Coarse Bifurcation Studies of Bubble Flow Microscopic Simulations
Pattern Formation and Solitons
2007-05-23 v1
Abstract
The parametric behavior of regular periodic arrays of rising bubbles is investigated with the aid of 2-dimensional BGK Lattice-Boltzmann (LB) simulators. The Recursive Projection Method is implemented and coupled to the LB simulators, accelerating their convergence towards what we term coarse steady states. Efficient stability/bifurcation analysis is performed by computing the leading eigenvalues/eigenvectors of the coarse time stepper. Our approach constitutes the basis for system-level analysis of processes modeled through microscopic simulations.
Cite
@article{arxiv.nlin/0111040,
title = {Coarse Bifurcation Studies of Bubble Flow Microscopic Simulations},
author = {C. Theodoropoulos and K. Sankaranarayanan and S. Sundaresan and I. G. Kevrekidis},
journal= {arXiv preprint arXiv:nlin/0111040},
year = {2007}
}
Comments
4 pages, 3 figures