A quadtree-adaptive multigrid solver for the Serre–Green–Naghdi equations

S Popinet - Journal of Computational Physics, 2015 - Elsevier
Abstract The Serre–Green–Naghdi (SGN) equations, also known as the fully-nonlinear
Boussinesq wave equations, accurately describe the behaviour of dispersive shoaling water …

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms

A Duran, F Marche - Computers & Fluids, 2014 - Elsevier
We consider in this work the discontinuous Galerkin discretization of the nonlinear shallow
water equations on unstructured triangulations. In the recent years, several improvements …

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 …

Enhancing occupants' comfort through BIM-based probabilistic approach

H Alavi, N Forcada, R Bortolini, DJ Edwards - Automation in construction, 2021 - Elsevier
Despite the fact that buildings are designed to meet occupants' needs, many do not perform
as planned, impacting upon both building performance and occupants' comfort. Analyzing …

SERGHEI (SERGHEI-SWE) v1. 0: a performance-portable high-performance parallel-computing shallow-water solver for hydrology and environmental hydraulics

D Caviedes-Voullième… - Geoscientific Model …, 2023 - gmd.copernicus.org
The Simulation EnviRonment for Geomorphology, Hydrodynamics, and Ecohydrology in
Integrated form (SERGHEI) is a multi-dimensional, multi-domain, and multi-physics model …

A 2D parallel diffusive wave model for floodplain inundation with variable time step (P-DWave)

J Leandro, AS Chen, A Schumann - Journal of Hydrology, 2014 - Elsevier
Growing advances in remote sensing technologies together with the widespread availability
of Digital terrain models (DTM) have intensified the research into two-dimensional (2D) …

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 fully implicit wetting–drying method for DG-FEM shallow water models, with an application to the Scheldt Estuary

T Kärnä, B De Brye, O Gourgue, J Lambrechts… - Computer Methods in …, 2011 - Elsevier
Resolving the shoreline undulation due to tidal excursion is a crucial part of modelling water
flow in estuaries and coastal areas. Nevertheless, maintaining positive water column depth …

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 …