Numerical Integration Of The Contravariant
Form Of The Two Phase Flow Motion Equations
Author(s)
F. Gallerano & G. Cannata
Abstract
Reservoirs (which are created by the artificial barrage of watercourses) gradually
lose the capacity to store water resources owing to the progressive accumulation
of solid particles, which are transported by the watercourses, on the bed. In
conditions characterized by a flood with a high capacity for transporting large
quantities of solid material, turbidity currents could occur; in these situations and
in the presence of a steep bed slope, the turbidity currents can reach the bottom
outlets. In this paper a model for the simulation of the turbidity currents is
proposed; the model is based on the numerical integration of the two phase flow
motion equations. These equations are integrated on a three-dimensional
generalised curvilinear grid and are directly expressed in contravariant
formulation. The numerical procedure adopted is based on a fractional step
method and the proposed numerical scheme is conservative and fourth order
accurate. The numerical model is validated by comparison between the
numerical results and experimental data and is applied to the reservoir of Pieve
di Cadore (Italy), in order to verify the possibility of the production of turbidity
currents and the possibility of using the bottom outlet to discharge downstream
the solid material that reaches the reservoir during flood events.
Keywords: two phase flow, turbidity current, contravariant form, reservoir.
Keywords
two phase flow, turbidity current, contravariant form, reservoir
Related Book
Other papers in this volume
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