报告题目：Error correction method for Navier-Stokes equations at high Reynolds numbers

报告人：王坤

时间：2016-05-24

地点：数学与统计学院一楼报告厅

摘要：In this talk, we present a new iterative method for solving the stationary Navier-Stokes equations (NSEs) at high Reynolds numbers. The method consists of first solving the NSEs by the Oseen iterative scheme and then an error correction strategy is implemented to control the error arising from the linearization of the nonlinear NSEs. The new method retains the advantage of the classical Oseen scheme, but it leads to a rapid rate of convergence and also enhance the capability for solving problems with higher Reynolds numbers. It will be shown that, under the uniqueness condition, the proposed method accelerates up to a factor of three in the convergence rate. The stability analysis and error estimate are presented. Furthermore, numerical simulations using the new method and other classical schemes are reported to verify the superior performance of the proposed method.

报告时间：5月24日上午10点

报告人简介：

王坤，重庆大学数学与统计学院副教授，硕士生导师，中国计算数学学会理事。主要从事偏微分方程数值解方面的研究，包括复杂流体力学方程、大波数Helmholtz方程的数值模拟等。2011年获西安交通大学博士学位，2013年获陕西省优秀博士论文。2012.01——2014.01在加拿大Alberta大学从事博士后研究（加拿大PIMS基金资助），应邀多次访问香港理工大学、Alberta大学等，多次在国际会议上做报告。主持和参与国家自然科学基金4项，在Journal of Computational Physics，Communications in Computational Physics等杂志上发表SCI论文20余篇。