Analytic solutions to the shallow water equations

R. Iacono

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4 Citations (Scopus)


Analytic, two-dimensional steady-state solutions to the rotating shallow water equations over variable topography are derived, by exploiting a drastic simplification of the equilibrium problem that occurs for nondivergent flows. For such flows, the equilibrium system decouples, and the cross-stream component of the momentum equation formally reduces to the barotropic vorticity equation. Thus, any solution to the barotropic vorticity equation can be used, in principle, to construct exact equilibrium solutions to the shallow water equations. © 2005 The American Physical Society.
Original languageEnglish
Article number017302
Pages (from-to)-
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number1
Publication statusPublished - Jul 2005
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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