Steady solutions of the Navier-Stokes equations by selective frequency damping
Top Cited Papers
- 1 June 2006
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 18 (6)
- https://doi.org/10.1063/1.2211705
Abstract
A new method, enabling the computation of steady solutions of the Navier-Stokes equations in globally unstable configurations, is presented. We show that it is possible to reach a steady state by damping the unstable (temporal) frequencies. This is achieved by adding a dissipative relaxation term proportional to the high-frequency content of the velocity fluctuations. Results are presented for cavity-driven boundary-layer separation and a separation bubble induced by an external pressure gradient. © 2006 American Institute of PhysicsKeywords
This publication has 9 references indexed in Scilit:
- GLOBAL INSTABILITIES IN SPATIALLY DEVELOPING FLOWS: Non-Normality and NonlinearityAnnual Review of Fluid Mechanics, 2005
- LES of transitional flows using the approximate deconvolution modelInternational Journal of Heat and Fluid Flow, 2004
- On the onset of nonlinear oscillations in a separating boundary-layer flowJournal of Fluid Mechanics, 2003
- The temporally filtered Navier–Stokes equations: Properties of the residual stressPhysics of Fluids, 2003
- Advances in global linear instability analysis of nonparallel and three-dimensional flowsProgress in Aerospace Sciences, 2003
- An approximate deconvolution model for large-eddy simulation with application to incompressible wall-bounded flowsPhysics of Fluids, 2001
- A Robust High-Resolution Split-Type Compact FD Scheme for Spatial Direct Numerical Simulation of Boundary-Layer TransitionFlow, Turbulence and Combustion, 1997
- Convergence of Spectral Methods for Nonlinear Conservation LawsSIAM Journal on Numerical Analysis, 1989
- Laminar flow behavior under slip−boundary conditionsPhysics of Fluids, 1975