The solution of the dam-break problem in the porous shallow water equations
Abstract The Porous Shallow water Equations are commonly used to evaluate the
propagation of flooding waves in the urban environment. These equations may exhibit not …
propagation of flooding waves in the urban environment. These equations may exhibit not …
Coping with geometric discontinuities in porosity-based shallow water models
The use of classic two-dimensional (2D) shallow water equations (SWE) for flooding
simulation in complex urban environments is computationally expensive, due to the need of …
simulation in complex urban environments is computationally expensive, due to the need of …
Numerical solution of the discontinuous-bottom shallow-water equations with hydrostatic pressure distribution at the step
L Cozzolino, R Della Morte, C Covelli… - Advances in Water …, 2011 - Elsevier
Free-surface flows are usually modelled by means of the Shallow-water Equations: this
system of hyperbolic equations exhibits a source term which is proportional to the product of …
system of hyperbolic equations exhibits a source term which is proportional to the product of …
Efficient analytical implementation of the DOT Riemann solver for the de Saint Venant–Exner morphodynamic model
Within the framework of the de Saint Venant equations coupled with the Exner equation for
morphodynamic evolution, this work presents a new efficient implementation of the Dumbser …
morphodynamic evolution, this work presents a new efficient implementation of the Dumbser …
Extended theory of hydraulic hysteresis in open-channel flow
DP Viero, A Defina - Journal of Hydraulic Engineering, 2017 - ascelibrary.org
The occurrence of hysteresis in a supercritical, open-channel flow approaching an obstacle
has been recognized and investigated both experimentally and theoretically over the last …
has been recognized and investigated both experimentally and theoretically over the last …
Well-balanced bottom discontinuities treatment for high-order shallow water equations WENO scheme
A finite volume well-balanced weighted essentially nonoscillatory (WENO) scheme, fourth-
order accurate in space and time, for the numerical integration of shallow water equations …
order accurate in space and time, for the numerical integration of shallow water equations …
Momentum balance in the shallow water equations on bottom discontinuities
This work investigates the topical problem of balancing the shallow water equations over
bottom steps of different heights. The current approaches in the literature are essentially …
bottom steps of different heights. The current approaches in the literature are essentially …
[HTML][HTML] A comparison between bottom-discontinuity numerical treatments in the DG framework
In this work, using an unified framework consisting in third-order accurate discontinuous
Galerkin schemes, we perform a comparison between five different numerical approaches to …
Galerkin schemes, we perform a comparison between five different numerical approaches to …
Well balancing of the SWE schemes for moving-water steady flows
In this work, the exact reproduction of a moving-water steady flow via the numerical solution
of the one-dimensional shallow water equations is studied. A new scheme based on a …
of the one-dimensional shallow water equations is studied. A new scheme based on a …
Dam break in rectangular channels with different upstream-downstream widths
The classic Stoker dam-break problem (Stoker, 1957) is revisited in cases of different
channel widths upstream and downstream of the dam. The channel is supposed to have a …
channel widths upstream and downstream of the dam. The channel is supposed to have a …