Superconvergence of MAC Scheme for Stokes and Navier-Stokes Equations on non-uniform grids 2元彩票网大乐透走势图|老板发2元彩票

文化學術海報

Superconvergence of MAC Scheme for Stokes and Navier-Stokes Equations on non-uniform grids

發布時間:2019-03-27作者:數學與統計學院出處:數學與統計學院責任編輯:信息部

報告題目:Superconvergence of MAC Scheme for Stokes and Navier-Stokes Equations on non-uniform grids

主講人:芮洪興

時 間:2019.3.28(周四)下午3:30

地 點:機電樓C310

報告摘要:

The marker and cell (MAC) method, a finite volume or finite difference method based on staggered grids, has been one of the simplest and most effective numerical schemes for solving the Stokes and Navier-Stokes equations. The superconvergence on uniform grids for Stokes equations has been observed  since 1992 but numerical analysis was not obtained completely.

In this talk we will present the second order superconvergence in L2 norm for both velocity and pressure for the MAC scheme for Stokes and Navier-Stokes equations. We also obtain the second order superconvergence for some terms of  H1 norm of the velocity, and the other terms of H1 norm are second order superconvergence on uniform grids.  Numerical experiments using the MAC scheme show  agreement of the numerical results  with theoretical analysis.        Some corresponding and extended results such as MAC finite difference based on staggered grids for Darch-Forchheimer and Stokes-Darcy problems are also mentioned.

主講人簡介:

芮洪興,山東大學數學學院教授,博士生導師。中國工業與應用數學學會常務理事、中國計算物理學會常務理事。曾任中國計算數學學會常務理事。主要從事計算數學和應研究。涉及偏微分方程數值解法,科學與工程計算,滲流力學,油水資源數值模擬方法及應用軟件。在有限元方法,混合元方法,有限體積元,特征線算法,區域分裂及并行算法,以及油水資源數值模擬方法研究方面發表論文150余篇,其中 SCI100余篇。

數學與統計學院

2019.3.25


2元彩票网大乐透走势图