Mathematical Sciences: Scientific Computing And Problems In Nature

数学科学：科学计算和自然问题

• 批准号: 9307914
• 负责人: Nathaniel Whitaker
• 金额: $ 6万
• 依托单位: University of Massachusetts Amherst
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-07-15 至 1997-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9307914&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Scientific; Computing; Problems

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. ***

小行星9307914 研究人员开发了精确的方法来模拟不同粘度的流体之间的界面，基于体积分数。 这些方法的目的是处理更困难的问题，如流体绕障碍物流动。 此外，还用数值方法探讨了湍流相干结构的统计平衡理论。 这里使用的方法是基于最大化的熵受守恒量的流量。 该公式基于欧拉方程。 研究人员最近还开发了一种DNA模型，将与自然界中的实际DNA进行比较。 这个模型将用来回答有关DNA的一些问题。 研究人员开发精确的方法来求解描述两种不同流体之间界面演化的方程。 这种类型的界面出现在例如二次采油中，其中水用于排出剩余的油。水和油之间的界面的稳定性对于油的有效回收是重要的。 此外，一些简化的流体流动模型的发展和解决调查的一些基本性质的湍流。 流体可以是机翼周围的空气。 本研究的重点是预测相干结构。 研究人员最近还开发了一种DNA模型，将其与自然界中实际DNA的数据进行比较。 这个模型将被用来解决一些关于DNA的基本重要性。 ***