A 2D weakly-coupled and efficient numerical model for transient shallow flow and movable bed

C Juez, J Murillo, P García-Navarro - Advances in Water Resources, 2014 - Elsevier
Recent advances in the simulation of free surface flows over mobile bed have shown that
accurate and stable results in realistic problems can be provided if an appropriate coupling …

A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems

M Dumbser, EF Toro - Journal of Scientific Computing, 2011 - Springer
We propose a simple extension of the well-known Riemann solver of Osher and Solomon
(Math. Comput. 38: 339–374, 1982) to a certain class of hyperbolic systems in non …

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

J Hou, Q Liang, F Simons, R Hinkelmann - Advances in Water Resources, 2013 - Elsevier
Within the framework of the Godunov-type cell-centered finite volume (CCFV) scheme, this
paper proposes a 2D well-balanced shallow water model for unstructured grids. In this …

Estimating ground elevation and vegetation characteristics in coastal salt marshes using UAV-based LiDAR and digital aerial photogrammetry

D Pinton, A Canestrelli, B Wilkinson, P Ifju, A Ortega - Remote Sensing, 2021 - mdpi.com
This study evaluates the skills of two types of drone-based point clouds, derived from LiDAR
and photogrammetric techniques, in estimating ground elevation, vegetation height, and …

On universal Osher-type schemes for general nonlinear hyperbolic conservation laws

M Dumbser, EF Toro - Communications in Computational Physics, 2011 - cambridge.org
This paper is concerned with a new version of the Osher-Solomon Riemann solver and is
based on a numerical integration of the path-dependent dissipation matrix. The resulting …

[HTML][HTML] An efficient unstructured MUSCL scheme for solving the 2D shallow water equations

J Hou, Q Liang, H Zhang, R Hinkelmann - Environmental Modelling & …, 2015 - Elsevier
The aim of this paper is to present a novel monotone upstream scheme for conservation law
(MUSCL) on unstructured grids. The novel edge-based MUSCL scheme is devised to …

A robust well-balanced model on unstructured grids for shallow water flows with wetting and drying over complex topography

J Hou, F Simons, M Mahgoub, R Hinkelmann - Computer methods in …, 2013 - Elsevier
To simulate complex flows involving wet-dry fronts in irregular terrains over arbitrary beds,
this paper presents a 2D well-balanced shallow water flow model, based on an unstructured …

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

L Song, J Zhou, J Guo, Q Zou, Y Liu - Advances in Water Resources, 2011 - Elsevier
An unstructured Godunov-type finite volume model is developed for the numerical
simulation of geometrically challenging two-dimensional shallow water flows with wetting …

The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations

M Dehghan, M Abbaszadeh - Journal of Computational Physics, 2017 - Elsevier
The main aim of this paper is to develop a fast and efficient local meshless method for
solving shallow water equations in one-and two-dimensional cases. The mentioned …

[HTML][HTML] Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws

I Gómez-Bueno, S Boscarino, MJ Castro… - Applied Numerical …, 2023 - Elsevier
The aim of this work is to design implicit and semi-implicit high-order well-balanced finite-
volume numerical methods for 1D systems of balance laws. The strategy introduced by two …