报告题目：基于集合的参数化流体问题的快速算法

（Efficient algorithms for simulating ensembles of parameterized flow problems）

报 告 人：王柱  美国南卡罗来纳大学副教授

时    间：2018年6月26号（周二）下午16:30

地    点：文理楼254报告厅

报告摘要：Many computational fluid dynamics applications require multiple simulations of a flow under different input conditions. In this talk, we consider such settings for which one needs to perform a sequence of simulations based on the Navier-Stokes equations, each having different initial condition data, boundary condition data, forcing functions, and/or coefficients such as the viscosity. For such settings, we propose ensemble methods to accelerate the solutions. The main idea is to manipulate the time-stepping scheme so that all the problems could share a common coefficient matrix, then, instead of solving a sequence of linear systems with one right-hand-side vector, the method needs to solve one linear system with multiple right-hand-sides. The computational efficiency is then improved by using block iterative algorithms. Rigorous analyses are given proving the conditional stability and establishing error estimates for the proposed algorithms. Numerical experiments are presented to illustrate the analyses.

报告人简介：

王柱，美国南卡罗来纳大学数学系副教授、美国工业与应用数学学会（SIAM）成员。主要从事微分方程数值解、降阶模型的设计分析、 高性能科学计算及其 应用等方面的研究。至今已在SIAM Journal of Numerical Analysis, SIAM Journal of Scientific Computing, Mathematics of Computation等杂志发表科研论文40余篇。先后主持由美国国家科学基金会(NSF)和美国能源部(DOE)等联邦机构资助的科研项目。

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    2018-06-22