Phys. Rev. E 72, 055701(R) (2005) [4 pages]

Maximally fast coarsening algorithms

Abstract

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Mowei Cheng^* and Andrew D. Rutenberg^†
Department of Physics and Atmospheric Science, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5

Received 30 June 2005; published 16 November 2005

We present maximally fast numerical algorithms for conserved coarsening systems that are stable and accurate with a growing natural time step Δt=At_s^2∕3. We compare the scaling structure obtained from our maximally fast conserved systems directly against the standard fixed time-step Euler algorithm, and find that the error scales as √A—so arbitrary accuracy can be achieved. For nonconserved systems, only effectively finite time steps are accessible for similar unconditionally stable algorithms.

URL:

http://link.aps.org/doi/10.1103/PhysRevE.72.055701

DOI:

10.1103/PhysRevE.72.055701

PACS:

05.10.−a, 02.60.Cb, 64.75.+g

^*Present address: Center for Theoretical and Computational Materials Science, National Institute of Standards and Technology, Gaithersburg, Maryland 20899. Electronic address: mowei.cheng@nist.gov

^†URL: http://www.physics.dal.ca/~adr

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Phys. Rev. E 72, 055701(R) (2005) [4 pages]

Maximally fast coarsening algorithms