Numerical Approximation of Multiphase Flows in Porous Media
This talk will review structural properties of the equations used to
model geophysical flows which involve multiple components undergoing phase transitions. Simulations of these problems only model the gross properties of these flows since a precise description of the physical system is neither available nor computationally tractable. In this context mathematics provides an essential foundation to facilitate the
integration of phenomenology and physical intuition to develop robust numerical schemes that inherit essential structural and physical properties of the underlying problem.