SFB 1313 Milestone Presentation

The next SFB 1313 public milestone presentation will be held by Samuel Burbulla about "Two-Phase Flow in Dynamically Fracturing Porous Media".

Title: "Two-Phase Flow in Dynamically Fracturing Porous Media"
Advisor: Christian Rohde
Date:  Tuesday, October 22, 2019
Time: 4 pm
Place: Pfaffenwaldring 61, MML, U1.003

Abstract
The mutual interaction between the fluid flow in fractured porous media and propagating, possibly bifurcating fractures is important for the overall systems’ behavior in many natural and technical applications. We consider porous media where dominant fractures are kept in the mathematical model as geometric structures up to the Darcy scale. Those will be understood as sharp interfaces and will be represented by dimension reduced manifolds. Incompressible two-phase flow formulated in the fractional flow formulation will be considered in the bulk as well as in the fracturing domain. We propose a fully conforming Finite-Volume approach where all fractures coincide with volume edges. For the fracture network we rely on a Finite-Volume scheme formulated on manifolds. Appropriate coupling conditions are used to fix numerical fluxes orthogonal to the lower-dimensional fracture network. The fracture propagation is tracked by a moving-mesh concept that keeps all fractures conforming to the mesh and restricts the topological changes to locally marked regions.