Stochastic modeling of non-equilibrium multi-phase flow to link pore scale dynamics with Darcy scale behavior

November 25, 2008

Time: November 25, 2008
Lecturer: Prof. Dr. Patrick Jenny
Institut für Fluidmechanik, ETH Zürich
Venue: Pfaffenwaldring 61, Raum U1.003 (MML), Universität Stuttgart
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The prime objective of the proposed PDF modeling framework is to improve our understanding of how the physics and dynamics at the pore scales is linked to the macroscopic equations, which deal with average values. A stochastic particle method (SPM), in which individual (infinitesimal) fluid volumes are modeled, is employed to solve the PDF transport equation. These fluid volumes are represented by computational particles, whose evolution depends on their phase, composition and other properties including memory. Such a Lagrangian approach offers an alternative viewpoint and allows to describe various complex non-equilibrium processes in a more general and natural way than in a classical Eulerian framework. During the presentation we will derive the mathematical framework and illustrate its potential with some simple test cases. Moreover, it will be shown how transport equations of joint statistical moments can be derived.
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