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Thursday, March 16 • 4:00pm - 5:30pm
Poster: A Discontinuous Galerkin Method for the Direct Numerical Simulation of Flow on Porous Medium

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Variations of the Navier-Stokes equation are standard models for the description of viscous liquid and gas flow, used in many industrial fields such as automobile, aerospace, and hydrocarbon production industries. An application in the latter is the direct simulation of fluid transport through porous media at the pore scale, more precisely, on spatial domains that resolve the geometry of porous matrices of rocks. This poster presents a discontinuous Galerkin (DG) method for the Navier-Stokes equation with mass balance coupling defined on voxel sets representing the pore space of rock samples at micrometer scale. Numerical validation tests show optimal convergence rates for the DG discretization indicating the correctness of the numerical scheme. The results of permeability upscaling for one-component single-phase flow and real porous media simulations for two-component flow demonstrate the consistency of the velocity field and mass distribution obtained within our framework and exhibit the potential for tackling realistic problems.

avatar for Beatrice Riviere

Beatrice Riviere

Noah Harding Chair and Professor, Rice University

Thursday March 16, 2017 4:00pm - 5:30pm
Exhibit Hall BRC