5 research outputs found
A diffuse interface model for quasi-incompressible flows: Sharp interface limits and numerics
In this contribution, we investigate a diffuse interface model for quasi-incompressible flows. We determine corresponding sharp interface limits of two different scalings. The sharp interface limit is deduced by matched asymptotic expansions of the fields in powers of the interface. In particular, we study solutions of the derived system of inner equations and discuss the results within the general setting of jump conditions for sharp interface models. Furthermore, we treat, as a subproblem, the convective Cahn-Hilliard equation numerically by a Local Discontinuous Galerkin scheme
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A diffuse interface model for quasi-incrompressible flows : sharp interface limits and numerics
In this contribution, we investigate a diffuse interface model for quasi–incompressible flows. We determine corresponding sharp interface limits of two different scalings. The sharp interface limit is deduced by matched asymptotic expansions of the fields in powers of the interface. In particular, we study solutions of the derived system of inner equations and discuss the results within the general setting of jump conditions for sharp interface models. Furthermore, we treat, as a subproblem, the convective Cahn–Hilliard equation numerically by a Local Discontinuous Galerkin scheme
Simulation of geophysical problems with DUNE-FEM
In this work we present simulations of different types of geophysical problems using the Dune and Dune-Fem software framework. We consider two-phase flow in porous media, a Stokes-Darcy coupled problem, and atmospheric flow problems. The basis of our schemes is the Discontinuous Galerkin discretizations
A diffuse interface model for quasi–incompressible flows : Sharp interface limits and numerics
In this contribution, we investigate a diffuse interface model for quasi–incompressible
flows. We determine corresponding sharp interface limits of two different scalings. The
sharp interface limit is deduced by matched asymptotic expansions of the fields in powers
of the interface. In particular, we study solutions of the derived system of inner
equations and discuss the results within the general setting of jump conditions for sharp
interface models. Furthermore, we treat, as a subproblem, the convective Cahn–Hilliard
equation numerically by a Local Discontinuous Galerkin scheme