Finite difference methods on staggered grids for some flow problems

报告人： 芮洪兴 教授 （山东大学数学学院）。

时间地点：12月22日（本周五）下午4--5点，数学院425.

报告摘要： In this talk we will give some finite difference methods (finite volume methods) on staggered grids for some flow problems, including the flow in porous media and the 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. We will also give the MAC scheme for stationary and time-dependent Stokes problems, …. The approximate schemes, existence and uniqueness of the solutions, error estimates and numerical examples will be presented.