Coupling of models for multiphase flow and transport in porous media with multiple scales

Friday, March 15, 2002 - 9:30am - 10:30am
Keller 3-180
Malgorzata Peszynska (The University of Texas at Austin)
In recent years it has been recognized that the simulation of subsurface flow and transport phenomena must be accompanied by simulation of all the coupled processes that influence, or are influenced by, these phenomena at all relevant scales. However, in spite of the emergence of new computational methodologies and of the dramatic increases in computational power, for many reasons it is still difficult or impractical to formulate and/or implement large comprehensive models, especially, if there is need to account for multiple spatial and temporal scales. As an alternative to comprehensive models, one sees the emergence of multiphysics couplings, in which models can be coupled in a loose (staggered-in-time) fashion, or more tightly, where a solution is obtained by iterating between models.

In this talk first we give two distinct examples of couplings: i) of multiphase flow models connected to a reactive transport model, all defined in the same domain, and ii) the couplings of different multiphase models across interface using mortar spaces. These two types are being merged in an on-going research project. Then we focus on case ii) and discuss the related numerical and computational challenges as well as the applications to upscaling. For the latter we outline the mortar upscaling technique in which no effective parameters need be computed. Finally, we present some preliminary work on mortar adaptivity.

This is joint work with Qin Lu, Manish Parashar, Shuyu Sun, Mary F. Wheeler, and Ivan Yotov.