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A methodology is presented for bounding all higher moments of the local hydrostatic stress field inside random two phase linear thermoelastic media undergoing macroscopic thermomechanical loading. The method also provides a lower bound on…

Analysis of PDEs · Mathematics 2009-10-20 Yue Chen , Robert Lipton

Buoyancy effects in unstably stratified mixing layers express themselves through gravity currents of heavy fluid which propagate in an ambient lighter fluid. These currents are encountered in numerous geophysical flows, industrial safety…

Chaotic Dynamics · Physics 2007-05-23 Bernard J. Geurts

Linear optimal gains are computed for the subcritical two-dimensional separated boundary-layer flow past a bump. Very large optimal gain values are found, making it possible for small-amplitude noise to be strongly amplified and to…

Fluid Dynamics · Physics 2014-11-11 Edouard Boujo , Uwe Ehrenstein , François Gallaire

Direct numerical simulations of a low-pressure turbine with roughness elements distributed over the blade surface have been performed. A series of fifteen cases with varying roughness heights and streamwise wavenumbers are introduced to…

Fluid Dynamics · Physics 2026-01-23 Xianwen Zhu , Yuchen Ge , Yaomin Zhao , Zuoli Xiao , Richard D. Sandberg

A newly developed sensitivity-driven approach is employed to study the role of energetic particles in suppressing turbulence-inducing micro-instabilities for a set of realistic JET-like cases with NBI deuterium and ICRH $^3$He fast ions.…

Plasma Physics · Physics 2021-05-26 Ionut-Gabriel Farcas , Alessandro Di Siena , Frank Jenko

We perform direct numerical simulations of shock-wave/boundary-layer interactions (SBLI) at Mach number M = 1.7 to investigate the influence of the state of the incoming boundary layer on the interaction properties. We reproduce and extend…

Fluid Dynamics · Physics 2017-09-18 Russell Quadros , Matteo Bernardini

Turbulent boundary layers under adverse pressure gradients are studied using well-resolved large-eddy simulations (LES) with the goal of assessing the influence of the streamwise pressure development. Near-equilibrium boundary layers were…

Fluid Dynamics · Physics 2018-12-11 P. Schlatter , R. Vinuesa , A. Bobke , R. Örlü

The dynamics of perturbations to large-amplitude Internal Solitary Waves (ISW) in two-layered flows with thin interfaces is analyzed by means of linear optimal transient growth methods. Optimal perturbations are computed through…

Fluid Dynamics · Physics 2018-03-14 Pierre-Yves Passaggia , Karl R. Helfrich , Brian L. White

Non-normal transient growth of disturbances is considered as an essential prerequisite for subcritical transition in shear flows, i.e. transition to turbulence despite linear stability of the laminar flow. In this work we present numerical…

Fluid Dynamics · Physics 2014-03-06 Simon Maretzke , Björn Hof , Marc Avila

The dynamics of small global perturbations in the form of linear combination of a finite number of non-axisymmetric eigenmodes is studied in two-dimensional approximation. The background flow is assumed to be an axisymmetric perfect fluid…

Astrophysics · Physics 2008-10-15 V. V. Zhuravlev , N. I. Shakura

Different transition to turbulence routes for the flow around blunt bodies are possible. Non-modal amplification of perturbations via the lift-up effect has recently been explored to explain transition near the stagnation point in…

Fluid Dynamics · Physics 2023-11-07 Eduardo Martini , Clement Caillaud , Guillaume Lehnasch , Peter Jordan , Oliver Schmidt

Based on the energy gradient method, criteria for turbulent transition are proposed for pressure driven flow and shear driven flow, respectively. For pressure driven flow, the necessary and sufficient condition for turbulent transition is…

Fluid Dynamics · Physics 2015-05-13 Hua-Shu Dou , Boo Cheong Khoo

We discuss how searching for finite amplitude disturbances of a given energy which maximise their subsequent energy growth after a certain later time $T$ can be used to probe phase space around a reference state and ultimately to find other…

Fluid Dynamics · Physics 2017-08-23 Daniel Olvera , Rich R. Kerswell

The boundary layer structure of the velocity and temperature fields in turbulent Rayleigh-Benard flows in closed cylindrical cells of unit aspect ratio is revisited from a transitional and turbulent viscous boundary layer perspective. When…

Fluid Dynamics · Physics 2016-12-30 Jörg Schumacher , Vinodh Bandaru , Ambrish Pandey , Janet D. Scheel

This work develops scientific computing techniques to further the exploration of using boundary control alone to optimize mixing in Stokes flows. The theoretical foundation including mathematical model and the optimality conditions for…

Optimization and Control · Mathematics 2024-02-22 Weiwei Hu , Xiaoming Zheng

Two sets of measurements utilizing hot-wire anemometry and oil film interferometry for flat-plate turbulent boundary layers, exposed to various controlled adverse and favorable pressure gradients, are used to evaluate history effects of the…

Fluid Dynamics · Physics 2024-05-22 Victor Baxerres , Ricardo Vinuesa , Hassan Nagib

We study gravitationally unstable, transient, diffusive boundary layers in porous media using modal and nonmodal stability methods. Using nonmodal stability theory, we demonstrate that both the onset of linear instabilities and the shape of…

Fluid Dynamics · Physics 2019-03-05 Don Daniel , Nils Tilton , Amir Riaz

In shear flows like pipe flow and plane Couette flow there is an extended range of parameters where linearly stable laminar flow coexists with a transient turbulent dynamics. When increasing the amplitude of a perturbation on top of the…

Chaotic Dynamics · Physics 2012-05-31 J. Vollmer , T. M. Schneider , B. Eckhardt

This work investigates efficient routes to turbulence in quasi-two-dimensional shear flows. Two-dimensional disturbances require high Reynolds numbers to incite transition from a steady base flow, as transient growth is modest. With the…

Fluid Dynamics · Physics 2025-02-04 Christopher J. Camobreco , Alban Pothérat , Gregory J. Sheard

This study presents an automatic differentiation (AD)-based optimization framework for flow control in compressible turbulent channel flows. We developed a fully differentiable boundary condition framework that allows for the precise…

Fluid Dynamics · Physics 2025-07-01 Wenkang Wang , Xu Chu