Abstract:
Propagation of small perturbations in a two-layer inviscid stratified uniformly rotating fluid is studied assuming that the higher and lower density fluids occupy unbounded lower and upper half-spaces, respectively. The source of excitation is a plane wave travelling along the interface of the fluids. An explicit analytical solution of the problem is constructed, and its existence and uniqueness is proved. The long-time wave pattern developing in the fluids is analyzed.
Key words:
propagation of perturbations in stratified fluid, rotating fluid, stream function, internal waves, surface waves.
Citation:
L. V. Perova, “Propagation of perturbations in a two-layer stratified rotating fluid with an interface excited by moving sources”, Zh. Vychisl. Mat. Mat. Fiz., 53:1 (2013), 90–118; Comput. Math. Math. Phys., 53:1 (2013), 93–118
\Bibitem{Per13}
\by L.~V.~Perova
\paper Propagation of perturbations in a two-layer stratified rotating fluid with an interface excited by moving sources
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2013
\vol 53
\issue 1
\pages 90--118
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\jour Comput. Math. Math. Phys.
\yr 2013
\vol 53
\issue 1
\pages 93--118
\crossref{https://doi.org/10.1134/S0965542513010065}
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Linking options:
https://www.mathnet.ru/eng/zvmmf9797
https://www.mathnet.ru/eng/zvmmf/v53/i1/p90
This publication is cited in the following 1 articles:
Wang W.-h., Du Ya.-zh., Wang L.-l., Wang Ya.-y., Huang Y., “Novel Numerical Method to Simulate Hydrodynamic Characteristic of Moving Body Through Free Surface and Stratified-Fluid Interface”, Ocean Eng., 205 (2020), 107234
Citation in format AMSBIB
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