AIMR Math Group Seminar #3

 

Date : June 23rd (Fri.) 10:00-11:00
Place:3C, AIMR Main Bldg., Katahira campus, Tohoku University


SpeakerDr. Huynh Quang Huy Viet

Title: Multi-GPU Parallel Solver for Incompressible Navier-Stokes

 

Abstract

In solving the Navier–Stokes equations (NSE) by using finite
element methods for simulation of fluid flows, some instabilities arise
from the presence of advection terms or the high Reynolds number.
Solutions to this problem have been proposed by Hughes, and Tezduyar etal. The stabilizations are achieved by way of adding two stabilization
terms to the Galerkin formulations of the Navier–Stokes equations. The
first term is the Streamline Upwind/Petrov-Galerkin (SUPG) term; the
second term is the pressure stabilizing/Petrov-Galerkin (PSPG) term.
This stabilized finite element method has been shown to be extremely
effective for the simulation of incompressible flows.

In practical applications, the solvers of Navier–Stokes equations might
not converge to solutions within an allowed time limitation. It is
necessary to develop fast NSE solvers using parallel processing
techniques. Traditionally, parallel NSE solvers are developed using
supercomputers or PC clusters with parallel programming platforms such
as OpenMP and MPI. Recently, because modern GPUs (graphics processingunits) have many processors or cores, GPU computing has been recognized as a powerful platform to achieve high performance in the simulation of fluid flows.
In this presentation, we present our method of implementation of a
GPU-based parallel solver of Navier–Stokes equations discretized by
stabilized finite element formulations for simulation of incompressible
flows.

 

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