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High Performance Programming for Soft Computing
book

High Performance Programming for Soft Computing

by Oscar Montiel Ross, Roberto Sepulveda
February 2014
Intermediate to advanced content levelIntermediate to advanced
376 pages
11h 49m
English
CRC Press
Content preview from High Performance Programming for Soft Computing
GPU-based Conjugated Gradient Solution for Phase Field ModelsGPU-based Conjugated Gradient Solution for Phase Field Models 125
The Allen-Cahn Eq. (5.3.4) is used to model the separation process of a
binary fl uid, in which the fl uid is decomposed into a fi ne-grained mixture
of particles. This process is known as spinodal decomposition (Badalassi
2003).
5.3.1 Discretization of the allen-cahn equation
In order to discretize Eq. (5.3.4), the fi nite difference method is used. The
discretization is done through the Crank-Nicholson scheme to obtain a
second-order accuracy in time. The fi nite difference method replaces the
derivatives in the partial ...
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Publisher Resources

ISBN: 9781466586017