Finite Volume Element Methods for Flow Problems in Porous Media

多孔介质流动问题的有限体积元方法

• 批准号: 0074259
• 负责人: So-Hsiang Chou
• 金额: $ 8.5万
• 依托单位: Bowling Green State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-08-15 至 2003-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0074259&HistoricalAwards=false
• 关键词: Finite; Volume; Element; Methods; Flow

Chou0074259 The investigator studies the convergence, stability, and superconvergence of finite volume element type methods, and implements algorithms in software. A general framework is developed for mixed control volume methods on irregular grids. Furthermore, nonlinear covolume methods applied to parabolic differential and integro-differential equations are studied. Fluid flow problems such as chemical or radioactive contaminant transport in subsurface reservoir flow, displacement of oil in the oil recovery process, and bioremediation of aquifers, are complex and difficult to simulate computationally. Yet they are important for the environment and for managing energy resources. The investigator develops, analyzes, and implements a class of computational methods called finite volume element methods that seem to have some advantages over other methods but that have not been rigorously analyzed yet. The analysis undertaken in the project should establish a firm theoretical footing for the methods. This is important for the reliability and validity of computations performed with the methods.

丑0074259 研究有限体积元类型方法的收敛性，稳定性和超收敛性，并在软件中实现算法。 提出了一种不规则网格上的混合控制体积法的通用框架。进一步研究了非线性体积元方法在抛物型微分方程和积分微分方程中的应用。 流体流动问题，如地下储层流动中的化学或放射性污染物输运、石油开采过程中的石油驱替以及含水层的生物修复，是复杂的，难以通过计算模拟。 然而，它们对于环境和能源管理非常重要。 研究人员开发，分析和实现一类称为有限体积元方法的计算方法，这些方法似乎比其他方法具有一些优势，但尚未进行严格的分析。 在项目中进行的分析应该为这些方法奠定坚实的理论基础。 这对于用该方法进行的计算的可靠性和有效性是重要的。