A multiscale scheme accurately simulates macroscale shocks in an equation-free framework
John Maclean,
J. E. Bunder,
A. J. Roberts
et al.
Abstract:Scientists and engineers often create accurate, trustworthy, computational simulation schemes-but all too often these are too computationally expensive to execute over the time or spatial domain of interest. The equation-free approach is to marry such trusted simulations to a framework for numerical macroscale reduction-the patch dynamics scheme. This article extends the patch scheme to scenarios in which the trusted simulation resolves abrupt state changes on the microscale that appear as shocks on the macros… Show more
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