Exact solution describing a shallow water flow in an extending stripe

2008/02/28 by С. В. Головин, Sergey V. Golovin, Golovin, Sergey V.
Engineering · Mathematics · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics Simulations and Interactions #Fluid Dynamics and Vibration Analysis #Mathematical Physics (math-ph) #math-ph #math.MP #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.0802.4134

9 pages, 5 figures

arxiv created 2008/02/28 · openalex publication_date 2008/02/28 · arxiv updated 2010/08/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Partially invariant solution to (2+1)D shallow water equation is constructed and investigated. The solution describes an extension of a stripe, bounded by linear source and drain of fluid. Realizations of smooth flow and of hydraulic jump are possible. Particle trajectories and sonic characteristics on the obtained solution are calculated.

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