sponsored byIEEEACMThe International Conference for High Performance 
Computing, Networking, Storage and Analysis
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SCHEDULE: NOV 16-21, 2014

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Parallel High-Order Geometric Multigrid Methods on Adaptive Meshes for Highly Heterogeneous Nonlinear Stokes Flow Simulations of Earth's Mantle

SESSION: Poster Reception

EVENT TYPE: Posters, Best Poster Finalist

TIME: 5:15PM - 7:00PM

AUTHOR(S):Johann Rudi, Hari Sundar, Tobin Isaac, Georg Stadler, Michael Gurnis, Omar Ghattas

ROOM:New Orleans Theater Lobby

ABSTRACT:

The simulation of Earth's mantle flow with associated plate motion at global
scale is challenging due to (1) the severe nonlinear rheology, (2) the
viscosity variations, and (3) the widely-varying spatial scales inherent in the
problem. We discretize the governing nonlinear incompressible Stokes equations
using high-order finite elements on highly adapted meshes, which allow us to
resolve plate boundaries down to a few hundred meters. Crucial components in
our scalable solver are an efficient, collective communication-free, parallel
implementation of geometric multigrid for high-order elements, the use of a
Schur complement preconditioner that is robust with respect to extreme
viscosity variations, and the use of an inexact Newton solver combined with
grid-continuation methods. We present results based on real Earth data that
are likely the most realistic global scale mantle flow simulations conducted to
date.

Chair/Author Details:

Johann Rudi - University of Texas at Austin

Hari Sundar - University of Utah

Tobin Isaac - University of Texas at Austin

Georg Stadler - University of Texas at Austin

Michael Gurnis - California Institute of Technology

Omar Ghattas - University of Texas at Austin

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