A new semi-analytical solution for inertial waves in a rectangular parallelepiped

A study of inertial gyroscopic waves in a rotating homogeneous fluid is undertaken both theoretically and numerically. A novel approach is presented to construct a semi-analytical solution of a linear three-dimensional fluid flow in a rotating rectangular parallelepiped bounded by solid walls. The t...

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Veröffentlicht in:Physics of fluids (1994) 2013-12, Vol.25 (12), p.148-181
Hauptverfasser: Nurijanyan, S, Bokhove, O, Maas, LRM
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container_title Physics of fluids (1994)
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creator Nurijanyan, S
Bokhove, O
Maas, LRM
description A study of inertial gyroscopic waves in a rotating homogeneous fluid is undertaken both theoretically and numerically. A novel approach is presented to construct a semi-analytical solution of a linear three-dimensional fluid flow in a rotating rectangular parallelepiped bounded by solid walls. The three-dimensional solution is expanded in vertical modes to reduce the dynamics to the horizontal plane. On this horizontal plane, the two dimensional solution is constructed via superposition of "inertial" analogs of surface Poincare and Kelvin waves reflecting from the walls. The infinite sum of inertial Poincare waves has to cancel the normal flow of two inertial Kelvin waves near the boundaries. The wave system corresponding to every vertical mode results in an eigenvalue problem. Corresponding computations for rotationally modified surface gravity waves are in agreement with numerical values obtained by Taylor.
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source American Institute of Physics (AIP) Journals; AIP Digital Archive; Alma/SFX Local Collection
subjects Computational fluid dynamics
Fluid dynamics
Fluid flow
Fluids
Inertial
Mathematical models
Oscillations
Parallelepipeds
Physics
Rotating
title A new semi-analytical solution for inertial waves in a rectangular parallelepiped
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