報(bào)告題目：MAC Finite difference methods on non-uniform staggered grids for some flow problems

報(bào) 告 人：芮洪興

報(bào)告時(shí)間：2024年12月1日14:30--15:30

報(bào)告地點(diǎn)： 蓮花街校區(qū)惟德樓315會(huì)議室

報(bào)告人照片：

報(bào)告人簡(jiǎn)介：

芮洪興，山東大學(xué)二級(jí)教授、博士生導(dǎo)師，主要從事偏微分方程數(shù)值方法、多孔介質(zhì)滲流及流體的數(shù)值計(jì)算及應(yīng)用研究。在SINUM，Numer Math，Math Comp，M3AS,CMAME，JCP，JFM等頂級(jí)期刊發(fā)表多篇高水平論文。主持國(guó)家自然科學(xué)基金重點(diǎn)項(xiàng)目等，曾獲教育部自然科學(xué)二等獎(jiǎng)，山東省自然科學(xué)二等獎(jiǎng)等。現(xiàn)任山東工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)副理事長(zhǎng)、山東數(shù)學(xué)會(huì)計(jì)算數(shù)學(xué)專委會(huì)主任。曾任中國(guó)工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)常務(wù)理事兼油水資源數(shù)值方法專委會(huì)主任、中國(guó)計(jì)算數(shù)學(xué)學(xué)會(huì)常務(wù)理事等。

報(bào)告內(nèi)容簡(jiǎn)介：

In this talk we will present some MAC 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 also give the MAC scheme for Stokes and Navier-Stokes problems, non-Darcy problems, Coupled Stokes-Darcy problems,….The approximate schemes, existence and uniqueness of the solutions, convergence, superconvergence and numerical examples will be presented.

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數(shù)學(xué)與統(tǒng)計(jì)學(xué)院

2024年11月29日