Mathematical Sciences: Applied and Computational Mathematicsand Experimental Analysis

在这个项目中，首席研究员和他的 同事们将继续研究各方面的问题， 应用数学、数值分析和流体动力学。 在 特别是，他们将进行分析，数字和 具有自由边界的粘性流动的实验研究， 管道和通道内的粘性流动，各种水波 问题和波浪在倾斜海滩上的行为。 他们 将进行数值技术的理论分析，如 多重网格方法在解决流体问题上非常重要， 超出目前分析能力的现象 和实验。 流体动力学现象的研究提供了一个挑战 应用数学家，因为这么多的工作涉及到一个 数学的三种基本技术之间的相互作用 分析、数值计算和实验室试验。 鉴于学科的跨学科性质， 让应用数学家和实验学家合作 和计算科学家，为了成功地解决 涉及流体流动的困难和重要问题。 在这 首席研究员组建了一个完美的团队 由流体力学家组成。数字分析师和 实验主义者 他们的目标是继续他们的重要工作 对粘性流体动力学的理解和量化 水流和水波。

In this project the principal investigator and his colleagues will continue their research on various aspects of applied mathematics, numerical analysis and fluid dynamics. In particular, they will conduct analytical, numerical and experimental studies of viscous flows with free boundaries and viscous flows inside pipes and channels, a variety of water wave problems and the behavior of waves on sloping beaches. And they will perform theoretical analyses of numerical techniques like multi-grid methods that are so essential in resolving fluid phenomena that are beyond the present capabilities of analysis and experimentation. The study of fluid dynamical phenomena provides a challenge to applied mathematicians because so much of the work involves an interplay among the three basic techniques of mathematical analysis, numerical computation and laboratory experimentation. Given the interdisciplinary nature of the subject it is essential for applied mathematicians to collaborate with experimentalists and computational scientists, in order to tackle successfully difficult and important problems involving fluid flow. In this project the principal investigator has assembled the perfect team consisting of fluid dynamicists. numerical analysts and experimentalists. Their goal is to continue their important work on understanding and quantifying the fluid dynamics of viscous flows and water waves.