V. Casulli et Gs. Stelling, NUMERICAL-SIMULATION OF 3D QUASI-HYDROSTATIC, FREE-SURFACE FLOWS, Journal of hydraulic engineering, 124(7), 1998, pp. 678-686
Citations number
24
Categorie Soggetti
Water Resources","Engineering, Civil","Engineering, Mechanical
Numerical models that assume hydrostatic pressure are usually sufficie
ntly accurate for applications in civil engineering where the vertical
component of the velocity is relatively small. Nevertheless, the vert
ical momentum, and, hence, the nonhydrostatic pressure component, cann
ot be neglected when the bottom topography of the domain changes abrup
tly as in cases of short waves, or when the flow is determined by stro
ng density gradients. In this paper a numerical method for the three-d
imensional (3D) quasi-hydrostatic, free-surface flows is outlined. The
governing equations are the Reynolds-averaged Navier-Stokes equations
with the pressure decomposed into the sum of a hydrostatic component
and a hydrodynamic component. The momentum equations, the incompressib
ility condition, and the equation for the free surface are integrated
by a time-splitting method in such a fashion that the resulting numeri
cal solution is mass conservative and stable at a minimal computationa
l cost. Several applications serve to illustrate the effect of the dev
iation from the hydrostatic pressure.