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INTERACTION OF TOPOGRAPHY WITH SOLITARY ROSSBY WAVES IN A NEAR-RESONANT FLOW

Lü Keli, Houshuo Jiang

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Abstract

An inhomogeneous KdV equation including topographic forcing is derived by using perturbation expansions and stretching transforms of time and space.The generation of forced solitary Rossby waves by topography in a near-resonant flow and their interactions with free solitary waves are discussed,and some interesting results are obtained.The numerical results show that the topography has obvious effect on enhancing the amplitude of disturbances,and it may explain to some degree the formation of blocking by localized topography.

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What this paper is about

An inhomogeneous KdV equation including topographic forcing is derived by using perturbation expansions and stretching transforms of time and space.The generation of forced solitary Rossby waves by topography in a near-resonant flow and their interactions with free solitary waves are discussed,and some interesting results are obtained.The numerical results show that the topography has obvious effect on enhancing the amplitude of disturbances,and it may explain to some degree the formation of blocking by localized topography.

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Available abstract

An inhomogeneous KdV equation including topographic forcing is derived by using perturbation expansions and stretching transforms of time and space.The generation of forced solitary Rossby waves by topography in a near-resonant flow and their interactions with free solitary waves are discussed,and some interesting results are obtained.The numerical results show that the topography has obvious effect on enhancing the amplitude of disturbances,and it may explain to some degree the formation of blocking by localized topography.

Key concepts: Rossby wave, Korteweg–de Vries equation, Perturbation (astronomy), Amplitude, Forcing (mathematics), Rossby number, Physics, Flow (mathematics)

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INTERACTION OF TOPOGRAPHY WITH SOLITARY ROSSBY WAVES IN A NEAR-RESONANT FLOW — Research Paper | ScholarLens