A reasoned overview on Boussinesq-type models: the interplay between physics, mathematics and numerics

M Brocchini - Proceedings of the Royal Society A …, 2013 - royalsocietypublishing.org
This paper, which is largely the fruit of an invited talk on the topic at the latest International
Conference on Coastal Engineering, describes the state of the art of modelling by means of …

SWASH: An operational public domain code for simulating wave fields and rapidly varied flows in coastal waters

M Zijlema, G Stelling, P Smit - Coastal Engineering, 2011 - Elsevier
A computational procedure has been developed for simulating non-hydrostatic, free-surface,
rotational flows in one and two horizontal dimensions. Its implementation in the publicly …

A high-order adaptive time-step** TVD solver for Boussinesq modeling of breaking waves and coastal inundation

F Shi, JT Kirby, JC Harris, JD Geiman, ST Grilli - Ocean Modelling, 2012 - Elsevier
We present a high-order adaptive time-step** TVD solver for the fully nonlinear
Boussinesq model of Chen (2006), extended to include moving reference level as in …

Shock-capturing non-hydrostatic model for fully dispersive surface wave processes

G Ma, F Shi, JT Kirby - Ocean Modelling, 2012 - Elsevier
This paper describes NHWAVE, a shock-capturing non-hydrostatic model for simulating
wave refraction, diffraction, shoaling, breaking and landslide-generated tsunami in finite …

Numerical resolution of well-balanced shallow water equations with complex source terms

Q Liang, F Marche - Advances in water resources, 2009 - Elsevier
This paper presents a well-balanced numerical scheme for simulating frictional shallow
flows over complex domains involving wetting and drying. The proposed scheme solves, in …

Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations

Y **ng, X Zhang, CW Shu - Advances in Water Resources, 2010 - Elsevier
Shallow water equations with a non-flat bottom topography have been widely used to model
flows in rivers and coastal areas. An important difficulty arising in these simulations is the …

Computational dam-break hydraulics over erodible sediment bed

Z Cao, G Pender, S Wallis, P Carling - Journal of hydraulic …, 2004 - ascelibrary.org
This paper presents one of the first dedicated studies on mobile bed hydraulics of dam-
break flow and the induced sediment transport and morphological evolution. A theoretical …

Adaptive quadtree simulation of shallow flows with wet–dry fronts over complex topography

Q Liang, AGL Borthwick - Computers & Fluids, 2009 - Elsevier
Many natural terrains have complicated surface topography. The simulation of steep-fronted
flows that occur after heavy rainfall flash floods or as inundation from dyke breaches is …

[LIBRO][B] Direct modeling for computational fluid dynamics: construction and application of unified gas-kinetic schemes

K Xu - 2014 - books.google.com
Computational fluid dynamics (CFD) studies the flow motion in a discretized space. Its basic
scale resolved is the mesh size and time step. The CFD algorithm can be constructed …

An efficient and stable hydrodynamic model with novel source term discretization schemes for overland flow and flood simulations

X **a, Q Liang, X Ming, J Hou - Water resources research, 2017 - Wiley Online Library
Numerical models solving the full 2‐D shallow water equations (SWEs) have been
increasingly used to simulate overland flows and better understand the transient flow …