Mathematical Sciences: Random Vortex Method

数学科学：随机涡旋法

• 批准号: 9014826
• 负责人: Alan Weinstein
• 金额: $ 3.39万
• 依托单位: University of California-Berkeley
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-03-01 至 1994-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9014826&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Random; Vortex; Method

The principal investigators undertake research in the convergence of the random vortex method for solving the time-dependent Navier-Stokes equations. They concentrate on time discretization, dependence on viscosity, and flow in a half-plane. In addition,they propose calculations of turbulent flow past a sphere. Vortex methods are techniques for computing fluid flows; such problems arise often in science and engineering. Three-dimensional flows are common in real problems, but difficult to compute. This research extends the theory of two-dimensional vortex methods and applies them to a touchstone three-dimensional problem.

主要研究人员致力于随机涡旋方法的收敛性研究，以求解瞬态纳维-斯托克斯方程。 他们专注于时间离散、粘度依赖性以及半平面内的流动。 此外，他们还提出了经过球体的湍流计算。 涡流法是计算流体流量的技术； 此类问题在科学和工程领域经常出现。 三维流在实际问题中很常见，但难以计算。 这项研究扩展了二维涡旋方法的理论，并将其应用于试金石三维问题。