Publications related to Homoclinic snaking in plane Couette flow: bending, skewing and finite-size effects

Manning's Formula and the Strickler Scaling Derived from a Co-spectral Budget Model

Gabriele Manoli, Sara Bonetti, Gabriel George Katul

Manning's empirical formula in conjunction with Strickler's scaling is widely used to predict the bulk velocity (V) from the hydraulic radius (Rh), the roughness size (r), and the slope of the energy grade line (S) in uniform channel flows at high bulk Rey ...

2023

Effects of velocity-dependent apparent toughness on the pre- and post-shut-in growth of a hydraulic fracture

Dong Liu, Guanyi Lu

We investigate the growth of a plane-strain/radial hydraulic fracture in an infinite impermeable medium driven by a constant injection rate assuming that the apparent toughness scales with the decreasing fracture growth rate in a power-law relation. The vi ...

ELSEVIER SCI LTD2022

Weak nonlinearity for strong non-normality

François Gallaire, Edouard Boujo, Yves-Marie François Ducimetière

We propose a theoretical approach to derive amplitude equations governing the weakly nonlinear evolution of non-normal dynamical systems, when they experience transient growth or respond to harmonic forcing. This approach reconciles the non-modal nature of ...

2022

Mixing and diffusion for rough shear flows

Maria Colombo, Klaus Martin Widmayer

This article addresses mixing and diffusion properties of passive scalars advected by rough (

C^\alpha

) shear flows. We show that in general, one cannot expect a rough shear flow to increase the rate of inviscid mixing to more than that of a smooth shear ...

2021

Comparison of Reduced-Basis techniques for the model order reduction of parametric incompressible fluid flows

Carlo Fiorina

The applicability of two Reduced-Basis techniques to parametric laminar and turbulent incompressible fluid flow problems in nuclear engineering is studied in this work. The Reduced-Basis methods are used to generate Reduced-Order Models (ROMs) that can acc ...

PERGAMON-ELSEVIER SCIENCE LTD2020

Turbulent Flows over Rough Permeable Beds in Mountain Rivers: Experimental Insights and Modeling

Gauthier Paul Daniel Marie Rousseau

Steep mountain streams exhibit shallow waters with roughness elements such as stones and pebbles that are comparable in size to flow depth. Owing to the difficulty in measuring fluid velocities at the interface, i.e., from the rough permeable bed to the fr ...

EPFL2019

Self-consistent triple decomposition of the turbulent flow over a backward-facing step under finite amplitude harmonic forcing

François Gallaire, Eunok Yim, Philippe Meliga

We investigate the saturation of harmonically forced disturbances in the turbulent flow over a backward-facing step subjected to a finite amplitude forcing. The analysis relies on a triple decomposition of the unsteady flow into mean, coherent and incohere ...

ROYAL SOC2019

Turbulent patterns in wall-bounded shear flows: invariant solutions and their bifurcations

Florian Reetz

When laminar shear flows in large wall-bounded domains transition to turbulence, the flow exhibits spatio-temporally chaotic dynamics. Despite its chaotic dynamics, the flow may self-organize into characteristic spatially periodic patterns of unknown origi ...

EPFL2019

On Von Karman Modeling For Turbulent Flow Near A Wall

Jacques Rappaz, Jonathan Rochat

Mixing-length models are often used by engineers in order to take into account turbulence phenomena in a flow. This kind of model is obtained by adding a turbulent viscosity to the laminar one in Navier-Stokes equations. When the flow is confined between t ...

2019

Computing heteroclinic orbits using adjoint-based methods

Tobias Schneider, Mirko Farano

Transitional turbulence in shear flows is supported by a network of unstable exact invariant solutions of the Navier-Stokes equations. The network is interconnected by heteroclinic connections along which the turbulent trajectories evolve between invariant ...

CAMBRIDGE UNIV PRESS2018

Homoclinic snaking in plane Couette flow: bending, skewing and finite-size effects

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Manning's Formula and the Strickler Scaling Derived from a Co-spectral Budget Model

Effects of velocity-dependent apparent toughness on the pre- and post-shut-in growth of a hydraulic fracture

Weak nonlinearity for strong non-normality

Mixing and diffusion for rough shear flows

Comparison of Reduced-Basis techniques for the model order reduction of parametric incompressible fluid flows

Turbulent Flows over Rough Permeable Beds in Mountain Rivers: Experimental Insights and Modeling

Self-consistent triple decomposition of the turbulent flow over a backward-facing step under finite amplitude harmonic forcing

Turbulent patterns in wall-bounded shear flows: invariant solutions and their bifurcations

On Von Karman Modeling For Turbulent Flow Near A Wall

Computing heteroclinic orbits using adjoint-based methods

Comparison of Reduced-Basis techniques for the model order reduction of parametric incompressible fluid flows

Turbulent Flows over Rough Permeable Beds in Mountain Rivers: Experimental Insights and Modeling

Manning's Formula and the Strickler Scaling Derived from a Co-spectral Budget Model

Effects of velocity-dependent apparent toughness on the pre- and post-shut-in growth of a hydraulic fracture

Weak nonlinearity for strong non-normality

Mixing and diffusion for rough shear flows

Turbulent patterns in wall-bounded shear flows: invariant solutions and their bifurcations

Computing heteroclinic orbits using adjoint-based methods

Self-consistent triple decomposition of the turbulent flow over a backward-facing step under finite amplitude harmonic forcing

On Von Karman Modeling For Turbulent Flow Near A Wall