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Maximally-fast coarsening algorithms

Mowei Cheng·Andrew Rutenberg
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Abstract

We present maximally-fast numerical algorithms for conserved coarsening systems that are stable and accurate with a growing natural time-step $Δt=A t_s^{2/3}$. For non-conserved systems, only effectively finite timesteps are accessible for similar unconditionally stable algorithms. We compare the scaling structure obtained from our maximally-fast conserved systems directly against the standard fixed-timestep Euler algorithm, and find that the error scales as $\sqrt{A}$ -- so arbitrary accuracy can be achieved.

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BibTeXRIS

Mowei Cheng, Andrew Rutenberg. 2005-07-01. Maximally-fast coarsening algorithms. https://doi.org/10.1103/physreve.72.055701

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