多孔介质中单相可压缩流体流动的算例分析  

Numericalanalysis of single-phase compressible fluid flow in porous media

作　　者：朱文昌 范小林 ZHU Wen-chang;FAN Xiao-lin(School of Mathematical Sciences,Guizhou Normal University,Guiyang 550025,China)

机构地区：[1]贵州师范大学数学科学学院,贵州贵阳550025

出　　处：《湖北师范大学学报（自然科学版）》2023年第1期1-10,共10页Journal of Hubei Normal University：Natural Science

基　　金：贵州省教育厅自然科学研究资助项目(黔教合KY字〔2021〕304)。

摘　　要：介绍了三种数值格式求解多孔介质中单相单组合可压缩流动问题。单相可压缩流体的数学模型是由连续性方程、达西定律和状态方程以及初始条件和边界条件所描述。在交错网格中,经常运用块中心有限差分方法的迎风格式离散空间。三种经典的数值格式对时间项进行离散。此外,通过将数值解和解析进行解比较,验证了在单组分可压缩的情况下三种不同的数值格式的收敛性。This paper probed into the application of three numerical schemes to solve the problem of single-phase compressible fluid flow in porous media.The mathematical model of single-phase compressible fluid is composed of continuity equation,Darcy’s law and state of equation as well as initial and boundary conditions described.In staggered grids,the block-centered finite difference method is often used in combination with the space discrete items in the upwind scheme and the time item is discretized by three different numerical schemes.Furthermore,by comparing the numerical and analytical solutions,this paper verified the Convergence of single-component compressibility for the three numerical schemes.

关 键 词：块中心有限差分方法 完全显格式 完全隐格式 半隐式格式 单相可压 

分 类 号：O241.82[理学—计算数学]