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TW 501
Christophe Vandekerckhove, Pieter Van Leemput and Dirk Roose
Accuracy and stability of the coarse time-stepper for a lattice Boltzmann model
Abstract
The equation-free framework for multiscale computing is built around the central idea of a coarse time-stepper, which approximates a time integrator for an unavailable macroscopic model using only a microscopic simulator. In this paper, we study the numerical properties of the coarse time-stepper when a lattice Boltzmann model for one-dimensional diffusion is used as the microscopic simulator. We derive analytical expressions for the accuracy and stability of the coarse time-stepper, which allow us to study the influence of the various aspects involved its construction.
report.pdf (325K) / mailto: Christophe Vandekerckhove