An exact theory of nonlinear waves on a Lagrangian-mean flow

From MaRDI portal
Publication:3863557

DOI10.1017/S0022112078002773zbMath0426.76025OpenAlexW2077550432WikidataQ56594282 ScholiaQ56594282MaRDI QIDQ3863557

M. E. McIntyre, David G. Andrews

Publication date: 1978

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112078002773




Related Items (only showing first 100 items - show all)

Oscillating viscous flow past a streamwise linear array of circular cylindersComputing Lagrangian meansThe catalytic effect of near-inertial waves on -plane zonal jetsMulti-scale dynamics of the interaction between waves and mean flows: From nonlinear WKB theory to gravity-wave parameterizations in weather and climate modelsLagrangian reduction and wave mean flow interactionAveraged Lagrangians and the mean effects of fluctuations in ideal fluid dynamicsNonlinear steady states to Langmuir circulation in shallow layers: an asymptotic studyAttenuated wave-induced drift in a viscous rotating oceanAn exact Lagrangian-mean wave activity for finite-amplitude disturbances to barotropic flow on a sphereMagnetohydrodynamic drift equations: from Langmuir circulations to magnetohydrodynamic dynamo?Streaming vorticity flux from oscillating walls with finite amplitudeStochastic parametrization of the Richardson tripleA generalised-Lagrangian-mean model of the interactions between near-inertial waves and mean flowDispersive effects on wave-current interaction and vorticity transport in nearshore flowsA note on the diffusion in fluids with wave-induced random motion. Applications to the barotropic Rossby wavesGeodesic motion on groups of diffeomorphisms with H1 metric as geometric generalised Lagrangian mean theoryA geometric look at MHD and the Braginsky dynamoStochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamicsStokes driftAcoustic streaming in the ear itselfLinear and nonlinear fluid motion generated by an oscillating obstacleOn the instability of wave-catalysed longitudinal vortices in strong shearGeometric formulation of the Cauchy invariants for incompressible Euler flow in flat and curved spacesAcoustic streaming: an arbitrary Lagrangian–Eulerian perspectiveWeakly nonlinear non-Boussinesq internal gravity wavepacketsExperimental particle paths and drift velocity in steep waves at finite water depthLangmuir-type vortices in wall-bounded flows driven by a criss-cross wavy wall topographyStable and unstable shear modes of rotating parallel flows in shallow waterA note on the divergence effect and the Lagrangian-mean surface elevation in periodic water wavesOn the derivation of the Navier–Stokes–alpha equations from Hamilton's principleOn the Lagrangian period in steep periodic wavesAn exact local conservation theorem for finite-amplitude disturbances to non-parallel shear flows, with remarks on Hamiltonian structure and on Arnol'd's stability theoremsTwo-Timing Hypothesis, Distinguished Limits, Drifts, and Pseudo-Diffusion for Oscillating FlowsModulation of an internal gravity wave packet in a stratified shear flowNumerical study of effect of wave phase on Reynolds stresses and turbulent kinetic energy in Langmuir turbulenceThe stability of inviscid flows over passive compliant wallsA gentle stroll through EP flux theoryLagrangian transport by vertically confined internal gravity wavepacketsOn the formation of longitudinal vortices in a turbulent boundary layer over wavy terrainA Family of Wave‐Mean Shear Interactions and Their Instability to Longitudinal Vortex FormThe energetics of the interaction between short small-amplitude internal waves and inertial wavesVariational nonlinear WKB in the Eulerian frameImplementation of the LANS-\(\alpha\) turbulence model in a primitive equation ocean modelVortex dynamics of oscillating flowsLagrangian averages, averaged Lagrangians, and the mean effects of fluctuations in fluid dynamicsA numerical study of the alpha model for two-dimensional magnetohydrodynamic turbulent flowsAn alternative interpretation for the Holm “alpha model”Mean drift velocity in viscous flow over a corrugated bottomAn alternative view of generalized Lagrangian mean theoryLagrangian averaging with geodesic meanInfluence of Langmuir circulations on turbulence in the bottom boundary layer of shallow waterStochastic modelling in fluid dynamics: Itô versus StratonovichAmplitude equations for wave packets in slightly inhomogeneous unstable flowsMean flow velocities and mass transport for equatorially-trapped water waves with an underlying currentDissipative wave-mean interactions and the transport of vorticity or potential vorticityA dissipative point-vortex model for nearshore circulationFrame invariance and conservation in two-dimensional subgrid modelsDynamics of a stratified shear layer above a region of uniform stratificationMean motions induced by baroclinic instability in a jetStochastic variational formulations of fluid wave-current interactionDirect numerical simulations of the Navier-Stokes alpha modelFluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motionLength-scale estimates for the LANS-\(\alpha\) equations in terms of the Reynolds numberInternal gravity wave radiation into weakly stratified fluidStochastic closures for wave-current interaction dynamicsParticle paths in nonlinear Schrödinger models in the presence of linear shear currentsAvailable potential vorticity and wave-averaged quasi-geostrophic flowDrift and deformation of oil slicks due to surface wavesMean flows induced by inertia–gravity waves in a vertically confined domainOn Lagrangian drift in shallow-water waves on moderate shearThe hybrid Euler–Lagrange procedure using an extension of Moffatt's methodEulerian–Lagrangian means in rotating, magnetohydrodynamic flows I. General resultsCovariant description of non-relativistic magnetohydrodynamicsA general theory of critical level absorption and valve effects for linear wave propagationInertia-gravity-wave scattering by three-dimensional geostrophic turbulenceThe Euler-Poincaré equations and semidirect products with applications to continuum theoriesSelf-consistent Hamiltonian dynamics of wave mean-flow interaction for a rotating stratified incompressible fluidThe ideal Craik-Leibovich equationsThe wave-induced flow of internal gravity wavepackets with arbitrary aspect ratioOn the interaction of an internal wavepacket with its induced mean flow and the role of streamingGeometric generalised Lagrangian-mean theoriesWave-induced mean flows in rotating shallow water with uniform potential vorticityStudy of wave effect on vorticity in Langmuir turbulence using wave-phase-resolved large-eddy simulationParticle dispersion by random waves in the rotating Boussinesq systemA conservative scheme for simulation of free-surface turbulent and wave flowsOn a submerged sphere in a viscous fluid excited by small-amplitude periodic motionsSubgrid-scale structure and fluxes of turbulence underneath a surface waveExperimental study of particle trajectories below deep-water surface gravity wave groupsOn Langmuir circulation in 1 : 2 and 1 : 3 resonanceWave–vortex interactions, remote recoil, the Aharonov–Bohm effect and the Craik–Leibovich equationOn the physical mechanisms of the two-way coupling between a surface wave field and a circulation consisting of a roll and streakGeometric Lagrangian averaged Euler–Boussinesq and primitive equationsWave-averaged balance: a simple exampleOn Langmuir circulation in shallow watersStochastic effects of waves on currents in the ocean mixed layerWeakly Nonlinear Internal Waves in ShearExact evaluation of the effect of an arbitrary mean flow in kinematic dynamo theoryThe Navier–Stokes-αequations revisitedOn the etiology of shear layer vorticesEvolution Equations for Long, Nonlinear Internal Waves in Stratified Shear Flows



Cites Work


This page was built for publication: An exact theory of nonlinear waves on a Lagrangian-mean flow