Using GPGPU to Enhance Simulation of the Functionalized Cahn-Hilliard Equation

Author

Jones, Jaylan ; Xu, Zhengfu ; Christlieb, Andrew ; Promislow, Keith

Author_Institution

Dept. of Math., Michigan State Univ., East Lansing, MI, USA

fYear

2012

fDate

10-11 July 2012

Firstpage

153

Lastpage

156

Abstract

The Functionalized Cahn-Hilliard (FCH) Equation describes the dynamics of pore network formation in a functionalized polymer/solvent membrane. During the casting of such membranes, processes occur on very diverse timescales requiring long computationally intensive simulations. Our scheme is designed to be unconditionally gradient stable allowing for adaptivity in time stepping while preserving the discrete energy law. We present a novel iteration for solving the nonlinear equation with a Fourier spectral method, and numerical results are shown with a 100x speedup using a Graphics Processing Unit (GPU).

Keywords

Fourier transforms; functional equations; graphics processing units; nonlinear equations; FCH equation; Fourier spectral method; GPGPU; discrete energy law; functionalized Cahn-Hilliard equation; functionalized polymer-solvent membrane; graphics processing unit; nonlinear equation; pore network formation; simulation enhancement; time stepping; Computational modeling; Data models; Equations; Graphics processing unit; Mathematical model; Numerical models; Polymers; Functionalized Cahn-Hilliard; GPU; phase field model;

fLanguage

English

Publisher

ieee

Conference_Titel

Application Accelerators in High Performance Computing (SAAHPC), 2012 Symposium on

Conference_Location

Chicago IL

ISSN

2166-5133

Print_ISBN

978-1-4673-2882-1

Type

conf

DOI

10.1109/SAAHPC.2012.22

Filename

6319206