Asymptotic derivation of the section-averaged shallow water equations for natural river hydraulics

A Decoene, L Bonaventura, E Miglio… - Mathematical Models and …, 2009 - World Scientific
The section-averaged shallow water model usually applied in river and open channel
hydraulics is derived by an asymptotic analysis that accounts for terms up to second order in
the vertical/longitudinal length ratio, starting from the three-dimensional Reynolds-averaged
Navier–Stokes equations for incompressible free surface flows. The derivation is carried out
under quite general assumptions on the geometry of the channel, thus allowing for the
application of the resulting equations to natural rivers with arbitrarily shaped cross sections …

[PDF][PDF] Asymptotic derivation of the section-averaged shallow water equations for natural river hydraulics.

L Bonaventura, A Decoene, F Saleri - hal.science
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