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Numerical computation of surface waves by a projection method using an adaptive Eulerian grid. (Calcul numérique des ondes de surface par une méthode de projection avec un maillage eulérien adaptatif.) (French. Abridged English version) Zbl 1027.76031
Summary: A non-hydrostatic vertical two-dimensional numerical model is proposed to calculate free-surface flows. This model is based on solving full Navier-Stokes equations by a finite difference method coupled with Chorin’s projection method. An adaptive Eulerian grid in sigma-coordinate system is used. The model allows to calculate surface waves in estuarine and coastal zones. A benchmark test relative to the soliton propagation is realized to validate the model.

76M20 Finite difference methods applied to problems in fluid mechanics
76D33 Waves for incompressible viscous fluids
85A05 Galactic and stellar dynamics
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