24 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-08-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1360/ZA1993-23-8-801\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1360/ZA1993-23-8-801","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}