Krylov methods for large-scale dynamical systems: Application in fluid dynamics

RAS Frantz, JC Loiseau… - Applied …, 2023 - asmedigitalcollection.asme.org
In fluid dynamics, predicting and characterizing bifurcations, from the onset of unsteadiness
to the transition to turbulence, is of critical importance for both academic and industrial …

Oscillatory instability of a three-dimensional lid-driven flow in a cube

Y Feldman, AY Gelfgat - Physics of fluids, 2010 - pubs.aip.org
A series of time-dependent three-dimensional (3D) computations of a lid-driven flow in a
cube with no-slip boundaries is performed to find the critical Reynolds number …

Transient natural convection flows around a thin fin on the sidewall of a differentially heated cavity

F Xu, JC Patterson, C Lei - Journal of fluid mechanics, 2009 - cambridge.org
Transient natural convection flows around a thin fin on the sidewall of a differentially heated
cavity, which includes a lower intrusion under the fin, a starting plume bypassing the fin and …

Linear instability of the lid-driven flow in a cubic cavity

AY Gelfgat - Theoretical and Computational Fluid Dynamics, 2019 - Springer
Primary instability of the lid-driven flow in a cube is studied by a linear stability approach.
Two cases, in which the lid moves parallel to the cube sidewall or parallel to the diagonal …

Flow of a shear-thinning fluid in a rectangular duct

I Barmak, D Picchi, A Gelfgat, N Brauner - Physical Review Fluids, 2024 - APS
We address the problem of steady laminar flow of a shear-thinning fluid in a rectangular
duct, which is encountered in many systems, particularly in microfluidic and biomedical …

Natural convection in air-filled differentially heated isoflux cavities: Scalings and transition to unsteadiness, a long story made short

P Le Quéré - International Journal of Thermal Sciences, 2022 - Elsevier
We investigate numerically the transition to unsteadiness of natural convection in air filled
differentially heated cavities heated and cooled with uniform flux at their vertical boundaries …

An extension of the immersed boundary method based on the distributed Lagrange multiplier approach

Y Feldman, Y Gulberg - Journal of Computational Physics, 2016 - Elsevier
An extended formulation of the immersed boundary method, which facilitates simulation of
incompressible isothermal and natural convection flows around immersed bodies and which …

On laminar natural convection inside multi-layered spherical shells

Y Gulberg, Y Feldman - International Journal of Heat and Mass Transfer, 2015 - Elsevier
Laminar natural convection flow inside multi-layered spherical shells with internal hot and
external cold boundaries was investigated. Direct numerical simulations (DNS), which were …

Theoretical analysis of three-dimensional bifurcated flow inside a diagonally lid-driven cavity

Y Feldman - Theoretical and Computational Fluid Dynamics, 2015 - Springer
The instability mechanism of fully three-dimensional, highly separated, shear-driven
confined flow inside a diagonally lid-driven cavity was investigated. The analysis was …

Electrocapillary, thermocapillary, and buoyancy convection driven flows in the Melcher-Taylor experimental setup

AY Gelfgat, GM Horstmann - Physical Review Fluids, 2024 - APS
Electrocapillary driven two-phase flows in a confined configuration of a classical experiment
of Melcher and Taylor are studied. The computed streamlines of the flow of the heavier …