Patch dynamics: macroscopic simulation of multiscale systems
Giovanni Samaey, Ioannis G. Kevrekidis, Dirk Roose · PAMM · 2007
Abstract 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)