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 …

[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 …

[HTML][HTML] Directly irradiated liquid metal film in an ultra-high temperature solar cavity receiver. Part 2: Coupled CFD and radiation analysis

TI Abdelsalam, Z Tian, A Robinson - Solar Energy, 2023 - Elsevier
A novel solar cavity receiver was proposed in Part 1 to facilitate operation at ultra-high
temperatures (> 1300 K). The concept featured enclosing a directly irradiated liquid metal …

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 …

Numerical treatment of wave breaking on unstructured finite volume approximations for extended Boussinesq-type equations

M Kazolea, AI Delis, CE Synolakis - Journal of computational Physics, 2014 - Elsevier
A new methodology is presented to handle wave breaking over complex bathymetries in
extended two-dimensional Boussinesq-type (BT) models which are solved by an …

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

J Hou, Q Liang, F Simons, R Hinkelmann - Computers & Fluids, 2013 - Elsevier
This paper proposes a 2D unstructured finite volume Godunov-type shallow water model to
simulate complex flows involving wet–dry interfaces over irregular terrains. In this model, the …

Study of 3D sloshing in a vertical cylindrical tank

PA Caron, MA Cruchaga, AE Larreteguy - Physics of Fluids, 2018 - pubs.aip.org
Moving liquid-gas interfaces appear frequently in both natural processes and engineering
applications. In the case of partially filled tanks, for instance, the accurate description of the …

[HTML][HTML] A fast second-order shallow water scheme on two-dimensional structured grids over abrupt topography

A Buttinger-Kreuzhuber, Z Horváth, S Noelle… - Advances in water …, 2019 - Elsevier
This paper presents a finite volume scheme on structured grids to simulate shallow flows
over complex terrain. The situation of shallow downhill flow over a step is particularly …

Second-order discontinuous Galerkin flood model: Comparison with industry-standard finite volume models

JL Ayog, G Kesserwani, J Shaw, MK Sharifian… - Journal of Hydrology, 2021 - Elsevier
Finite volume (FV) numerical solvers of the two-dimensional shallow water equations are
core to industry-standard flood models. The second-order Discontinuous Galerkin (DG2) …

A comprehensive explanation and exercise of the source terms in hyperbolic systems using Roe type solutions. Application to the 1D-2D shallow water equations

J Murillo, A Navas-Montilla - Advances in Water Resources, 2016 - Elsevier
Powerful numerical methods have to consider the presence of source terms of different
nature, that intensely compete among them and may lead to strong spatiotemporal …