High Resolution Numerical Methods for Compressible Multi- Phase Flow in Hierarchial Porous Media

复杂的多相化学、对流主导的三维流体流动和多孔介质中的非均质等级是现代提高采收率和污染物运移建模的基本特征。为了模拟这些问题的流体流动，研究者将开发高阶有限差分方法，结合复杂的相位行为算法和自适应网格细化。这些技术将应用于当前提高采油工艺和污染物输送中出现的实际工程问题。由于密集的计算工作，所有的算法都将被设计为在现代超级计算机上有效地实现，并且将采用有效的可视化技术。

Complex multiphase chemistry, convection-dominated three- dimensional fluid flow, and hierarchies of heterogeneities in porous media are essential features in modeling of modern enhanced oil recovery and the transport of contaminants. In order to simulate fluid flows for these problems, the investigator will develop higher-order finite difference methods, in combination with sophisticated phase behavior algorithms and adaptive mesh refinement. These techniques will be applied to realistic engineering problems occurring in current enhanced oil recovery processes and contaminant transport. Because of the intense computational effort, all of the algorithms will be designed for efficient implementation on modern supercomputers, and effective visualization techniques will be employed.