Boundary integrals for oscillating bodies in stratified fluids

DOI10.1017/jfm.2021.729zbMath1476.76018OpenAlexW3199112770WikidataQ114118167 ScholiaQ114118167MaRDI QIDQ5155025

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Publication date: 5 October 2021

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

Full work available at URL: https://doi.org/10.1017/jfm.2021.729

zbMATH Keywords

boundary integral method stratified flow internal wave Kirchhoff-Helmholtz integral representation Lighthill wave radiation condition

Mathematics Subject Classification ID

Internal waves for incompressible inviscid fluids (76B55) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Stratification effects in inviscid fluids (76B70)

Uses Software

BEMLIB

Cites Work

Experimental study of internal gravity waves generated by supercritical topography
Tidal flow over three-dimensional topography in a stratified fluid
Fundamental Results Concerning Integral Representations in Acoustic Radiation
Motion of an axisymmetric body in a rotating stratified fluid confined between two parallel planes
Impulsively started oscillations in a rotating stratified fluid
Scattering of Inertial Waves in a Rotating Fluid
The effects of a corner on a propagating internal gravity wave
Internal waves in a wedge-shaped region
A general method for solving steady-state internal gravity wave problems
Stratified tidal flow over a tall ridge above and below the turning latitude
On the vibrations of a two-sided disc in a stratified fluid
Generation of Coulomb Wave Functions by Means of Recurrence Relations
The problem of gravity-gyroscopic waves, which are excited by the oscillations of a curve
The problem of gravity-gyroscopic waves, which are excited by the oscillations of a curve
The first initial boundary value problem for a compound type equation in a three-dimensional multiply connected region
Evolutionary equation of inertial waves in 3-D multiply connected domain with Dirichlet boundary condition
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Hydrodynamic loads acting on an oscillating cylinder submerged in a stratified fluid with ice cover
Internal gravity waves, boundary integral equations and radiation conditions
Oscillations of a cylinder piercing a linearly stratified fluid layer
The fundamental solution of the equation of internal waves and some initial-boundary value problems
Calculation and measurement of conical beams of three-dimensional periodic internal waves excited by a vertically oscillating piston
Study of internal waves in the case of rapid horizontal motion of cylinders and spheres
Asymptotic estimates for \(t \to \infty\) of mixed problems for an equation of mathematical physics
Added mass of a spheroid oscillating in a linearly stratified fluid
On the problem of the oscillations of a rotating stratified fluid excited by a plane two-sided disc
Fundamental solution of the equation of gravitational-gyroscopic wave equation and the solvability of the internal and external Dirichlet problems
Fundamental solutions of Sobolev-type operators and some initial boundary-value problems
The pseudohyperbolic problem arising in the dynamics of stratified rotating fluids
An initial-boundary value problem for the pseudo-hyperbolic equation of gravity-gyroscopic waves
Asymptotics of the gradient of the solution and the inception of singularities in the initial-boundary problem for an equation of a composite type
The second initial boundary value problem for the gravitation-gyroscopic wave equation in exterior domains
Initial-boundary value problem for an equation of internal gravity waves in a 3-D multiply connected domain with Dirichlet boundary condition
Oscillations of a circular cylinder in a linearly stratified fluid
The second initial-boundary value problem for an equation of gravitational-gyroscopic waves
Oscillation of a set of curvilinear segments in a stratified fluid
The limit amplitude of the initial and boundary-value problem for an equation of composite type in a multiply connected domain
The first initial-boundary value problem for the gravity-inertia wave equation in a multiply connected domain
Oscillation of a two-sided line segment in a stratified fluid.
Unsteady waves in a stratified fluid excited by the variation of the normal velocity component on a line segment.
On the solvability of an initial-boundary value problem for the internal-wave equation
Heritage and early history of the boundary element method
Asymptotic solution of the problem on nonstationary vibrations of a continuously stratified medium with small dissipation
On the dynamic potential theory for the equation of a weakly stratified fluid
On the small vibrations of a stratified capillary liquid
The generation of internal waves by vibrating elliptic cylinders. Part 3. Angular oscillations and comparison of theory with recent experimental observations
Inertial waves in a rotating spherical shell: attractors and asymptotic spectrum
Generation of internal gravity waves by an oscillating horizontal disc
Generation of internal waves from rest: extended use of complex coordinates, for a sphere but not a disk
Tangential oscillations of a circular disk in a viscous stratified fluid
Internal tide generation by arbitrary two-dimensional topography
Internal wave generation by oscillation of a sphere, with application to internal tides
Tidally generated internal-wave attractors between double ridges
The structure of the internal wave Mach front generated by a point source moving in a stratified fluid
The structure of three-dimensional periodic boundary layers in a continuously stratified fluid
Tidal generation of internal waves from a periodic array of steep ridges
Enumeration, orthogonality and completeness of the incompressible Coriolis modes in a sphere
Small non-stationary vibrations of vertical plates in a channel with a stratified liquid
On the small vibrations of a section placed at the boundary of separation between two stratified liquids
The theory of internal and surface waves in a stratified liquid
The problem of the vibrations of a rotating stratified liquid excited by a planar disc
Internal wave excitation by a vertically oscillating elliptical cylinder
The equation and several problems associated with it
An initial-boundary value problem for the gravitational-gyroscopic wave equation
Internal gravity waves generated by oscillations of a sphere
NON-BOUSSINESQ EFFECTS IN THE DIFFRACTION OF INTERNAL WAVES FROM AN OSCILLATING CYLINDER
The gravitational-gyroscopic wave equation: The angular potential and its applications
Solvability of an exterior initial-boundary value problem for the gravitational gyroscopic wave equation
On the non-stationary larsen problem
The problem of the oscillations of a flat disc in a stratified liquid
Gyroscopic gravitational waves caused by the oscillations of a straight section
POTENTIAL THEORY FOR THE EQUATION OF SMALL OSCILLATIONS OF A ROTATING FLUID
Generalized scalar potentials for linearized three-dimensional flows with vorticity
Internal wave generation in uniformly stratified fluids. Part 1. Green's function and point sources
Boundary Integral and Singularity Methods for Linearized Viscous Flow
The generation of internal waves by vibrating elliptic cylinders. Part 1. Inviscid solution
The generation of internal waves by vibrating elliptic cylinders. Part 2. Approximate viscous solution
Tidal conversion at a very steep ridge
Force on a body in a continuously stratified fluid. Part 2. Sphere
Internal wave excitation by a vertically oscillating sphere
Limit states of internal wave beams
Generation of internal waves in a rotating, stratified fluid: Some symmetry properties
Vibrations of a flat disk at the interface between two stratified liquids
An explicit solution of the pseudo‐hyperbolic initial boundary value problem in a multiply connected region
On the internal shear layers spawned by the critical regions in oscillatory Ekman boundary layers
An initial-boundary value problem for the evolutionary pde of composite type with the mixed boundary condition
Visualization and measurement of internal waves by ‘synthetic schlieren’. Part 1. Vertically oscillating cylinder
Think Before You Compute
Internal shear layers from librating objects
Near-field internal wave beams in two dimensions
Added mass: a complex facet of tidal conversion at finite depth