Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4967834 | Journal of Computational Physics | 2017 | 31 Pages |
Abstract
Techniques from numerical bifurcation theory are very useful to study transitions between steady fluid flow patterns and the instabilities involved. Here, we provide computational methodology to use parameter continuation in determining probability density functions of systems of stochastic partial differential equations near fixed points, under a small noise approximation. Key innovation is the efficient solution of a generalized Lyapunov equation using an iterative method involving low-rank approximations. We apply and illustrate the capabilities of the method using a problem in physical oceanography, i.e. the occurrence of multiple steady states of the Atlantic Ocean circulation.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
S. Baars, J.P. Viebahn, T.E. Mulder, C. Kuehn, F.W. Wubs, H.A. Dijkstra,