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

Grid-Based Hydrodynamics in Astrophysical Fluid Flows

(2015) Romain Teyssier   Annual Review of Astronomy and Astrophysics

Shallow water simulation of overland flows in idealised catchments

(2015) Dongfang Liang et al.   Environmental Earth Sciences

Dynamically adaptive tree grid modeling for simulation and visualization of rainwater overland flow

(2015) Anurak Busaman et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

A robust and well-balanced scheme for the 2D Saint-Venant system on unstructured meshes with friction source term

(2015) A. Duran   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Well-balanced positivity preserving central-upwind scheme for the shallow water system with friction terms

(2015) A. Chertock et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Overland Flow Modeling with the Shallow Water Equations Using a Well-Balanced Numerical Scheme: Better Predictions or Just More Complexity

(2015) M. Rousseau et al.   JOURNAL OF HYDROLOGIC ENGINEERING

Numerical Modeling of Rainfall-Generated Overland Flow Using Nonlinear Shallow-Water Equations

(2015) Jaswant Singh et al.   JOURNAL OF HYDROLOGIC ENGINEERING

Impact of errors in the downwelling irradiances on simulations of snow water equivalent, snow surface temperature, and the snow energy balance

(2015) Karl E. Lapo et al.   WATER RESOURCES RESEARCH

An improved hydrostatic reconstruction method for shallow water model

(2014) Jingming Hou et al.   JOURNAL OF HYDRAULIC RESEARCH

A model for overland flow and associated processes within the Hydroinformatics Modelling System

(2014) Franz Simons et al.   JOURNAL OF HYDROINFORMATICS

Reliability of first order numerical schemes for solving shallow water system over abrupt topography

(2013) T. Morales de Luna et al.   APPLIED MATHEMATICS AND COMPUTATION

A stable 2D unstructured shallow flow model for simulations of wetting and drying over rough terrains

(2013) Jingming Hou et al.   COMPUTERS & FLUIDS

A 2D well-balanced shallow flow model for unstructured grids with novel slope source term treatment

(2012) Jingming Hou et al.   ADVANCES IN WATER RESOURCES

A limitation of the hydrostatic reconstruction technique for Shallow Water equations

(2012) Olivier Delestre et al.   COMPTES RENDUS MATHEMATIQUE

A storm event watershed model for surface runoff based on 2D fully dynamic wave equations

(2012) Pierfranco Costabile et al.   HYDROLOGICAL PROCESSES

On the well-balanced numerical discretization of shallow water equations on unstructured meshes

(2012) A. Duran et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Influence of mesh structure on 2D full shallow water equations and SCS Curve Number simulation of rainfall/runoff events

(2012) Daniel Caviedes-Voullième et al.   JOURNAL OF HYDROLOGY

A robust well-balanced finite volume model for shallow water flows with wetting and drying over irregular terrain

(2011) Lixiang Song et al.   ADVANCES IN WATER RESOURCES

The GeoClaw software for depth-averaged flows with adaptive refinement

(2011) Marsha J. Berger et al.   ADVANCES IN WATER RESOURCES

A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime

(2011) Philippe G. LeFloch et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A 2D shallow flow model for practical dam-break simulations

(2011) Yueling Wang et al.   JOURNAL OF HYDRAULIC RESEARCH

Comparative analysis of overland flow models using finite volume schemes

(2011) P. Costabile et al.   JOURNAL OF HYDROINFORMATICS

A conservative high-order discontinuous Galerkin method for the shallow water equations with arbitrary topography

(2010) Georges Kesserwani et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

An unstructured finite volume model for dam-break floods with wet/dry fronts over complex topography

(2010) Lixiang Song et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Weak solutions for partial differential equations with source terms: Application to the shallow water equations

(2010) J. Murillo et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Flood Simulation Using a Well-Balanced Shallow Flow Model

(2010) Qiuhua Liang   JOURNAL OF HYDRAULIC ENGINEERING

A simple inertial formulation of the shallow water equations for efficient two-dimensional flood inundation modelling

(2010) Paul D. Bates et al.   JOURNAL OF HYDROLOGY

A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows

(2010) François Bouchut et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

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

(2009) Qiuhua Liang et al.   ADVANCES IN WATER RESOURCES

Unstructured finite volume discretization of two-dimensional depth-averaged shallow water equations with porosity

(2009) L. Cea et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Experimental validation of two-dimensional depth-averaged models for forecasting rainfall–runoff from precipitation data in urban areas

(2009) L. Cea et al.   JOURNAL OF HYDROLOGY

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

(2008) Qiuhua Liang et al.   COMPUTERS & FLUIDS

Integral formulation of shallow-water equations with anisotropic porosity for urban flood modeling

(2008) Brett F. Sanders et al.   JOURNAL OF HYDROLOGY

Friction term discretization and limitation to preserve stability and conservation in the 1D shallow-water model: Application to unsteady irrigation and river flow

(2007) J. Burguete et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Augmented Riemann solvers for the shallow water equations over variable topography with steady states and inundation

(2007) David L. George   JOURNAL OF COMPUTATIONAL PHYSICS