US IOOS coastal and ocean modeling testbed: Inter‐model evaluation of tides, waves, and hurricane surge in the Gulf of Mexico

PC Kerr, AS Donahue, JJ Westerink… - Journal of …, 2013 - Wiley Online Library
A Gulf of Mexico performance evaluation and comparison of coastal circulation and wave
models was executed through harmonic analyses of tidal simulations, hindcasts of …

CFD investigation of vapor transportation in a tubular solar still operating under vacuum

T Yan, G Xie, H Liu, Z Wu, L Sun - International Journal of Heat and Mass …, 2020 - Elsevier
Solar stills are one of the most promising and eco-friendly solutions for providing fresh water
in arid regions. This study used computational fluid dynamics (CFD) modelling to investigate …

A discontinuous Galerkin algorithm for the two-dimensional shallow water equations

G Kesserwani, Q Liang - Computer Methods in Applied Mechanics and …, 2010 - Elsevier
A new high-resolution finite element scheme is introduced for solving the two-dimensional
(2D) depth-integrated shallow water equations (SWE) via local plane approximations to the …

Dynamically adaptive grid based discontinuous Galerkin shallow water model

G Kesserwani, Q Liang - Advances in water resources, 2012 - Elsevier
A Godunov-type numerical model, which is based on the local planar Runge–Kutta
discontinuous Galerkin (RKDG2) solutions to the two dimensional (2D) shallow water …

Discontinuous Galerkin methods with nodal and hybrid modal/nodal triangular, quadrilateral, and polygonal elements for nonlinear shallow water flow

D Wirasaet, EJ Kubatko, CE Michoski, S Tanaka… - Computer methods in …, 2014 - Elsevier
We present a comprehensive assessment of nodal and hybrid modal/nodal discontinuous
Galerkin (DG) finite element solutions on a range of unstructured meshes to nonlinear …

A parallel local timestepping Runge–Kutta discontinuous Galerkin method with applications to coastal ocean modeling

C Dawson, CJ Trahan, EJ Kubatko… - Computer Methods in …, 2013 - Elsevier
Geophysical flows over complex domains often encompass both coarse and highly resolved
regions. Approximating these flows using shock-capturing methods with explicit …

[HTML][HTML] Discontinuous Galerkin formulation for 2D hydrodynamic modelling: Trade-offs between theoretical complexity and practical convenience

G Kesserwani, JL Ayog, D Bau - Computer Methods in Applied Mechanics …, 2018 - Elsevier
In the modelling of hydrodynamics, the Discontinuous Galerkin (DG) approach constitutes a
more complex and modern alternative to the well-established finite volume method. The …

[PDF][PDF] Efficient Runge-Kutta discontinuous Galerkin methods applied to aeroacoustics

T Toulorge - KU Leuven, Departement Werktuigkunde, Leuven, 2012 - lirias.kuleuven.be
The simulation of aeroacoustic problems sets demanding requirements on numerical
methods, particularly in terms of accuracy. Runge-Kutta Discontinuous Galerkin (RKDG) …

[HTML][HTML] Efficient large scale electromagnetic simulations using dynamically adapted meshes with the discontinuous Galerkin method

SM Schnepp, T Weiland - Journal of Computational and Applied …, 2012 - Elsevier
A framework for performing dynamic mesh adaptation with the discontinuous Galerkin
method (DGM) is presented. Adaptations include modifications of the local mesh step size (h …

[HTML][HTML] RKDG2 shallow-water solver on non-uniform grids with local time steps: Application to 1D and 2D hydrodynamics

G Kesserwani, Q Liang - Applied Mathematical Modelling, 2015 - Elsevier
This paper investigates local time stepping (LTS) with the RKDG2 (second-order Runge–
Kutta Discontinuous Galerkin) non-uniform solutions of the inhomogeneous SWEs (shallow …