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In order to achieve a virtual certification process and robust designs for turbomachinery, the uncertainty bounds for Computational Fluid Dynamics have to be known. The formulation of turbulence closure models implies a major source of the…

Computational Engineering, Finance, and Science · Computer Science 2023-04-03 Marcel Matha , Karsten Kucharczyk , Christian Morsbach

We describe short-time kinetic and steady-state properties of the non--equilibrium phases, namely, solid, liquid and gas anisotropic phases in a driven Lennard-Jones fluid. This is a computationally-convenient two-dimensional model which…

Soft Condensed Matter · Physics 2009-11-11 J. Marro , P. L. Garrido , M. Diez-Minguito

We analyse surface-fluctuations-driven fluid flow through nano-channels to investigate the interplay between boundary layer flow structures and the bulk flow of fluid under a pressure-head. Surface fluctuations of a wide range of…

Fluid Dynamics · Physics 2024-04-09 Aakash Anand , A. Bhattacharyay

We study the weakly non-linear development of shear-driven gravity waves, and investigate the mixing properties of the finite amplitude solutions. Calculations to date have been restricted to the linear theory, which predicts that gravity…

Fluid Dynamics · Physics 2007-05-23 Alexandros Alexakis , Yuan-Nan Young , Robert Rosner

In a series of papers (see \cite{CDT02} and the pertinent references therein) the 3D Navier-Stokes-$\alpha$ model were shown to be a useful complement to the 3D Navier-Stokes equations; and in particular, to be a good Reynolds version of…

Analysis of PDEs · Mathematics 2016-09-21 Ciprian Foias , Jing Tian , Bingsheng Zhang

An iterative approach is used to construct spherically symmetric equilibrium models with an anisotropic velocity distribution. The potentialities of the method have been tested on models with known distribution functions, the…

Astrophysics · Physics 2009-11-13 N. Ya. Sotnikova , S. A. Rodionov

We perform direct numerical simulations of natural convection in a differentially heated cavity over Rayleigh number $Ra=10^6$--$10^8$ at Prandtl number $Pr=0.7$, systematically varying the aspect ratio over $0.1 \leq \Gamma \leq 60$.…

Fluid Dynamics · Physics 2026-05-06 Krishan Chand , Michael Quan , Haoxiang Luo

The predictive accuracy of wall-modeled large eddy simulation is studied by systematic simulation campaigns of turbulent channel flow. The effect of wall model, grid resolution and anisotropy, numerical convective scheme and subgrid-scale…

Fluid Dynamics · Physics 2019-04-01 Saleh Rezaeiravesh , Timofey Mukha , Mattias Liefvendahl

Buoyant shear layers are encountered in many engineering and environmental applications and have been studied by researchers in the context of experiments and modeling for decades. Often, these flows have high Reynolds and Richardson…

Fluid Dynamics · Physics 2021-07-27 Naman Jain , Hieu T. Pham , Xinyi Huang , Sutanu Sarkar , Xiang Yang , Robert Kunz

The Rayleigh--Taylor instability of two immiscible fluids in the limit of small Atwood numbers is studied by means of a phase-field description. In this method the sharp fluid interface is replaced by a thin, yet finite, transition layer…

Fluid Dynamics · Physics 2009-11-13 Antonio Celani , Andrea Mazzino , Paolo Muratore-Ginanneschi , Lara Vozella

We propose a data-driven methodology to learn a low-dimensional manifold of controlled flows. The starting point is resolving snapshot flow data for a representative ensemble of actuations. Key enablers for the actuation manifold are…

The aim of this paper is to derive a new equation (the \emph{acoustic-drift equation} (ADE)) describing the generation of a flow by an acoustic wave. We consider acoustic waves of perfect barotropic gas as the zero-order solution and derive…

Fluid Dynamics · Physics 2012-06-07 Vladimir A. Vladimirov

The Reynolds-averaged Navier-Stokes (RANS) equations are widely used in turbulence applications. They require accurately modeling the anisotropic Reynolds stress tensor, for which traditional Reynolds stress closure models only yield…

Fluid Dynamics · Physics 2022-03-23 Haitz Sáez de Ocáriz Borde , David Sondak , Pavlos Protopapas

We consider the Allen-Cahn equation with nonlinear anisotropic diffusion and derive anisotropic direction-dependent curvature flow under the sharp interface limit. The anisotropic curvature flow was already studied, but its derivation is…

Analysis of PDEs · Mathematics 2024-03-05 Tadahisa Funaki , Hyunjoon Park

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

Zonal jets in a barotropic setup emerge out of homogeneous turbulence through a flow-forming instability of the homogeneous turbulent state (`zonostrophic instability') which occurs as the turbulence intensity increases. This has been…

Atmospheric and Oceanic Physics · Physics 2019-03-21 Nikolaos A. Bakas , Navid C. Constantinou , Petros J. Ioannou

We simulate the two-dimensional fluid flow around National Advisory Committee for Aeronautics (NACA) 0012 airfoil using a hybrid lattice Boltzmann method (HLBM), which combines the standard lattice Boltzmann method with an unstructured…

Fluid Dynamics · Physics 2020-06-19 Giovanni Di Ilio , Daniele Chiappini , Stefano Ubertini , Gino Bella , Sauro Succi

Motivated by numerical schemes for large scale geophysical flow, we consider the rotating shallow water and Boussinesq equations on the whole space with horizontal kinetic energy backscatter source terms built from negative viscosity and…

Fluid Dynamics · Physics 2022-03-08 Artur Prugger , Jens D. M. Rademacher , Jichen Yang

Nonstationary spatial processes can often be represented as stationary processes on a warped spatial domain. Selecting an appropriate spatial warping function for a given application is often difficult and, as a result of this, warping…

Methodology · Statistics 2026-05-20 Pratik Nag , Andrew Zammit-Mangion , Ying Sun

Adaptive mesh refinement (AMR) in the high-order spectral-element method code Nek5000 is demonstrated and validated with well-resolved large-eddy simulations (LES) of the flow past a wing profile. In the present work, the flow around a NACA…

Fluid Dynamics · Physics 2021-08-30 F. Mallor , Á. Tanarro , N. Offermans , A. Peplinski , R. Vinuesa , P. Schlatter