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SCHEDULE: NOV 16-21, 2014
When viewing the Technical Program schedule, on the far righthand side is a column labeled "PLANNER." Use this planner to build your own schedule. Once you select an event and want to add it to your personal schedule, just click on the calendar icon of your choice (outlook calendar, ical calendar or google calendar) and that event will be stored there. As you select events in this manner, you will have your own schedule to guide you through the week.
A Volume Integral Equation Stokes Solver for Problems with Variable Coefficients
SESSION: Heterogeneity and Scaling in Applications
EVENT TYPE: Papers, Best Student Paper Finalists
TIME: 11:30AM - 12:00PM
SESSION CHAIR: Justin Luitjens
AUTHOR(S):Dhairya Malhotra, Amir Gholami, George Biros
ROOM:393-94-95
ABSTRACT:
We present a novel numerical scheme for solving the Stokes equation
with variable coefficients in the unit box. Our scheme is based on a
volume integral equation formulation. We employ a novel adaptive fast
multipole method for volume integrals to obtain a scheme that is
algorithmically optimal. To increase performance, we have integrated
our code with both NVIDIA and Intel accelerators. Overall, our scheme
supports non-uniform discretizations and is spectrally accurate. In
our largest run we solved a problem with 20 billion unknowns, using a
14-order approximation for the velocity, on 2048 nodes of the Stampede
platform at the Texas Advanced Computing Center. We achieved 0.656
PetaFLOPS for the overall code (20% efficiency) and 1 PetaFLOPS for
the fast multipole part (40% efficiency). As an application example, we simulate Stokes flow in a porous medium with highly complex pore structure using a penalty formulation to enforce the no slip condition.
Chair/Author Details:
Justin Luitjens (Chair) - NVIDIA Corporation
Dhairya Malhotra - University of Texas at Austin
Amir Gholami - University of Texas at Austin
George Biros - University of Texas at Austin
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