TITLE:
A Well-Balanced Numerical Model for the Simulation of Long Waves over Complex Domains
AUTHORS:
Gangfeng Wu, Zhiguo He, Guohua Liu
KEYWORDS:
Long Wave, Central Upwind Scheme, Well-Balanced, Wetting and Drying
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.6,
May
19,
2014
ABSTRACT: This paper presents a well-balanced
two-dimensional (2D) finite volume model to simulate the propagation, runup and
rundown of long wave. Non-staggered grid is adopted to discretize the governing
equation and the intercell flux is computed using a central upwind scheme,
which is a Riemann-problem-solver-free method for hyperbolic conservation laws.
The nonnegative reconstruction method for water depth is implemented in the
present model to treat the appearance of wet/dry fronts, and the friction term
is solved by a semi-implicit scheme to ensure the stability of the model. The
Euler method is applied to update flow variable to the new time level. The
model is verified against two experimental cases and good agreements are
observed between numerical results and observed data.