21 citations · 95 across the 7 of their papers we have counts for
7 papers
A well-balanced finite difference WENO scheme for shallow water flow model
Gang Li, Valerio Caleffi, Zhengkun Qi
In this paper, we are concerned with the shallow water flow model over non-flat bottom topography by high-order schemes. Most of the numerical schemes in the literature are develop…
A comparison between bottom-discontinuity numerical treatments in the DG framework
Valerio Caleffi, Alessandro Valiani, Gang Li
In this work, using a unified framework consisting of third-order accurate discontinuous Galerkin schemes, we perform a comparison between five different numerical approaches to th…
Numerical modelling of open channel junctions using the Riemann problem approach
Mohamed Elshobaki, Alessandro Valiani, Valerio Caleffi
The solution of an extended Riemann problem is used to provide the internal boundary conditions at a junction when simulating one-dimensional flow through an open channel network.…
Free surface axially symmetric flows and radial hydraulic jumps
Alessandro Valiani, Valerio Caleffi
Free surface, axially symmetric shallow flow is analysed in both the centrifugal and centripetal directions. Referring to the inviscid steady flow over a flat plate characterised b…
Momentum balance in the shallow water equations on bottom discontinuities
Alessandro Valiani, Valerio Caleffi
This work investigates the topical problem of balancing the shallow water equations over the bottom steps of different heights. The current approaches in the literature are essenti…
Well balancing of the SWE schemes for moving-water steady flows
Valerio Caleffi, Alessandro Valiani
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 mod…