Bifurcation analysis of incompressible flow in a driven cavity by the Newton-Picard method

Authors:
G. Tiesinga;F. W. Wubs;A. E. P. Veldman
Affiliations:
Research Institute for Mathematics and Computing Science, University of Groningen, P.O. Box 800, 9700AV Groningen, Netherlands;Research Institute for Mathematics and Computing Science, University of Groningen, P.O. Box 800, 9700AV Groningen, Netherlands;Research Institute for Mathematics and Computing Science, University of Groningen, P.O. Box 800, 9700AV Groningen, Netherlands
Venue:
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Year:
2002

Citing 6
Cited 1

Solving large nonlinear systems of equations by an adaptive condensation process

Numerische Mathematik
Numerical continuation methods: an introduction

Numerical continuation methods: an introduction
Stabilization of unstable procedures: the recursive projection method

SIAM Journal on Numerical Analysis
A direct method for computation of simple bifurcations

Journal of Computational Physics
Matrix computations (3rd ed.)

Matrix computations (3rd ed.)
Matrix Renumbering ILU: An Effective Algebraic Multilevel ILU Preconditioner for Sparse Matrices

SIAM Journal on Matrix Analysis and Applications

A Robust Two-Level Incomplete Factorization for (Navier-)Stokes Saddle Point Matrices

SIAM Journal on Matrix Analysis and Applications

Quantified Score

Hi-index	0.00

Visualization

Abstract

Knowledge of the transition point of steady to periodic flow is becoming increasingly important in the study of laminar-turbulent flow transition or fluid-structure interaction. Such knowledge becomes available through the Newton-Picard method, a method related to the recursive projection method. Here, this method is applied to study the bifurcation behavior of the flow in a driven cavity between Reynolds number 7500 and 10,000. For the time discretization the θ-method is used and for the space discretization a robust finite-volume method. The implicit relations occurring after linearization are solved by the multilevel ILU solver MRILU. The results presented in this paper confirm findings from earlier work with respect to the transition point. They give more detailed information on unstable modes and clarify time series found by others.