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SCHEDULE: NOV 15-20, 2015
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An Extreme-Scale Implicit Solver for Complex PDEs: Highly Heterogeneous Flow in Earth’s Mantle
SESSION: ACM Gordon Bell Finalist II
EVENT TYPE: Awards Presentations, ACM Gordon Bell Finalists
EVENT TAG(S): Performance, HPC Beginner Friendly, Applications
TIME: 11:00AM - 11:30AM
SESSION CHAIR(S): Subhash Saini
AUTHOR(S):Johann Rudi, A. Cristiano I. Malossi, Tobin Isaac, Georg Stadler, Michael Gurnis, Peter W. J. Staar, Yves Ineichen, Costas Bekas, Alessandro Curioni, Omar Ghattas
ROOM:17AB
ABSTRACT:
Mantle convection is the fundamental physical process within Earth’s interior responsible for the thermal and geological evolution of the planet, including plate tectonics. The mantle is modeled as a viscous, incompressible, non-Newtonian fluid. The wide range of spatial scales, extreme variability and anisotropy in material properties, and severely nonlinear rheology have made global mantle convection modeling with realistic parameters prohibitive. Here we present a new implicit solver that exhibits optimal algorithmic performance and is capable of extreme scaling for hard PDE problems, such as mantle convection. To maximize accuracy and minimize runtime, the solver incorporates a number of advances, including aggressive multi-octree adaptivity, mixed continuous-discontinuous discretization, arbitrarily-high-order accuracy, hybrid spectral/geometric/algebraic multigrid, and novel Schur-complement preconditioning. These features present enormous challenges for extreme scalability. We demonstrate that—contrary to conventional wisdom—algorithmically optimal implicit solvers can be designed that scale out to 0.5 million cores for severely nonlinear, ill-conditioned, heterogeneous and localized PDEs.
Chair/Author Details:
Subhash Saini (Chair) - NASA Ames Research Center|
Johann Rudi - The University of Texas at Austin
A. Cristiano I. Malossi - IBM Corporation
Tobin Isaac - The University of Texas at Austin
Georg Stadler - Courant Institute of Mathematical Sciences
Michael Gurnis - California Institute of Technology
Peter W. J. Staar - IBM Corporation
Yves Ineichen - IBM Corporation
Costas Bekas - IBM Corporation
Alessandro Curioni - IBM Corporation
Omar Ghattas - The University of Texas at Austin
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