Mathematical Sciences: Theoretical and Computational Aspectsof Turbulence

这项研究将考虑理论和计算 流体湍流的各个方面。 研究小组将联合收割机 理论、应用和数值分析领域的专家， 科学计算和计算机科学。 的最新进展 计算机现在已经创造了足够的计算能力， 基于Navier分析湍流中的重要问题， 斯托克斯模型。 然而，计算能力本身并不是 足以解决真正的问题。 并行 本研究中的理论和计算流将提供 相互启发和验证。 算法开发 更有效地利用新一代计算机 将被考虑。 数值实验来测试 目前的超级计算机和算法也将成为其中的一部分 工作 湍流是流体力学中的一个基本问题。 一个更 对湍流的全面了解将有助于改进 先进飞机和流体机械的设计。

This research will consider theoretical and computational aspects of fluid turbulence. The research group will combine experts in the areas of theory, applied and numerical analysis, scientific computation, and computer science. Recent advances in computers have now created sufficient computational power to analyze significant problems in turbulent flows based on Navier- Stokes models. However, computing power in and of itself is not sufficient to solve the true problems of interest. The parallel streams of theory and computation in this research will provide mutual inspiration and validation. Development of algorithms which make more effective use of the new generation of computers will be considered. Numerical experiments to test the limits of current supercomputers and algorithms will also be part of this work. Turbulence is a basic problem in fluid mechanics. A more complete understanding of turbulence will lead to improvement in the design of advanced aircraft and fluid machinery.