Vortex Structures in Fluid Dynamic Problems 2017
DOI: 10.5772/65431
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Nonlinear Interaction Between Vortex and Wave in Rotating Shallow Water

Abstract: This chapter is primarily concerned with the generation of inertia-gravity wave by vortical flows (spontaneous emission) in shallow water system on an f-plane. Sound waves are generated from vortical flows (aeroacoustics). There are many theoretical and numerical works regarding this subject. A shallow water system is equivalent to a twodimensional adiabatic gas system, if the effect of Earth's rotation is negligibly small. Then gravity waves are analogous to sound waves. While it is widely known that the effe… Show more

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Cited by 1 publication
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“…Balance has been an important theoretical concept, underlying the derivation of reduced sets of equations like quasigeostrophic [16][17][18] which have proved immensely fruitful. This concept has also enabled researchers to better understand the various ways nearly-balanced flows spontaneously emit inertia-gravity-waves [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34] , or how imbalanced flows adjust to a nearly balanced state [35][36][37][38][39][40] . Balance has also been important practically, for example in estimating oceanic flow fields from limited data, [41][42][43][44] or in weather forecasting during data assimilation.…”
Section: Introductionmentioning
confidence: 99%
“…Balance has been an important theoretical concept, underlying the derivation of reduced sets of equations like quasigeostrophic [16][17][18] which have proved immensely fruitful. This concept has also enabled researchers to better understand the various ways nearly-balanced flows spontaneously emit inertia-gravity-waves [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34] , or how imbalanced flows adjust to a nearly balanced state [35][36][37][38][39][40] . Balance has also been important practically, for example in estimating oceanic flow fields from limited data, [41][42][43][44] or in weather forecasting during data assimilation.…”
Section: Introductionmentioning
confidence: 99%