Mathematical Sciences: Scientific Computing And Problems In Nature

研究人员开发了基于体积分数的不同粘度流体之间界面建模的精确方法。这些方法的发展目标是处理更难的问题，如围绕障碍物的流体流动。此外，本文还用数值方法探讨了湍流中相干结构的统计平衡理论。这里使用的方法是基于最大熵服从于流的守恒量。这个公式是以欧拉方程为基础的。研究人员最近还开发了一种DNA模型，将与自然界的实际DNA进行比较。这个模型将被用来回答一些关于DNA的猜想。研究者开发了精确的方法来求解描述两种不同流体之间界面演变的方程。例如，这种类型的界面发生在二次采油中，水被用来排出剩余油。油水界面的稳定性对有效采油具有重要意义。此外，本文还建立并求解了一些简化的流体流动模型，以研究湍流的一些基本性质。这种液体可能是飞机机翼周围的空气。本研究的重点是预测连贯结构。研究人员最近还开发了一种DNA模型，将与自然界中实际的DNA数据进行比较。这个模型将被用来解决一些关于DNA的猜想，这些猜想是至关重要的。* * *

9307914 Whitaker The investigator develops accurate methods for modeling the interface between fluids of different viscosities, based on volume fractions. The methods are developed with the goal of handling harder problems such as fluid flow around an obstacle. Also, statistical equilibrium theories of coherent structures in turbulence are explored using numerical methods. The approach used here is based on maximizing an entropy subject to the conserved quantities of the flow. This formulation is based on the Euler's equations. The investigator has also recently developed a model of DNA which will be compared to actual DNA in nature. This model will be used to answer some conjectures about DNA. The investigator develops accurate methods for solving equations describing the evolution of an interface between two different fluids. This type of interface occurs, for example, in secondary oil recovery where water is used to expel remaining oil. The stability of the interface between the water and oil is important for efficient recovery of the oil. In addition, some simplified models of fluid flow are developed and solved to investigate some fundamental properties of turbulence. The fluid could be air around an airplane wing. This research focuses on predicting coherent structures. The investigator has also recently developed a model of DNA which will be compared to data from actual DNA in nature. This model will be used to address some conjectures about DNA which are of fundamental importance. ***