Analytical Approach of Long Waves Dynamics in an Estuary (Case Study in Karang Mumus River Estuary)
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Date
2019-10-01Author
Raming, Indriasri
Suriamihardja, Dadang Ahmad
Kusuma, Jeffry
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A mathematical model is developed for describing a propagating long wave in an
estuary. Wave dynamics in an estuary will employ the Saint Venant equation in the form of a
nonlinear partial differential equation (PDE), which consists of equations of mass conservation
and momentum conservation. Waves propagate in an estuary usually generated by tides
entering a gentle slope channel. The analytical approach is used to solve this non-linear PDE
approach using a perturbation method. This paper considers only a zero order. A cross differentiation between conservation of mass and conservation of momentum equations result
in the Bessel differential equation. The solution of zero order gives decreasing amplitude of the
long wave to the end of the estuary