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We study an incompressible viscous flow around an obstacle with an oscillating boundary that moves by a translational periodic motion, and we show existence of strong time-periodic solutions for small data in different configurations: If…

偏微分方程分析 · 数学 2023-03-20 Thomas Eiter , Yoshihiro Shibata

Recent numerical simulations have shown long-lived axisymmetric sub- and super-Keplerian flows in protoplanetary disks. These zonal flows are found in local as well as global simulations of disks unstable to the magnetorotational…

地球与行星天体物理 · 物理学 2015-06-12 Karsten Dittrich , Hubert Klahr , Anders Johansen

Center manifold analysis can be used in order to investigate the stability of the stationary solutions of various PDEs. This can be done by considering the PDE as an ODE between certain Banach spaces and linearising about the stationary…

偏微分方程分析 · 数学 2012-09-20 David Hartley

This study analyses the main characteristics of the fully developed laminar pulsatile flow in a toroidal pipe as the governing parameters vary. A novel computational technique is developed to obtain time-periodic solutions of the…

流体动力学 · 物理学 2023-12-04 Valerio Lupi , J. Simon Kern , Philipp Schlatter

In this paper we investigate the flow of surfaces by a class of symmetric functions of the principal curvatures with a mixed volume constraint. We consider compact surfaces without boundary that can be written as a graph over a sphere. The…

偏微分方程分析 · 数学 2016-01-20 David Hartley

This work is motivated by the interest in determining the effect of the micro-anatomy of the spinal subarachnoid space on the cerebrospinal fluid flow and on the associated transport of solutes. To that aim, we focus on a canonical model…

We investigate the long-term evolution of an initially buoyant magnetic flux tube emerging into a gravitationally-stratified coronal hole environment and report on the resulting oscillations and outflows. We perform 2.5D nonlinear numerical…

太阳与恒星天体物理 · 物理学 2012-04-02 J. A. McLaughlin , G. Verth , V. Fedun , R. Erdélyi

We present an experimental study of a turbulent von K\'arm\'an flow produced in a cylindrical container using two propellers. The mean flow is stationary up to $Re = 10^4$, where a bifurcation takes place. The new regime breaks some…

流体动力学 · 物理学 2009-01-30 Alberto de la Torre , Javier Burguete

Phase transitions can modify quantum behaviour on mesoscopic scales and give access to new and unusual quantum dynamics. Here we investigate the superfluid properties of a rotating two-component Bose--Einstein condensate as a function of…

量子气体 · 物理学 2016-03-09 Angela White , Tara Hennessy , Thomas Busch

Shear-driven flow between a rotating cylinder and a stationary elliptical enclosure is studied in this paper. Two-dimensional time-dependent Navier Stokes equations are solved using a meshless method where interpolations are done with…

流体动力学 · 物理学 2022-01-26 Akash Unnikrishnan , Shantanu Shahane , Vinod Narayan , Surya Pratap Vanka

We compute the flow induced by the steady translation of a rigid sphere along the axis of a large cylindrical container filled with a low-viscosity fluid set in rigid-body rotation, the sphere being constrained to spin at the same rate as…

流体动力学 · 物理学 2023-08-02 Tristan Aurégan , Thomas Bonometti , Jacques Magnaudet

In the spatial circular restricted three-body problem librational motion around the Lagrangian points $L_4$ and $L_5$ exists up to high inclinations of the massless object. We report the results of numerical investigations on the stability…

地球与行星天体物理 · 物理学 2017-08-10 Ákos Bazsó , Richard Schwarz , Bálint Érdi , Barbara Funk

We investigate generalized Navier-Stokes (GNS) equations that couple nonlinear advection with a generic linear instability. This analytically tractable minimal model for fluid flows driven by internal active stresses has recently been shown…

流体动力学 · 物理学 2020-04-10 Rohit Supekar , Vili Heinonen , Keaton J. Burns , Jörn Dunkel

The internal behaviour of debris flows provides fundamental insight into the mechanics responsible for their motion. We provide velocity data within a small-scale experimental debris flow, consisting of the instantaneous release of a…

流体动力学 · 物理学 2020-03-26 Caitlin M. Chalk , Jeffrey Peakall , Gareth Keevil , Raul Fuentes

The Poincar\'e problem is a model of two-dimensional internal waves in stable-stratified fluid. The chess billiard flow, a variation of a typical billiard flow, drives the formation behind and describes the evolution of these internal…

偏微分方程分析 · 数学 2022-10-25 Sally Zhu , Zhenhao Li

Results from a new series of experiments on flows generated by localized heating in the presence of a background zonal current on the polar beta-plane are presented. The flow induced by a heater without the background zonal flow is in the…

大气与海洋物理 · 物理学 2015-06-15 Yi Sui , Yakov D. Afanasyev

A large eddy simulation (LES) with an extended Smagorinsky model has been carried to investigate numerically the fully developed turbulent flow of a shear thinning fluid (n=0.75) in a stationary pipe at a simulation's Reynolds number equals…

流体动力学 · 物理学 2020-06-01 Mohamed Abdi , Meryem Ould-Rouiss , Abdelkader Noureddine

We report the results of three-dimensional direct numerical simulations for incompressible viscous fluid in a circular pipe flow with a sudden expansion. At the inlet, a parabolic velocity profile is applied together with a finite amplitude…

流体动力学 · 物理学 2019-01-08 Kamal Selvam , Jorge Peixinho , Ashley P. Willis

We study the dynamical behavior of compressible fluids evolving on the outer domain of communication of a Schwarzschild background. To this end, we design several numerical methods which take the Schwarzschild geometry into account and we…

偏微分方程分析 · 数学 2016-12-30 Philippe G. LeFloch , Shuyang Xiang

We report the experimental observation of a robust horizontal mean flow induced by internal gravity waves. A wave beam is forced at the lateral boundary of a tank filled with a linearly stratified fluid initially at rest. After a transient…

流体动力学 · 物理学 2012-09-03 Guilhem Bordes , Antoine Venaille , Sylvain Joubaud , Philippe Odier , Thierry Dauxois