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

该奖项将支持普林斯顿大学的George Pinder教授和墨西哥墨西哥城自治大学(UNAM)的Ismael Herrera教授之间的合作研究。研究人员打算开发数学工具，使之能够有效和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程序，能够模拟地下多相地下水流动和传输的运动，并可在并行处理器超级计算机上编程。此外，还将开发基于全导数公式的最小二乘配置算法，该算法将准确地模拟呈现陡峭前沿的污染物的运动。此外，研究人员计划研究边界元技术来模拟地下非水相流体的运动，并从函数分析的角度对交替方向配置算法进行理论分析。在过去的十年里，人们在设计合适的数值方法方面做出了许多努力，这些方法可以准确地模拟地下水流动和运移模型中尖锐锋面的传播。拟议的工作将结合墨西哥方面的理论专业知识和美国方面在地下流动和输运建模方面的实践经验，有助于促进我们对此类流动问题的理解。

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.