Numerical Modeling of Coupled Ground & Surface Water Flow & Transport

该项目的目标是开发先进的数值方法来模拟地表水/地下水耦合系统中的流动和输送过程。由于相关过程以及时空尺度在耦合水系统的各个子域中可能有很大的不同，因此必须为这些子域选择不同的建模概念。PIS将调查在地下水和地表水区域强制耦合质量、动量和物质传输的适当机制。这将包括不同领域和模型之间的数学表述、算法和软件工具开发。将开发有效的离散化技术，其基础是由私人投资机构开发并适用于每个区域的主要进程的有限元技术。将分析这些方法的稳定性，并推导出先验和后验误差估计值。将研究在这些流动和传输域中精确处理不同时间尺度的时间步进策略，并将开发用于求解线性和非线性方程组的快速和稳健的求解方法。基于实验室和现场实验的典型基准问题将被制定，并将被用于验证数值方法。由此产生的方法将在分布式和网格计算平台的并行计算框架内实施。水资源的可持续管理和保护是21世纪的关键问题之一。全面、长期的水资源管理需要仔细研究地下水和地表水的相互作用。从历史上看，地下水和地表水体，如溪流、湖泊和湿地，都是孤立地研究的，没有适当考虑它们之间的相互作用。然而，最近在美国和国外收集的数据给出了地表水和地下水系统相互影响的惊人证据。例如，这些研究表明，水污染很容易从地下水传播到地表水，反之亦然。在许多情况下，初始污染的准确位置是无关紧要的，因为地下水和地表水非常接近，可能导致两者都受到污染。需要先进的计算机模拟器来研究和预测潜在有害化学物种在这些复杂环境中的移动。在这个项目中，PI将开发数学模型和最先进的计算算法和技术，以模拟大规模的地下水和地表水系统。该项目将涉及私人投资机构与政府实验室和国家机构的研究人员的合作，并将包括对研究生和本科生的培训。即将开发的技术还可能应用于其他领域，包括热和化学处理、生物医学和从大气中封存二氧化碳。

The objective of this project is to develop advanced numerical methodsfor modeling flow and transport processes in coupled surfacewater/ground water systems. As the relevant processes, and spatialand temporal scales, can strongly differ in the various subdomains ofa coupled hydrosystem, different modeling concepts must be chosen forthese subdomains. The PIs will investigate appropriate mechanisms forcoupling mass, momentum and species transport in ground water and surfacewater regions. This will include mathematical formulation andalgorithmic and software tool development between different domainsand models. Efficient discretization techniques, based on finiteelement technology developed by the PIs and adapted to the dominantprocesses in each region, will be developed. The stability ofthese methods will be analyzed, and a priori and a posteriori errorestimates will be derived. Time-stepping strategies for accuratelyhandling the different temporal scales within these flow and transportdomains will be studied, and fast and robust solution methods for theresulting linear and nonlinear systems of equations will be developed.Representative benchmark problems based on laboratory and fieldexperiments will be formulated and will be used to validate thenumerical methods. The resulting methodology will be implementedwithin a parallel computing framework for distributed and gridcomputing platforms.Sustainable management and protection of water resources is one of thekey problems of the 21st century. Comprehensive, long-range waterresource management requires a careful study of the interaction ofground water and surface water. Historically, ground water aquifersand surface water bodies, such as streams, lakes and wetlands, havebeen studied in isolation, without properly accounting for theinteractions between them. Recent data, however, collected in theUnited States and abroad, give startling evidence of the effectsurface water and ground water systems have on each other. Thesestudies indicate, for example, that water contamination can easily betransmitted from ground to surface water and vice versa. In manycases, the precise location of initial contamination is irrelevant,because the close proximity of ground and surface water can result inboth being contaminated. Advanced computer simulators are needed tostudy and predict the movement of potentially harmful chemical specieswithin these complex environments. In this project, the PIs willdevelop mathematical models and state-of-the-art computationalalgorithms and technologies for simulating large-scale ground andsurface water systems. The project will involve the collaboration ofthe PIs with researchers at government laboratories and stateagencies, and will include the training of graduate and undergraduatestudents. The technology to be developed has potential application toother areas, including thermal and chemical processing, biomedicine,and sequestration of carbon dioxide from the atmosphere.