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 …
water equations on unstructured triangulations. In the recent years, several improvements …
Numerical simulation of water resources problems: Models, methods, and trends
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 …
We consider classes of model formulations that are considered routine, the focus of current …
Analysis of adaptive mesh refinement for IMEX discontinuous Galerkin solutions of the compressible Euler equations with application to atmospheric simulations
MA Kopera, FX Giraldo - Journal of Computational Physics, 2014 - Elsevier
The resolutions of interests in atmospheric simulations require prohibitively large
computational resources. Adaptive mesh refinement (AMR) tries to mitigate this problem by …
computational resources. Adaptive mesh refinement (AMR) tries to mitigate this problem by …
A high-performance integrated hydrodynamic modelling system for urban flood simulations
A new High-Performance Integrated hydrodynamic Modelling System (Hi-PIMS) is tested for
urban flood simulation. The software solves the two-dimensional shallow water equations …
urban flood simulation. The software solves the two-dimensional shallow water equations …
Discontinuous Galerkin methods for modeling hurricane storm surge
Storm surge due to hurricanes and tropical storms can result in significant loss of life,
property damage, and long-term damage to coastal ecosystems and landscapes. Computer …
property damage, and long-term damage to coastal ecosystems and landscapes. Computer …
Scalability of an unstructured grid continuous Galerkin based hurricane storm surge model
This paper evaluates the parallel performance and scalability of an unstructured grid
Shallow Water Equation (SWE) hurricane storm surge model. We use the ADCIRC model …
Shallow Water Equation (SWE) hurricane storm surge model. We use the ADCIRC model …
Optimal strong-stability-preserving Runge–Kutta time discretizations for discontinuous Galerkin methods
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 …
approach with explicit strong-stability-preserving (SSP) Runge–Kutta (RK) time steppers for …
[HTML][HTML] A dynamic hp-adaptive discontinuous Galerkin method for shallow-water flows on the sphere with application to a global tsunami simulation
A Dynamic hp-Adaptive Discontinuous Galerkin Method for Shallow-Water Flows on the Sphere
with Application to a Global Tsunami Simulation in: Monthly Weather Review Volume 140 Issue 3 …
with Application to a Global Tsunami Simulation in: Monthly Weather Review Volume 140 Issue 3 …
Locally limited and fully conserved RKDG2 shallow water solutions with wetting and drying
G Kesserwani, Q Liang - Journal of scientific computing, 2012 - Springer
This work extends a well-balanced second-order Runge-Kutta discontinuous Galerkin
(RKDG2) scheme to provide conservative simulations for shallow flows involving wetting …
(RKDG2) scheme to provide conservative simulations for shallow flows involving wetting …
p-adaptive discontinuous Galerkin method for the shallow water equations with a parameter-free error indicator
S Faghih-Naini, V Aizinger - GEM-International Journal on …, 2022 - Springer
We propose a p-adaptive quadrature-free discontinuous Galerkin method for the shallow
water equations based on a computationally efficient adaptivity indicator which works …
water equations based on a computationally efficient adaptivity indicator which works …