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A Basin to Channel-Scale Unstructured Grid Hurricane Storm Surge Model Applied to Southern Louisiana
Abstract Southern Louisiana is characterized by low-lying topography and an extensive network of sounds, bays, marshes, lakes, rivers, and inlets that permit widespread inundation during hurricanes.Expand
A wetting and drying treatment for the Runge-Kutta discontinuous Galerkin solution to the shallow water equations
This paper proposes a wetting and drying treatment for the piecewise linear Runge–Kutta discontinuous Galerkin approximation to the shallow water equations. The method takes a fixed mesh approach asExpand
hp Discontinuous Galerkin methods for advection dominated problems in shallow water flow
In this paper, we discuss the development, verification, and application of an hp discontinuous Galerkin (DG) finite element model for solving the shallow water equations (SWE) on unstructuredExpand
An unstructured grid morphodynamic model with a discontinuous Galerkin method for bed evolution
A new unstructured grid two-dimensional, depth-integrated (2DDI), morphodynamic model is presented for the prediction of morphological evolutions in shallow water. This modelling system consists ofExpand
ADMESH: An advanced, automatic unstructured mesh generator for shallow water models
In this paper, we present the development and application of a two-dimensional, automatic unstructured mesh generator for shallow water models called Admesh. Starting with only target minimum andExpand
Discontinuous Galerkin Methods for Modeling Hurricane Storm Surge
Abstract 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 modeling ofExpand
Dynamic p-adaptive Runge–Kutta discontinuous Galerkin methods for the shallow water equations
In this paper, dynamic p-adaptive Runge–Kutta discontinuous Galerkin (RKDG) methods for the two-dimensional shallow water equations (SWE) are investigated. The p-adaptive algorithm that isExpand
Optimal Strong-Stability-Preserving Runge–Kutta Time Discretizations for Discontinuous Galerkin Methods
These new “DG-optimized” SSPRK methods with stability regions that have been specifically designed to maximize the stable time step size for RKDG methods of a given order in one space dimension are presented. Expand
A Performance Comparison of Continuous and Discontinuous Finite Element Shallow Water Models
In a series of numerical tests, it is demonstrated that the DG SWE model is generally more efficient than the CG model in terms of achieving a specified error level for a given computational cost and on large-scale parallel machines because of the inherently local structure of the method. Expand
Discontinuous Galerkin Methods with Nodal and Hybrid Modal/Nodal Triangular, Quadrilateral, and Polygonal Elements for Nonlinear Shallow Water Flow
Abstract 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 shallow water flowExpand