IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Design and Implementation of Compact Exponential Time Differencing Method for Phase Field Simulations

  • Oct. 30, 2015
  • 1:15 p.m.
  • LeConte 312

Abstract

In this talk, we present the compact exponential time differencing (cETD) method and its parallel implementation for phase field simulations. The cETD method combines efficient decomposition of compact spatial difference operators with stable and accurate exponential time integrators, and can effectively deal with stiff nonlinearities in the phase field equations by use of multistep or Rounge-Kutta approximations and analytic evaluations of time integrals. In addition, some linear splitting schemes are also adopted in the cETD method to further improving its numerical stability. The parallel cETD method has been implemented on a heterogeneous computing node consists of two CPUs and two MICs. We are able to achieve over 1,300 Gflops in performance(double precision, 52% peak) in the phase separation simulation.

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