Patch dynamics: macroscopic simulation of multiscale systems | Zendy

Samaey Giovanni | Zendy; Kevrekidis Ioannis G. | Zendy; Roose Dirk | Zendy

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Patch dynamics: macroscopic simulation of multiscale systems

Author(s) -

Samaey Giovanni,

Kevrekidis Ioannis G.,

Roose Dirk

Publication year - 2007

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200700767

Subject(s) - partial differential equation , finite volume method , mathematics , scheme (mathematics) , finite difference , derivative (finance) , partial derivative , statistical physics , computer science , physics , mathematical analysis , mechanics , financial economics , economics

We describe a numerical algorithm to perform time integration of a partial differential equation (PDE) which is not available in closed from; instead we are given a more microscopic description of the system behaviour. The proposed methods mimic a macroscopic finite difference (FD) or finite volume (FV) scheme for the unavailable PDE; they extract a macroscopic time derivative (for FD schemes) or flux (for FV schemes) from appropriately initialized, but otherwise unconstrained simulations with the given microscopic model. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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