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104/12/08 14:00 清華大學數學系朱家杰助理教授 演講
演講公告
張貼人：網站管理員 ╱ 公告日期：2015-12-01演 講 公 告
主講人：朱家杰 助理教授
地點：中央大學科學一館S-325教室
摘要：
講題：A multiscale method to couple network models and continuous equations for two-phase flow in porous media
主講人：朱家杰 助理教授
清華大學數學系
時間：12月08日（星期二）下午2點
地點：中央大學科學一館S-325教室
摘要：
In this talk, we present a numerical multiscale method for coupling a conservation law for mass at the continuum scale with a discrete network model that describes the pore scale flow in a porous medium. We introduce the dynamical network model that describes two-phase flows in pore scale. We developed single-phase flow algorithms and extended the methods to two-phase flow. Our coupling method for the pressure equation uses local simulations on small sampled network domains at the pore scale to evaluate the continuum equation and thus solve for the pressure in the domain. For local simulation, it often requires a suitable initialization. We introduce a choice of initialization from a optimization problem, which is often used in image processing. We present numerical results for single-phase flows with nonlinear flux- pressure dependence, as well as two-phase flow.
最後修改時間：2015-12-04 PM 3:25
