演講公告
新聞標題: ( 2010-12-22 )
演講主題:Coupling network models with porous media equations
主講人:朱家杰 博士(德州大學奧斯丁分校)
演講日期:2010年12月28日(星期二)<br> 下午2:00 –3:00
演講地點:(光復校區)科學一館223室
茶會時間:當天下午1:30
摘要內容:
We propose a numerical multiscale method for coupling a conservation law for mass at the continuum with a discrete network model. We aim at the potential application of porous media flow; in this work, we focus on coupling the pressure equations. Our assumption is that the network model provides a good model for multiphase flow in porous media, but is too large to solve. On the other hand, we assume that over the same physical domain there is an equivalent mass conservation equation at continuum which can be solved much more efficiently if the equation is explicitly given. Our coupling method uses simulations on the sub-network to evaluation the continuum equation and thus solve for the pressure in the domain. We allow nonlinearity in the network model as well as the mass conservation equation. Convergence of the coupling method is analyzed. In the case for which classical homogenization applies, we show convergence of our multiscale solutions to the homogenized equations.相關檔案:演講991228.doc