Equation-free implementation of statistical moment closures

Details Equation-free implementation of statistical moment closures Equation-free implementation of statistical moment closures

2007-04-05

arxiv.org/abs/0704.0804v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 2 figures

Scientific paper

10.1103/PhysRevE.77.026701

We present a general numerical scheme for the practical implementation of statistical moment closures suitable for modeling complex, large-scale, nonlinear systems. Building on recently developed equation-free methods, this approach numerically integrates the closure dynamics, the equations of which may not even be available in closed form. Although closure dynamics introduce statistical assumptions of unknown validity, they can have significant computational advantages as they typically have fewer degrees of freedom and may be much less stiff than the original detailed model. The closure method can in principle be applied to a wide class of nonlinear problems, including strongly-coupled systems (either deterministic or stochastic) for which there may be no scale separation. We demonstrate the equation-free approach for implementing entropy-based Eyink-Levermore closures on a nonlinear stochastic partial differential equation.

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