Berlin 2012 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 29: Posters II
DY 29.41: Poster
Thursday, March 29, 2012, 17:00–19:00, Poster A
Travelling wave solutions for multiphase flow in porous media — •Oliver Hönig1 and Rudolf Hilfer1,2 — 1Institut für Computerphysik, Universität Stuttgart, 70569 Stuttgart, Deutschland — 2Institut für Physik, Universität Mainz, 55099 Mainz,Deutschland
We study travelling wave solutions of multiphase flow in one-dimensional porous media on a macroscopic scale. A dimensionless system of two fractional flow equations with coupled flow functions and simplified capillarity is employed to formulate a dynamical system. This system is discussed in detail with analytical and numerical methods. It leads to a more complex behaviour than the case of a single fractional flow equation.