ncku-talk2013-03-28

NCTS(South)/ NCKU Math Colloquium

DATE 2013-03-28　16:00-17:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER 朱家杰教授（清華大學數學系）

TITLE Multiscale Method Coupling Network and Continuum Models in Porous Media

ABSTRACT 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 developed single-phase flow algorithm and extended it to two-phase flow, for the situations in which the saturation profile go through a sharp transition from fully saturated to almost unsaturated states.
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. We present numerical results for single-phase flows with nonlinear flux-pressure dependence, as well as two-phase flow.

NCTS(South)/ NCKU Math Colloquium

DATE	2013-03-28　16:00-17:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	朱家杰教授（清華大學數學系）

TITLE	Multiscale Method Coupling Network and Continuum Models in Porous Media

ABSTRACT	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 developed single-phase flow algorithm and extended it to two-phase flow, for the situations in which the saturation profile go through a sharp transition from fully saturated to almost unsaturated states. 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. We present numerical results for single-phase flows with nonlinear flux-pressure dependence, as well as two-phase flow.