GAIA-a unified framework for sediment transport and bed evolution in rivers, coastal seas and transitional waters in the TELEMAC-MASCARET modelling system

P Tassi, T Benson, M Delinares, J Fontaine… - … Modelling & Software, 2023 - Elsevier
In rivers, coastal seas and transitional waters, sediment transport processes involve a variety
of interacting factors that dynamically vary over time and space. The flow dynamics within …

Numerical simulation of water resources problems: Models, methods, and trends

CT Miller, CN Dawson, MW Farthing, TY Hou… - Advances in Water …, 2013 - Elsevier
Mechanistic modeling of water resources systems is a broad field with abundant challenges.
We consider classes of model formulations that are considered routine, the focus of current …

Optimal strong-stability-preserving Runge–Kutta time discretizations for discontinuous Galerkin methods

EJ Kubatko, BA Yeager, DI Ketcheson - Journal of Scientific Computing, 2014 - Springer
Discontinuous Galerkin (DG) spatial discretizations are often used in a method-of-lines
approach with explicit strong-stability-preserving (SSP) Runge–Kutta (RK) time steppers for …

Fully coupled morphological modelling under the combined action of waves and currents

W Li, Y Zhang, P Hu - Advances in Water Resources, 2024 - Elsevier
The non-linear interactions of tides, waves and sediment transport in shallow coastal waters
require coupled modelling of waves and currents, as well as the consideration of feedbacks …

State estimation of tidal hydrodynamics using ensemble Kalman filter

H Tamura, P Bacopoulos, D Wang, SC Hagen… - Advances in water …, 2014 - Elsevier
This paper presents a coupling of an ensemble Kalman filter (EnKF) with a discontinuous
Galerkin-based, two-dimensional circulation model (DG ADCIRC-2DDI) to improve the state …

Free surface flows over partially erodible beds by a continuous finite element method

P Ortiz, J Anguita, M Riveiro - Environmental Earth Sciences, 2015 - Springer
This paper presents a continuous finite element model for shallow water equations coupled
with a bedload sediment conservation law. The model incorporates a sign-preserving …

Fully coupled discontinuous Galerkin modeling of dam-break flows over movable bed with sediment transport

G Kesserwani, A Shamkhalchian… - Journal of Hydraulic …, 2014 - ascelibrary.org
Abstract A one-dimensional (1D) discontinuous Galerkin morphodynamic model has been
devised with application to simulate of dam-break flows over erodible beds with suspended …

Strong stability preserving explicit peer methods for discontinuous Galerkin discretizations

M Klinge, R Weiner - Journal of Scientific Computing, 2018 - Springer
In this paper we study explicit peer methods with the strong stability preserving (SSP)
property for the numerical solution of hyperbolic conservation laws in one space dimension …

A multidimensional discontinuous Galerkin modeling framework for overland flow and channel routing

DW West, EJ Kubatko, CJ Conroy, M Yaufman… - Advances in Water …, 2017 - Elsevier
In this paper, we present the development and application of a new multidimensional,
unstructured-mesh model for simulating coupled overland/open-channel flows in the …

A coupled morphodynamic model for applications involving wetting and drying

Q Liang - Journal of Hydrodynamics, 2011 - Springer
This work presents a new finite volume Godunov-type model for predicting morphological
changes under the rapidly varying flood conditions with wetting and drying. The model …