Integrated Analytical/Numerical Methods for Advanced Scientific Computing Applications

本研究关注的是 多尺度问题的数值方法 拟 应用“助推器”或“广义误差修正” (GEM)方法结合了渐近逼近与 数值离散方法1）层流在高 雷诺数，2）不同时间的时间相关流 尺度，3）低普朗特数热对流，和4） 湍流输运模型 当地人的婚姻 渐近与整个GEM框架，并利用 并行计算将提高求解效率 上述问题至少有一个数量级。

This research is concerned with the development of numerical methods for multiple scales problems. It is proposed to apply the "booster" or "generalized error modification" (GEM) method which combines an asymptotic apporach with numerical discretization methods on 1) laminar flows at high Reynolds numbers, 2) time dependent flows with disparate time scales, 3) low-Prandtl number thermal convection, and 4) turbulent transport modeling. The marriage of local asymptotics with the overall GEM framework, and exploitation of parallel computing will improve the efficiency of solution of the aforementioned problems by at least an order of magnitude.