Dresden 2014 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 37: Fluid Dynamics and Turbulence
DY 37.2: Vortrag
Donnerstag, 3. April 2014, 15:15–15:30, ZEU 146
Stokes flow in complex domains — •Andreas Lemmer and Rudolf Hilfer — Institut für Computerphysik, Universität Stuttgart, Allmandring 3, D-70569 Stuttgart
Numerically solving the Stokes equation in complex domains like porous media is computationally difficult because of the large number of unknowns, the complicated domain geometry and the velocity-pressure coupling. We present a domain decomposition method on a uniform, staggered grid which is completely parallelized using only non-blocking communication, therefore achieving high parallel efficiency[1]. This method is used to numerically solve the Stokes equation on a synthetic sample of a laboratory sized Fontainebleau sandstone. The cubic sample with side length 15mm is discretized with resolutions from 117µ m down to 458nm, resulting in sample sizes from 1283 to 327683 grid cells[2]. The flow calculation on the sample with 20483 grid cells and over 5 · 109 unknowns on the bwGrid Cluster, HLRS Stuttgart on 512 processors took 30 hours.
[1] A. Lemmer, R. Hilfer, to be published
[2] R. Hilfer, T. Zauner: High-precision synthetic computed tomography of reconstructed porous media, Phys.Rev.E, 84, 062301 (2011)