Topics in Modeling & Numerical Simulation in Applied Mathematics

建模主题

• 批准号: 9500876
• 负责人: Jim Douglas
• 金额: $ 20.25万
• 依托单位: Purdue Research Foundation
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-06-15 至 1999-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9500876&HistoricalAwards=false
• 关键词: Topics; Modeling; & Numerical; Simulation

DMS-9504556 Douglas The object of this project is to continue the study of the modeling, analysis, and design of parallelizable numerical methods for the simulation of multiphase, multicomponent flow in multilength scale, heterogeneous porous media. Ongoing modeling work focuses on multiphase flow in fractured porous media. The mathematical theory of homogenization will be used in the derivation of new models to describe flow in partially fissured media. Model derivation and parallel software development will be pursued in the context of describing the transport of nuclear waste in fractured porous media. These problems are modeled as single phase, multicomponent flows. The problem of consolidation of clay formations will also be addressed. Both accurate models and numerical methods for the solution of governing systems of equations will be considered. Important applications which will benefit from this work include secondary oil recovery processes, the ecological problem of transport of nuclear waste in groundwater, and the design and analysis of large structures such as dams and multistory buildings. New software packages appropriate for state-of-the-art MIMD machines will be designed and implemented to solve numerically realistic fluid flow problems of the natures described above.

DMS-9504556道格拉斯本项目的目标是继续研究模拟多长度尺度多相、多组分流动的可并行数值方法的建模、分析和设计， 非均质多孔介质正在进行的建模工作侧重于 裂缝性多孔介质中的多相流均匀化的数学理论将用于推导描述部分裂隙介质中流动的新模型。模型推导和并行软件开发将在描述核废料在裂隙多孔介质中的运输的背景下进行。 这些问题被建模为单相，多组分流。 粘土地层的固结问题也将得到解决。精确的模型和数值方法的解决方案的控制系统的方程将被考虑。 重要的应用，将受益于这项工作，包括二次采油过程中，地下水中的核废料运输的生态问题，以及大型结构，如大坝和多层建筑物的设计和分析。新的软件包适合国家的最先进的MIMD机器将被设计和实施，以解决数字现实的流体流动 上述性质的问题。