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        上海交通大學應文俊教授學術報告通知

        作者:雷銀花 審核人:張保衛 點擊:[]

        題目:A cell-centered finite volume method on locally refined composite Cartesian grids and its application in wetting problems

        時間2020年12月10號上午10:00-12:00

        地點:騰訊會議(ID:897 411 363)

        摘要: In this talk, I will present a cell-centered finite volume method on locally uniformly refined composite Cartesian grids. Unlike similar method on composite Cartesian grids (such as those proposed by McCormick Thomas 1986, Bramble-Ewing-Pasciak-Schatz 1988, Johansen-Colella 1998, Papac-HelgadottirRatsch-Gibou 2013 and Kriva-Handlovicova 2016), the method is derived in a very simple way based on finite Volume conservation of mass and flux. The finite volume stencils on composite grids are compact in both two and three space dimensions. I will also describe an efficient multilevel/multigrid (composite grid) iteration technique for the Poisson equation with the cell-centered finite method as well as its application in a three-dimensional wetting problem for moving contact lines. This is joint work with Xianmin Xu (CAS) and Zhongshu Zhao (SJTU).

        報告人簡介:應文俊, 上海交通大學數學科學學院及自然科學研究院教授。美國杜克大學計算數學博士, 生物醫學工程系博士后,曾任美國密歇根理工大學助理教授。應文俊教授的研究主要包括求解非線性雙曲守恒律方程和奇異擾動反應擴散方程的時間空間自適應網格加密算法,求解剛性系統的大步長穩定時間積分方法,求解橢圓型偏微分方程的邊界積分方法,以及一類基于位勢理論的求解復雜區域上橢圓型,拋物型偏微分方程的笛卡爾直角網格法。研究涉及的領域包括計算空氣動力學,計算生物物理學,計算電生理學和計算流體力學等。應文俊教授目前是雜志Applied Numerical Mathematics的編委。

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