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Journal articles on the topic 'Wave flows'

Author: Grafiati

Published: 4 June 2021

Last updated: 16 February 2022

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1

Choi, J. E., M. K. Sreedhar, and F. Stern. "Stokes Layers in Horizontal-Wave Outer Flows." Journal of Fluids Engineering 118, no. 3 (1996): 537–45. http://dx.doi.org/10.1115/1.2817792.

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Results are reported of a computational study investigating the responses of flat plate boundary layers and wakes to horizontal wave outer flows. Solutions are obtained for temporal, spatial, and traveling waves using Navier Stokes, boundary layer, and perturbation expansion equations. A wide range of parameters are considered for all the three waves. The results are presented in terms of Stokes-layer overshoots, phase leads (lags), and streaming. The response to the temporal wave showed all the previously reported features. The magnitude and nature of the response are small and simple such th

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2

MILES, JOHN. "Gravity waves on shear flows." Journal of Fluid Mechanics 443 (September 25, 2001): 293–99. http://dx.doi.org/10.1017/s0022112001005043.

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The eigenvalue problem for gravity waves on a shear flow of depth h and non-inflected velocity profile U(y) (typically parabolic) is revisited, following Burns (1953) and Yih (1972). Complementary variational formulations that provide upper and lower bounds to the Froude number F as a function of the wave speed c and wavenumber k are constructed. These formulations are used to improve Burns's long-wave approximation and to determine Yih's critical wavenumber k∗, for which the wave is stationary (c = 0) and to which k must be inferior for the existence of an upstream running wave.

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3

KAGHASHVILI, EDISHER KH. "Alfvén waves in shear flows: Driven wave formalism." Journal of Plasma Physics 79, no. 5 (2013): 797–804. http://dx.doi.org/10.1017/s0022377813000500.

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AbstractThe driven wave formalism, as it was later applied to the solar coronal plasma processes, was first developed in our earlier work (Kaghashvili, E. Kh. 2007 Alfvén wave-driven compressional fluctuations in shear flows. Phys. Plasmas14, 44502) that presented the analytical solutions for the plasma density fluctuations. In the driven-wave formalism, we look for the short-term changes in the initial waveform due to the linear interaction of the initial natural mode of the system and the flow inhomogeneity. This formalism allows us to obtain the analytical solutions for the driven waves tha

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4

Johnson, E. R., and G. G. Vilenski. "Two-dimensional leaps in near-critical flow over isolated orography." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2064 (2005): 3747–63. http://dx.doi.org/10.1098/rspa.2005.1530.

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This paper describes steady two-dimensional disturbances forced on the interface of a two-layer fluid by flow over an isolated obstacle. The oncoming flow speed is close to the linear longwave speed and the layer densities, layer depths and obstacle height are chosen so that the equations of motion reduce to the forced two-dimensional Korteweg–de Vries equation with cubic nonlinearity, i.e. the forced extended Kadomtsev–Petviashvili equation. The distinctive feature noted here is the appearance in the far lee-wave wake behind obstacles in subcritical flow of a ‘table-top’ wave extending almost

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5

Kandaswamy, Palani G., B. Tamil Selvi, and Lokenath Debnath. "Propagation of Rossby waves in stratified shear flows." International Journal of Mathematics and Mathematical Sciences 12, no. 3 (1989): 547–57. http://dx.doi.org/10.1155/s0161171289000682.

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A study is made of the propagation of Rossby waves in a stably stratified shear flows. The wave equation for the Rossby waves is derived in an isothermal atmosphere on a beta plane in the presence of a latitudinally sheared zonal flow. It is shown that the wave equation is singular at five critical levels, but the wave absorption takes place only at the two levels where the local relative frequency equals in magnitude to the Brunt Vaisala frequency. This analysis also reveals that these two levels exhibit valve effect by allowing the waves to penetrate them from one side only. The absorption c

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6

WEBB, G. M., E. Kh KAGHASHVILI, and G. P. ZANK. "Magnetohydrodynamic wave mixing in shear flows: Hamiltonian equations and wave action." Journal of Plasma Physics 73, no. 1 (2007): 15–68. http://dx.doi.org/10.1017/s0022377806004399.

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Abstract.Magnetohydrodynamic wave interactions in a linear shear flow are investigated using the Lagrangian fluid displacement ξ and entropy perturbation Δ S, in which a spatial Fourier solution is obtained in the frame of the background shear flow (Kelvin's method). The equations reduce to three coupled oscillator equations, with time-dependent coefficients and with source terms proportional to the entropy perturbation. In the absence of entropy perturbations, the system admits a wave action conservation integral consisting of positive and negative energy waves. Variational and Hamiltonian fo

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7

Yuan, Jing, Ole Madsen, and Eng Soon Chan. "EXPERIMENTAL STUDY OF TURBULENT OSCILLATORY BOUNDARY LAYERS IN A NEW OSCILLATORY WATER TUNNEL." Coastal Engineering Proceedings 1, no. 33 (2012): 24. http://dx.doi.org/10.9753/icce.v33.waves.24.

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A new oscillatory water tunnel has been built in the Civil and Environmental Engineering Department’s Hydraulic Laboratory at the National University of Singapore. It can accurately produce oscillatory flows that correspond to full-scale sea waves. Tests including pure sinusoidal waves and combined wave-current flows over smooth and rough bottoms have been performed. High quality measurements of the boundary layer flow fields are obtained using a PIV system. The PIV measured flow field is phase and spatially averaged to give a mean vertical velocity profile. It is found that the logarithmic pr

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8

YAO, LUN-SHIN. "A resonant wave theory." Journal of Fluid Mechanics 395 (September 25, 1999): 237–51. http://dx.doi.org/10.1017/s0022112099005832.

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Analysis is used to show that a solution of the Navier–Stokes equations can be computed in terms of wave-like series, which are referred to as waves below. The mean flow is a wave of infinitely long wavelength and period; laminar flows contain only one wave, i.e. the mean flow. With a supercritical instability, there are a mean flow, a dominant wave and its harmonics. Under this scenario, the amplitude of the waves is determined by linear and nonlinear terms. The linear case is the target of flow-instability studies. The nonlinear case involves energy transfer among the waves satisfying resona

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9

FRACCAROLLO, L., and H. CAPART. "Riemann wave description of erosional dam-break flows." Journal of Fluid Mechanics 461 (June 25, 2002): 183–228. http://dx.doi.org/10.1017/s0022112002008455.

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This work examines the sudden erosional flow initiated by the release of a dam-break wave over a loose sediment bed. Extended shallow-water equations are formulated to describe the development of the surge. Accounting for bed material inertia, a transport layer of finite thickness is introduced, and a sharp interface view of the morphodynamic boundary is adopted. Approximations are sought for an intermediate range of wave evolution, in which equilibration of the sediment load can be assumed instantaneous but momentum loss due to bed friction has not yet been felt. The resulting homogeneous hyp

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10

TAM, CHRISTOPHER K. W., and LAURENT AURIAULT. "The wave modes in ducted swirling flows." Journal of Fluid Mechanics 371 (September 25, 1998): 1–20. http://dx.doi.org/10.1017/s0022112098002043.

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The small-amplitude wave modes inside a ducted inviscid compressible swirling flow are investigated. In order to avoid possible mathematical ambiguities arising from the use of an inviscid flow model, the wave modes are cast as the solution of an initial boundary value problem. Two families of propagating waves are found. The acoustic modes are supported by the compressibility effect of the flow. The rotational modes are sustained by the centrifugal force field associated with the mean flow rotation. Two cases, one with a free-vortex swirl and the other with a rigid-body swirl, are investigate

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11

Campbell, Bryce K., Kelli Hendrickson, and Yuming Liu. "Nonlinear coupling of interfacial instabilities with resonant wave interactions in horizontal two-fluid plane Couette–Poiseuille flows: numerical and physical observations." Journal of Fluid Mechanics 809 (November 14, 2016): 438–79. http://dx.doi.org/10.1017/jfm.2016.636.

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We investigate mechanisms governing the initial growth and nonlinear evolution of interfacial waves in horizontal two-fluid plane Couette–Poiseuille flows. Nonlinear coupling of the Kelvin–Helmholtz interfacial instability with resonant wave interactions has been shown to be capable of rapidly generating long waves through the transfer of energy from linearly unstable short waves to stable long-wave components within the context of potential flow theory. The objective of this work is to determine whether that coupled mechanism persists in laminar and turbulent viscous flows. Utilizing both the

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12

Rubina, L. I., and O. N. Ulyanov. "On double wave type flows." Sibirskii matematicheskii zhurnal 60, no. 4 (2019): 859–73. http://dx.doi.org/10.33048/smzh.2019.60.412.

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13

Riley, N. "Wave interactions and fluid flows." Contemporary Physics 28, no. 1 (1987): 71–73. http://dx.doi.org/10.1080/00107518708211042.

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14

Rubina, L. I., and O. N. Ulyanov. "On Double Wave Type Flows." Siberian Mathematical Journal 60, no. 4 (2019): 673–84. http://dx.doi.org/10.1134/s0037446619040128.

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15

Busse, F. H. "Wave interactions and fluid flows." Physics of the Earth and Planetary Interiors 46, no. 4 (1987): 390–91. http://dx.doi.org/10.1016/0031-9201(87)90096-3.

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16

Csanady, G. T. "Wave interactions and fluid flows." Limnology and Oceanography 32, no. 5 (1987): 1177. http://dx.doi.org/10.4319/lo.1987.32.5.1177.

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17

MONISMITH, S. G., E. A. COWEN, H. M. NEPF, J. MAGNAUDET, and L. THAIS. "Laboratory observations of mean flows under surface gravity waves." Journal of Fluid Mechanics 573 (February 2007): 131–47. http://dx.doi.org/10.1017/s0022112006003594.

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In this paper we present mean velocity distributions measured in several different wave flumes. The flows shown involve different types of mechanical wavemakers, channels of differing sizes, and two different end conditions. In all cases, when surface waves, nominally deep-water Stokes waves, are generated, counterflowing Eulerian flows appear that act to cancel locally, i.e. not in an integral sense, the mass transport associated with the Stokes drift. No existing theory of wave–current interactions explains this behaviour, although it is symptomatic of Gerstner waves, rotational waves that a

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18

VLACHOGIANNIS, M., and V. BONTOZOGLOU. "Observations of solitary wave dynamics of film flows." Journal of Fluid Mechanics 435 (May 25, 2001): 191–215. http://dx.doi.org/10.1017/s0022112001003688.

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Experimental results are reported on non-stationary evolution and interactions of waves forming on water and water–glycerol solution flowing along an inclined plane. A nonlinear wave generation process leads to a large number of solitary humps with a wide variety of sizes. A uorescence imaging method is applied to capture the evolution of film height in space and time with accuracy of a few microns. Coalescence – the inelastic interaction of solitary waves resulting in a single hump – is found to proceed at a timescale correlated to the difference in height between the interacting waves. The c

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19

Makarenko, Nikolay, Janna Maltseva, Eugene Morozov, Roman Tarakanov, and Kseniya Ivanova. "Internal waves in marginally stable abyssal stratified flows." Nonlinear Processes in Geophysics 25, no. 3 (2018): 659–69. http://dx.doi.org/10.5194/npg-25-659-2018.

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Abstract. The problem on internal waves in a weakly stratified two-layer fluid is studied semi-analytically. We discuss the 2.5-layer fluid flows with exponential stratification of both layers. The long-wave model describing travelling waves is constructed by means of a scaling procedure with a small Boussinesq parameter. It is demonstrated that solitary-wave regimes can be affected by the Kelvin–Helmholtz instability arising due to interfacial velocity shear in upstream flow.

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20

Kribus, A., and S. Leibovich. "Instability of strongly nonlinear waves in vortex flows." Journal of Fluid Mechanics 269 (June 25, 1994): 247–64. http://dx.doi.org/10.1017/s0022112094001540.

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Weakly nonlinear descriptions of axisymmetric cnoidal and solitary waves in vortices recently have been shown to have strongly nonlinear counterparts. The linear stability of these strongly nonlinear waves to three-dimensional perturbations is studied, motivated by the problem of vortex breakdown in open flows. The basic axisymmetric flow varies both radially and axially, and the linear stability problem is therefore nonseparable. To regularize the generalization of a critical layer, viscosity is introduced in the perturbation problem. In the absence of the waves, the vortex flows are linearly

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21

Delale, Can F., Günter H. Schnerr, and Jürgen Zierep. "Asymptotic solution of shock tube flows with homogeneous condensation." Journal of Fluid Mechanics 287 (March 25, 1995): 93–118. http://dx.doi.org/10.1017/s0022112095000875.

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The asymptotic solution of shock tube flows with homogeneous condensation is presented for both smooth, or subcritical, flows and flows with an embedded shock wave, or supercritical flows. For subcritical flows an analytical expression, independent of the particular theory of homogeneous condensation to be employed, that determines the condensation wave front in the rarefaction wave is obtained by the asymptotic analysis of the rate equation along pathlines. The complete solution is computed by an algorithm which utilizes the classical nucleation theory and the Hertz–Knudsen droplet growth law

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22

Thomas, Jim, K. Shafer Smith, and Oliver Bühler. "Near-inertial wave dispersion by geostrophic flows." Journal of Fluid Mechanics 817 (March 22, 2017): 406–38. http://dx.doi.org/10.1017/jfm.2017.124.

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We investigate theoretically and numerically the modulation of near-inertial waves by a larger-amplitude geostrophically balanced mean flow. Because the excited wave is initially trapped in the mixed layer, it projects onto a broad spectrum of vertical modes, each mode $n$ being characterized by a Burger number, $Bu_{n}$, proportional to the square of the vertical scale of the mode. Using numerical simulations of the hydrostatic Boussinesq equations linearized about a prescribed balanced background flow, we show that the evolution of the wave field depends strongly on the spectrum of $Bu_{n}$

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23

Viroulet, S., J. L. Baker, F. M. Rocha, C. G. Johnson, B. P. Kokelaar, and J. M. N. T. Gray. "The kinematics of bidisperse granular roll waves." Journal of Fluid Mechanics 848 (June 13, 2018): 836–75. http://dx.doi.org/10.1017/jfm.2018.348.

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Small perturbations to a steady uniform granular chute flow can grow as the material moves downslope and develop into a series of surface waves that travel faster than the bulk flow. This roll wave instability has important implications for the mitigation of hazards due to geophysical mass flows, such as snow avalanches, debris flows and landslides, because the resulting waves tend to merge and become much deeper and more destructive than the uniform flow from which they form. Natural flows are usually highly polydisperse and their dynamics is significantly complicated by the particle size seg

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24

Sutherland, B. R. "Rayleigh Wave–Internal Wave Coupling and Internal Wave Generation above a Model Jet Stream." Journal of the Atmospheric Sciences 63, no. 3 (2006): 1042–55. http://dx.doi.org/10.1175/jas3658.1.

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Abstract Linear theory for modes in a nonuniformly stratified, semi-infinite shear flow demonstrates that Rayleigh waves (stable waves propagating in fluid with spatially varying shear) couple with evanescent internal waves. If the bulk Richardson number (the squared ratio of the buoyancy frequency and shear) lies between 1/4 and 1, the waves have infinite e-folding depth for waves with critical relative horizontal wavenumbers. Fully nonlinear numerical simulations examine the effect of Rayleigh wave–internal wave coupling when the shear layer is localized and is thus Kelvin–Helmholtz unstable

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25

Delisi, Donald P., and Timothy J. Dunkerton. "Laboratory Observations of Gravity Wave, Critical Layer Flows Using Single and Double Wave Forcing." Applied Mechanics Reviews 47, no. 6S (1994): S113—S117. http://dx.doi.org/10.1115/1.3124384.

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Laboratory measurements of gravity wave, critical layer flows are presented. The measurements are obtained in a salt-stratified annular tank, with a vertical shear profile. Internal gravity waves are generated at the floor of the tank and propagate vertically upward into the fluid. At a depth where the phase speed of the wave equals the mean flow speed, defined as a critical level, the waves break down, under the right forcing conditions, generating small scale turbulence. Two cases are presented. In the first case, the wave forcing is a single, monochromatic wave. In this case, the early wave

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26

Katsis, C., and T. R. Akylas. "Wind-Generated Surface Waves on a Viscous Fluid." Journal of Applied Mechanics 52, no. 1 (1985): 208–12. http://dx.doi.org/10.1115/1.3168999.

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The excitation of surface waves on a viscous fluid by shear flows is studied. Turbulent and laminar air flows over oil of low and high viscosity are considered. It is found that the dominant wave-generation mechanism depends crucially on the shear-flow profile: for a turbulent flow, long surface waves are generated at low wind speeds due to the work done by the stress components in phase with the surface slope, while Kelvin-Helmholtz instability is responsible for the excitation of short waves at higher wind speeds. On the other hand, for a laminar shear flow, direct resonance between surface

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27

SHATS, MICHAEL, HORST PUNZMANN, NICOLAS FRANCOIS, and HUA XIA. "WAVE-GENERATED FLOWS ON THE WATER SURFACE." International Journal of Modern Physics: Conference Series 42 (January 2016): 1660179. http://dx.doi.org/10.1142/s2010194516601794.

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Predicting trajectories of fluid parcels on the water surface perturbed by waves is a difficult mathematical and theoretical problem. It is even harder to model flows generated on the water surface due to complex three-dimensional wave fields, which commonly result from the modulation instability of planar waves. We have recently shown that quasi-standing, or Faraday, waves are capable of generating horizontal fluid motions on the water surface whose statistical properties are very close to those in two-dimensional turbulence. This occurs due to the generation of horizontal vortices. Here we s

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28

Bell, M. J. "The nonlinear evolution of a slowly growing wave on a laterally sheared baroclinic flow." Journal of Fluid Mechanics 241 (August 1992): 615–43. http://dx.doi.org/10.1017/s0022112092002179.

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Wave disturbances to baroclinic flows produce cyclones in the atmosphere and eddies in the oceans and have been extensively studied in laboratory experiments with differentially heated annuli of rotating fluid. Related analytical studies have concentrated mainly on the development of slowly growing waves on laterally uniform zonal flows. Neutral inviscid waves on such flows do not advect their own potential vorticity field whereas neutral waves on most laterally sheared baroclinic flows do. Scaling arguments suggest that on these laterally sheared flows the harmonics generated by the neutral w

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29

JALIKOP, SHREYAS V., and ANNE JUEL. "Steep capillary-gravity waves in oscillatory shear-driven flows." Journal of Fluid Mechanics 640 (November 10, 2009): 131–50. http://dx.doi.org/10.1017/s0022112009991509.

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We study steep capillary-gravity waves that form at the interface between two stably stratified layers of immiscible liquids in a horizontally oscillating vessel. The oscillatory nature of the external forcing prevents the waves from overturning, and thus enables the development of steep waves at large forcing. They arise through a supercritical pitchfork bifurcation, characterized by the square root dependence of the height of the wave on the excess vibrational Froude number (W, square root of the ratio of vibrational to gravitational forces). At a critical valueWc, a transition to a linear v

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30

Ma, Peifeng, and Ole Secher Madsen. "A 3D SEDIMENT TRANSPORT MODEL FOR COMBINED WAVE-CURRENT FLOWS." Coastal Engineering Proceedings 1, no. 33 (2012): 21. http://dx.doi.org/10.9753/icce.v33.sediment.21.

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Accurate prediction of current velocity and bottom shear stress, which both can be significantly influenced by wind waves, is essential for sediment transport predictions in the coastal environment. Consequently wind-wave effects must be taken into account in a numerical sediment transport model for application in coastal waters. In the present study, elements of a large-scale 3D numerical coastal circulation and sediment transport model are developed to predict net, i.e. the wave-period-averaged, sediment transport rates. The sediment transport components considered are (i) bed-load transport

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31

LIU, PHILIP L. F., YONG SUNG PARK, and JAVIER L. LARA. "Long-wave-induced flows in an unsaturated permeable seabed." Journal of Fluid Mechanics 586 (August 14, 2007): 323–45. http://dx.doi.org/10.1017/s0022112007007057.

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We present both analytical and numerical solutions describing seepage flows in an unsaturated permeable seabed induced by transient long waves. The effects of compressibility of pore water in the seabed due to a small degree of unsaturation are considered in the investigation. To make the problem tractable analytically, we first focus our attention on situations where the horizontal scale of the seepage flow is much larger than the vertical scale. With this simplification the pore-water pressure in the soil column is governed by a one-dimensional diffusion equation with a specified pressure at

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32

Gao, Jie, Ming Wei, Yunning Liu, Qun Zheng, and Ping Dong. "Experimental and numerical investigations of hole injection on the suction side throat of transonic turbine vanes in a cascade with trailing edge injection." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 232, no. 8 (2017): 1454–66. http://dx.doi.org/10.1177/0954410017694918.

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Trailing-edge mixing flows associated with coolant injection are complex, in particular at transonic flows, and result in significant aerodynamics losses. The objective of this paper is to evaluate the impacts of hole injection near the suction side throat on shock wave control and aerodynamic losses. A series of tests and calculations on effects of hole injection on the suction-side throat of a high-pressure turbine vane cascade with and without trailing-edge injection were conducted. Wake traverses with a five-hole probe and tests of pressure distributions on the turbine profile were taken f

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33

NIKORA, VLADIMIR I., ALEXANDER N. SUKHODOLOV, and PAWEL M. ROWINSKI. "Statistical sand wave dynamics in one-directional water flows." Journal of Fluid Mechanics 351 (November 25, 1997): 17–39. http://dx.doi.org/10.1017/s0022112097006708.

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Moving sand waves and the overlying tubulent flow were measured on the Wilga River in Poland, and the Tirnava Mica and Buzau Rivers in Romania. Bottom elevations and flow velocities were measured at six points simultaneously by multi-channel measuring systems. From these data, the linear and two-dimensional sections of the three-dimensional correlation and structure functions and various projections of sand wave three-dimensional spectra were investigated.It was found that the longitudinal wavenumber spectra of the sand waves in the region of large wavenumbers followed Hino's −3 law (S(Kx) ∝K−

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34

Savva, Miles A. C., and Jacques Vanneste. "Scattering of internal tides by barotropic quasigeostrophic flows." Journal of Fluid Mechanics 856 (October 5, 2018): 504–30. http://dx.doi.org/10.1017/jfm.2018.694.

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Oceanic internal tides and other inertia–gravity waves propagate in an energetic turbulent flow whose length scales are similar to the wavelengths. Advection and refraction by this flow cause the scattering of the waves, redistributing their energy in wavevector space. As a result, initially plane waves radiated from a source such as a topographic ridge become spatially incoherent away from the source. To examine this process, we derive a kinetic equation which describes the statistics of the scattering under the assumptions that the flow is quasigeostrophic, barotropic and well represented by

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35

Yang, Di, and Lian Shen. "Direct numerical simulation of scalar transport in turbulent flows over progressive surface waves." Journal of Fluid Mechanics 819 (April 18, 2017): 58–103. http://dx.doi.org/10.1017/jfm.2017.164.

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The transport of passive scalars in turbulent flows over progressive water waves is studied using direct numerical simulation. A combined pseudo-spectral and finite-difference scheme on a wave-surface-fitted grid is used to simulate the flow and scalar fields above the wave surface. Three representative wave ages (i.e. wave-to-wind speed ratios) are considered, corresponding to slow, intermediate and fast wind-waves, respectively. For each wave condition, four Schmidt numbers are considered for the scalar transport. The presence of progressive surface waves is found to induce significant wave-

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36

Zhang, Rui Jin, Hong Yue Sun, Hong Zhan Zhang, and Hosoyamada Tokuzo. "Numerical Study for Water Waves Generated by Debris Flow." Advanced Materials Research 671-674 (March 2013): 388–92. http://dx.doi.org/10.4028/www.scientific.net/amr.671-674.388.

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Earthquake or rainfall can arouse landslide, which will cause debris flow. Free surface water waves generated by plunging of debris flow cause devastating damage on human life. In this study, a numerical scheme for debris flow and free surface water wave was developed based on shallow water approximation, in which the interaction between these two flows was included newly. Generation of waves by plunging of debris flow is highly non-linear phenomena. Original CIP method and first order up-wind scheme mixed with second order central derivative scheme were adopted to simulate collision of two in

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37

Constantin, Adrian. "Some Three-Dimensional Nonlinear Equatorial Flows." Journal of Physical Oceanography 43, no. 1 (2013): 165–75. http://dx.doi.org/10.1175/jpo-d-12-062.1.

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Abstract This study presents some explicit exact solutions for nonlinear geophysical ocean waves in the β-plane approximation near the equator. The solutions are provided in Lagrangian coordinates by describing the path of each particle. The unidirectional equatorially trapped waves are symmetric about the equator and propagate eastward above the thermocline and beneath the near-surface layer to which wind effects are confined. At each latitude the flow pattern represents a traveling wave.

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38

HALL, PHILIP, and SPENCER SHERWIN. "Streamwise vortices in shear flows: harbingers of transition and the skeleton of coherent structures." Journal of Fluid Mechanics 661 (August 16, 2010): 178–205. http://dx.doi.org/10.1017/s0022112010002892.

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The relationship between asymptotic descriptions of vortex–wave interactions and more recent work on ‘exact coherent structures’ is investigated. In recent years immense interest has been focused on so-called self-sustained processes in turbulent shear flows where the importance of waves interacting with streamwise vortex flows has been elucidated in a number of papers. In this paper, it is shown that the so-called ‘lower branch’ state which has been shown to play a crucial role in these self-sustained processes is a finite Reynolds number analogue of a Rayleigh vortex–wave interaction with sc

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39

Ligrani, P. M., C. Saumweber, A. Schulz, and S. Wittig. "Shock Wave–Film Cooling Interactions in Transonic Flows." Journal of Turbomachinery 123, no. 4 (2001): 788–97. http://dx.doi.org/10.1115/1.1397305.

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Interactions between shock waves and film cooling are described as they affect magnitudes of local and spanwise-averaged adiabatic film cooling effectiveness distributions. A row of three cylindrical holes is employed. Spanwise spacing of holes is 4 diameters, and inclination angle is 30 deg. Free-stream Mach numbers of 0.8 and 1.10–1.12 are used, with coolant to free-stream density ratios of 1.5–1.6. Shadowgraph images show different shock structures as the blowing ratio is changed, and as the condition employed for injection of film into the cooling holes is altered. Investigated are film pl

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40

Smith, Jerome A. "A Bistatic Phased-Array Doppler Sonar for Wave–Current Research." Journal of Atmospheric and Oceanic Technology 31, no. 7 (2014): 1628–41. http://dx.doi.org/10.1175/jtech-d-13-00187.1.

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Abstract Wave breaking and wave-forced flows are important to air–sea interactions and to the transport and dispersal of materials at sea. But recent measurements have shown a discrepancy in the Eulerian response to wave groups compared to scientists’ current theoretical understanding of wave–current interactions. Flow structures on scales of centimeters to meters occur underneath breaking waves, and larger-scale flows are driven by wave–current interactions (e.g., Langmuir circulation, alongshore flows). Such details of the vertically resolved flow are just beginning to be modeled, and observ

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RUYER-QUIL, C., P. TREVELEYAN, F. GIORGIUTTI-DAUPHINÉ, C. DUPRAT, and S. KALLIADASIS. "Modelling film flows down a fibre." Journal of Fluid Mechanics 603 (April 30, 2008): 431–62. http://dx.doi.org/10.1017/s0022112008001225.

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Consider the gravity-driven flow of a thin liquid film down a vertical fibre. A model of two coupled evolution equations for the local film thickness h and the local flow rate q is formulated within the framework of the long-wave and boundary-layer approximations. The model accounts for inertia and streamwise viscous diffusion. Evolution equations obtained by previous authors are recovered in the appropriate limit. Comparisons to experimental results show good agreement in both linear and nonlinear regimes. Viscous diffusion effects are found to have a stabilizing dispersive effect on the line

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KALADZE, T. D., D. J. WU, O. A. POKHOTELOV, R. Z. SAGDEEV, L. STENFLO, and P. K. SHUKLA. "Rossby-wave driven zonal flows in the ionospheric E-layer." Journal of Plasma Physics 73, no. 1 (2007): 131–40. http://dx.doi.org/10.1017/s0022377806004351.

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Abstract.A novel mechanism for the generation of large-scale zonal flows by small-scale Rossby waves in the Earth's ionospheric E-layer is considered. The generation mechanism is based on the parametric excitation of convective cells by finite amplitude magnetized Rossby waves. To describe this process a generalized Charney equation containing both vector and scalar (Korteweg–de Vries type) nonlinearities is used. The magnetized Rossby waves are supposed to have arbitrary wavelengths (as compared with the Rossby radius). A set of coupled equations describing the nonlinear interaction of magnet

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WEBB, G. M., A. ZAKHARIAN, and G. P. ZANK. "Wave mixing and instabilities in cosmic-ray-modified shocks and flows." Journal of Plasma Physics 61, no. 4 (1999): 553–99. http://dx.doi.org/10.1017/s0022377898007466.

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Wave mixing equations describing the interaction of short-wavelength sound waves and entropy waves in two-fluid cosmic ray hydrodynamics in a non-uniform, large-scale, background flow in one Cartesian space dimension are investigated. The wave interaction coefficients depend on large-scale gradients in the background flow, and consist of two physically distinct components. The first component consists of wave-damping terms due to the diffusing cosmic rays, plus squeezing instability terms associated with the large-scale cosmic ray pressure gradient. These effects were first investigated by Dru

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Erwina, Novry, Didit Adytia, Sri Redjeki Pudjaprasetya, and Toni Nuryaman. "Staggered Conservative Scheme for 2-Dimensional Shallow Water Flows." Fluids 5, no. 3 (2020): 149. http://dx.doi.org/10.3390/fluids5030149.

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Simulating discontinuous phenomena such as shock waves and wave breaking during wave propagation and run-up has been a challenging task for wave modeller. This requires a robust, accurate, and efficient numerical implementation. In this paper, we propose a two-dimensional numerical model for simulating wave propagation and run-up in shallow areas. We implemented numerically the 2-dimensional Shallow Water Equations (SWE) on a staggered grid by applying the momentum conserving approximation in the advection terms. The numerical model is named MCS-2d. For simulations of wet–dry phenomena and wav

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Grisouard, Nicolas, and Oliver Bühler. "Forcing of oceanic mean flows by dissipating internal tides." Journal of Fluid Mechanics 708 (August 8, 2012): 250–78. http://dx.doi.org/10.1017/jfm.2012.303.

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AbstractWe present a theoretical and numerical study of the effective mean force exerted on an oceanic mean flow due to the presence of small-amplitude internal waves that are forced by the oscillatory flow of a barotropic tide over undulating topography and are also subject to dissipation. This extends the classic lee-wave drag problem of atmospheric wave–mean interaction theory to a more complicated oceanographic setting, because now the steady lee waves are replaced by oscillatory internal tides and, most importantly, because now the three-dimensional oceanic mean flow is defined by time av

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Guha, Anirban, and Firdaus E. Udwadia. "Nonlinear dynamics induced by linear wave interactions in multilayered flows." Journal of Fluid Mechanics 816 (March 6, 2017): 412–27. http://dx.doi.org/10.1017/jfm.2017.84.

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Using simple kinematics, we propose a general theory of linear wave interactions between the interfacial waves of a two-dimensional (2D), inviscid, multilayered fluid system. The strength of our formalism is that one does not have to specify the physics of the waves in advance. Wave interactions may lead to instabilities, which may or may not be of the familiar ‘normal-mode’ type. Contrary to intuition, the underlying dynamical system describing linear wave interactions is found to be nonlinear. Specifically, a saw-tooth jet profile with three interfaces possessing kinematic and geometric symm

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Campbell, Bryce K., and Yuming Liu. "Nonlinear resonant interactions of interfacial waves in horizontal stratified channel flows." Journal of Fluid Mechanics 717 (February 1, 2013): 612–42. http://dx.doi.org/10.1017/jfm.2012.598.

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AbstractWe consider the problem of nonlinear resonant interactions of interfacial waves with the presence of a linear interfacial instability in an inviscid two-fluid stratified flow through a horizontal channel. The resonant triad consists of a (linearly) unstable wave and two stable waves, one of which has a wavelength that can be much longer than that of the unstable component. Of special interest is the development of the long wave by energy transfer from the base flow due to the coupled effect of nonlinear resonance and interfacial instability. By use of the method of multiple scales, we

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DELALE, C. F., and D. G. CRIGHTON. "Prandtl–Meyer flows with homogeneous condensation. Part 1. Subcritical flows." Journal of Fluid Mechanics 359 (March 25, 1998): 23–47. http://dx.doi.org/10.1017/s0022112097008379.

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Prandtl–Meyer flows with heat addition from homogeneous condensation not exceeding a critical value (subcritical flows) are investigated by an asymptotic method in the double limit of a large nucleation time followed by a small droplet growth time. The physically distinct condensation zones, with detailed analytical structure, are displayed along streamlines and the flow field in each zone is determined utilizing the asymptotic solution of the rate equation along streamlines. In particular the nucleation wave front, which corresponds to states of maximum nucleation along streamlines, is accura

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Wargula, Anna, Britt Raubenheimer, Steve Elgar, Jia-Lin Chen, and Fengyan Shi. "TIME-VARYING WAVE EFFECTS ON FLOWS AND DYNAMICS AT AN UNSTRATIFIED INLET." Coastal Engineering Proceedings, no. 36 (December 30, 2018): 45. http://dx.doi.org/10.9753/icce.v36.currents.45.

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Surface gravity waves alter discharge and circulation near and within coastal inlets, affecting the exchange and transport of water masses, nutrients, sediments, and pollutants between inland waters and the ocean. Field observations and numerical simulations suggest that, during storms, wave forcing (radiation-stress gradients) owing to wave dissipation across the ebb shoal can enhance fluxes into the inlet (Bertin et al. 2009; Wargula et al. 2014). As a result, water levels may increase inside the bay (Olabarrieta et al. 2011; Dodet et al. 2013), creating an offshore-directed pressure gradien

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Thompson, Alex C. "NUMERICAL MODEL OF BREAKWATER WAVE FLOWS." Coastal Engineering Proceedings 1, no. 21 (1988): 149. http://dx.doi.org/10.9753/icce.v21.149.

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A mathematical model of flow on a sloping breakwater face is described and results of calculations compared with some experimental results to show how the model can be calibrated. Flow above the surface of the slope is represented by the shallow water wave equations solved by a finite difference method. Flow within the breakwater is calculated by one of two methods. A solution of the linear seepage flow equations, again using finite differences or a simplified model of inflow can be used. Experimental results for runup and reflection coefficient are from tests performed at HRL Wallingford.

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