{"title":"Computational model of stationary flow with integral nonlocal boundary conditions","authors":"Altyngazy Karimov, Alexei Kavokin, Saule Kattabekova","doi":"10.1109/icecco53203.2021.9663789","DOIUrl":null,"url":null,"abstract":"A finite-difference numerical method for solving the model represented by the Poisson equation with integral non-local boundary conditions is considered. The model describes the steady flow of fluid near the well under the condition of a known total flow both on the well contour and on the permeable part of the domain boundary. The model describes one of the possible situations in well-logged oil production. The problems of existence and uniqueness of the solution to this problem are discussed. Peaceman–Rachford type method used to construct a difference scheme.","PeriodicalId":331369,"journal":{"name":"2021 16th International Conference on Electronics Computer and Computation (ICECCO)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 16th International Conference on Electronics Computer and Computation (ICECCO)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/icecco53203.2021.9663789","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A finite-difference numerical method for solving the model represented by the Poisson equation with integral non-local boundary conditions is considered. The model describes the steady flow of fluid near the well under the condition of a known total flow both on the well contour and on the permeable part of the domain boundary. The model describes one of the possible situations in well-logged oil production. The problems of existence and uniqueness of the solution to this problem are discussed. Peaceman–Rachford type method used to construct a difference scheme.