报告题目：Finite Difference Methods on Staggered Grids for some Flow Problems

主 讲 人：芮 洪 兴

单 位：山东大学

时 间：9月16日10:00

地 点：数学院二楼会议室

腾 讯 ID：125 251 470

摘 要：

In this talk, we will give some finite difference methods (finite volume methods) on staggered grids for some flow problems, including the non-Darcy flow in porous media and wormhole propagation, the Stokes and Navier-Stokes flow, where the velocity and pressure are approximated in differential grid points. We will give the block-centered finite difference method and two-grid block-centered finite difference method to Darcy-Forchheimer (non-Darcy) flow problems in porous media and wormhole propagation. We will also give the MAC scheme for Stokes and Navier-Stokes problems, …. The approximate schemes, existence and uniqueness of the solutions, convergence, super convergence and numerical examples will be presented.

简 介：

芮洪兴，教授，博士生导师，山东大学数学学院副院长。主要研究偏微分方程数值解法、油水资源数值方法及应用等。在计算数学三大顶级期刊Number Math、SIAM J Number Anal、Math Comp，在流体力学顶级期刊J Fluid Mech等发表论文多篇。承担国家自然科学基金项目、国家科技重大专项课题、中石化勘探开发研究院课题等10多项。曾获教育部自然科学奖一等奖、山东省自然科学奖二等奖等。现任中国工业与应用数学学会常务理事兼油水资源数值方法专委会主任、山东省数学会计算数学专委会主任。