Faculty Award for Women Scientists and Engineers (FAW)

针对计算流体力学中出现的偏微分方程解的新的数值算法进行了研究。感兴趣的问题包括在二维和三维可压缩和不可压缩流动中使用新的自适应网格技术，包括燃烧和高超声速流动的化学项，以及SIMD体系结构(如Connection Machine)对任何类型的自适应网格算法的适用性。在开展拟议的研究时，计算机科学技术将与数值计算的数学相结合。

Research is proposed in the development of novel numerical algorithms for the solution of partial differential equations arising in computational fluid dynamics. Issues of interest include the use of novel adaptive grid techniques for compressible and incompressible flows in two and three dimensions, the inclusion of chemistry terms for combustion and hypersonic flow and the suitability of SIMD architectures, such as the Connection Machine, for any type of adaptive grid algorithms. Computer science techniques will be combined with the mathematics of numerical computations in carrying out the proposed research.