U.S.-Mexico Cooperative Research: Development and Application of Numerical Techniques For Groundwater Simulation

该奖项将支持教授之间的合作研究 普林斯顿大学的乔治·平德和伊斯梅尔·埃雷拉教授 墨西哥自治大学（Universidad Autonoma de Mexico，UNAM） 墨西哥 研究人员打算开发数学工具 可以高效准确地模拟地下水 流动和运输。 更具体地说，他们将设计一个 交替方向配置计算机代码，能够 模拟地下水多相流运动， 在地下运输，并可编程的并行 处理器超级计算机。 此外，最小二乘配置 算法将被开发，基于总导数 公式，这将准确地模拟运动， 污染物呈现陡峭的前沿。 此外，研究人员 我计划研究边界元技术来模拟 地下非水相流体的运动和携带 对交替方向搭配进行了理论分析 算法从功能分析的角度。 在过去的十年里，在设计 适当的数值方法，可以准确地模拟 地下水流动和输送中锐锋的传播 建模 拟议的工作将有助于推进我们的 通过结合理论分析， 墨西哥方面的专业知识与实际经验的 美国方面的地下水流和输运建模。

This award will support collaborative research between Professor George Pinder of Princeton University and Professor Ismael Herrera of the Universidad Autonoma de Mexico (UNAM) in Mexico City, Mexico. The investigators intend to develop mathematical tools that allow the efficient and accurate simulation of groundwater flow and transport. More specifically, they will design an alternating direction collocation computer code, capable of simulating the movement of multiphase groundwater flow and transport in the subsurface, and programmable for a parallel processor supercomputer. Further, a least squares collocation algorithm will be developed, based upon a total derivative formulation, that will accurately simulate the movement of contaminants exhibiting steep fronts. In addition, the researchers plan to look at boundary element techniques to simulate the movement of non-acqueous phase fluids in the subsurface and carry out a theoretical analysis of the alternation direction collocation algorithm from a functional analysis point of view. Many efforts have been made over the last ten years in devising appropriate numerical methods that can accurately simulate the propagation of sharp fronts in groundwater flow and transport modeling. The proposed work will serve to advance our understanding of such flow problems by combining the theoretical expertise of the Mexican side with the practical experience of the U.S. side in subsurface flow and transport modeling.