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Direct numerical simulation (DNS) of a turbulent boundary layer over the Gaussian (Boeing) bump is performed. This boundary layer exhibits a series of adverse and favorable pressure gradients and convex and concave curvature effects before…

Fluid Dynamics · Physics 2023-06-12 Aviral Prakash , Riccardo Balin , John A. Evans , Kenneth E. Jansen

We study numerically transitional coherent structures in a boundary-layer flow with homogeneous suction at the wall (the so-called asymptotic suction boundary layer ASBL). The dynamics restricted to the laminar-turbulent separatrix is…

Time-dependent visualisations of large-scale direct and large-eddy simulations (DNS and LES) of a turbulent boundary layer reaching up to $Re_\theta=4300$ are presented. The focus of the present fluid dynamics video is on analysing the…

Fluid Dynamics · Physics 2010-10-20 Philipp Schlatter , Mattias Chevalier , Miloš Ilak , Dan S. Henningson

In this paper we revisit the derivations of model equations describing long nonlinear longitudinal bulk strain waves in elastic rods within the scope of the Murnaghan model in order to derive a Boussinesq-type model, and extend these…

Pattern Formation and Solitons · Physics 2020-03-17 F. E. Garbuzov , K. R. Khusnutdinova , I. V. Semenova

A simple model wavefunction, consisting of a linear combination of two free-particle Gaussians, describes many of the observed features seen in the interactions of two isolated Bose-Einstein condensates as they expand, overlap, and…

Quantum Physics · Physics 2015-06-26 R. W. Robinett

The aim of this work is to make a further step towards the understanding of the near-critical reflection of internal gravity waves from a slope in the more general and realistic context where the size of viscosity $\nu$ and the size of…

Analysis of PDEs · Mathematics 2022-02-23 Roberta Bianchini , Gianluca Orrù

This is a study of the Euler equations for free surface water waves in the case of varying bathymetry, considering the problem in the shallow water scaling regime. In the case of rapidly varying periodic bottom boundaries this is a problem…

Analysis of PDEs · Mathematics 2016-01-20 Walter Craig , David Lannes , Catherine Sulem

We develop numerical multiscale methods for viscous boundary layer flow. The goal is to derive effective boundary conditions, or wall laws, through high resolution simulations localized to the boundary coupled to a coarser simulation in the…

Numerical Analysis · Mathematics 2021-10-14 Sean Carney , Björn Engquist

Weakly nonlinear internal wave-wave interaction is a key mechanism that cascades energy from large to small scales, leading to ocean turbulence and mixing. Oceans typically have a non-uniform density stratification profile; moreover,…

Fluid Dynamics · Physics 2022-07-13 Saranraj Gururaj , Anirban Guha

A scaling relation for the high frequency regime of streamwise energy spectra (in frequency domain) in the near-wall region is proposed. This is based on the dimensional analysis approach of \cite{perry1977} and \cite{Zamalloa2014} together…

Fluid Dynamics · Physics 2018-11-07 B. Ganapathisubramani

In 1D evolution models of gas giant planets, an outer convection zone advances into the interior as the surface cools, and multiple convective layers form beneath that convective front. To study layer formation below an outer convection…

Earth and Planetary Astrophysics · Physics 2023-11-08 J. R. Fuentes , A. Cumming , E. H. Anders

A stationary wave pattern occurring in a flow of a two-component Bose-Einstein condensate past an obstacle is studied. We consider the general case of unequal velocities of two superfluid components. The Landau criterium applied to the…

Other Condensed Matter · Physics 2009-05-19 L. Yu. Kravchenko , D. V. Fil

In this report, Mathematical model for generalized nonlinear three dimensional wave breaking equations was de- veloped analytically using fully nonlinear extended Boussinesq equations to encompass rotational dynamics in wave breaking zone.…

Fluid Dynamics · Physics 2015-02-10 R Dutta

The present numerical investigation uses well-resolved large-eddy simulations to study the low-frequency unsteady motions observed in shock-wave/turbulent-boundary-layer interactions. Details about the numerical aspects of the simulations…

Fluid Dynamics · Physics 2010-10-12 Emile Touber , Neil D. Sandham

We present two spanwise-localized travelling wave solutions in the asymptotic suction boundary layer, obtained by continuation of solutions of plane Couette flow. One of the solutions has the vortical structures located close to the wall,…

Fluid Dynamics · Physics 2016-05-03 Tobias Kreilos , John F. Gibson , Tobias M. Schneider

We consider a density-stratified fluid composed of two immiscible layers separated by a sharp interface. We study the regime of long internal waves interacting with modulated surface wave packets and describe their resonant interaction by a…

Analysis of PDEs · Mathematics 2024-08-22 Adilbek Kairzhan , Christopher Kennedy , Catherine Sulem

This paper investigates the generation of free-surface waves in a liquid layer driven by linear instabilities in Couette-Poiseuille (quadratic) shear flows. The base velocity profiles are characterized by a curvature parameter, and…

Fluid Dynamics · Physics 2025-08-29 Harishankar Muppirala , Ramana Patibandla , Anubhab Roy

This article explores the stability of stratified Couette flow in the viscous $3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal…

Analysis of PDEs · Mathematics 2024-02-26 Michele Coti Zelati , Augusto Del Zotto , Klaus Widmayer

In this paper we study the existence of periodic travelling waves for the 2D $abcd$ Boussinesq type system related with the three-dimensional water-wave dynamics in the weakly nonlinear long-wave regime. We show that small solutions that…

Mathematical Physics · Physics 2015-11-30 Jose Quintero , Alex Montes

Streamwise vortices and the associated streaks evolve in boundary layers over flat or concave surfaces due to disturbances initiated upstream or triggered by the wall surface. Following the transient growth phase, the fully-developed vortex…

Fluid Dynamics · Physics 2022-06-06 Omar Es-Sahli , Adrian Sescu , Mohammed Afsar , Yuji Hattori
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