The University of Arizona: Mathematics Colloquium – Numerical analysis of Cahn-Hilliard Navier-Stokes equations
Modeling multicomponent flows in porous media is important for many applications relevant to energy and environment.
Advances in pore-scale imaging, increasing availability of computational resources, and developments in numerical algorithms have started rendering direct pore-scale numerical simulations of multiphase flow in pore structures feasible. This talk presents recent advances in the numerical solution of phase-field models for systems of two-phase flows. Spatial discretization is based on interior penalty discontinuous Galerkin methods. Time discretization uses either a fully implicit method or a decoupled splitting approach. Both theory and application of the proposed methods to model flows in porous structures are discussed.
- Audience: Adult, STEM Professional
- Genre: Mathematics
- Type: Exhibit/Presentation