Hivel2D users manual
2 HIVEL2D Overview
HIVEL2D (Stockstill and Berger 1994) is designed to simulate flow typical in high-
velocity channels. The model is a finite element description of the two-dimensional
shallow-water equations in conservative form. The model does not include Coriolis or
wind effects as these are typically not important in high-velocity channels.
Governing Equations
Vertical integration of the equations of mass and momentum conservation for
incompressible flow with the assumption that vertical accelerations are negligible
compared to the acceleration of gravity results in the governing equations commonly
referred to as the shallow-water equations. The dependent variables of the two-
dimensional fluid motion are defined by the flow depth, h, the volumetric discharge per
unit width in the x-direction, p, and the volumetric discharge per unit width in the y-
direction, q. These variables are functions of the independent variables x and y, the two
space directions, and time t. The shallow-water equations in conservative form are given
as (Abbott 1979):
Q
Fy
Fx
+
+
+H= 0
(1)
t
x
y
where
h
Q= p
(2)
q
2
Chapter 2 HIVEL 2D overview
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