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A limiter-based well-balanced discontinuous Galerkin method for shallow-water flows with wetting and drying: One-dimensional case
Abstract An important part in the numerical simulation of tsunami and storm surge events is the accurate modeling of flooding and the appearance of dry areas when the water recedes. This paperExpand
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Stability of a Cartesian grid projection method for zero Froude number shallow water flows
In this paper a Godunov-type projection method for computing approximate solutions of the zero Froude number (incompressible) shallow water equations is presented. It is second-order accurate andExpand
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An Experimental and Numerical Study of Long Wave Run-Up on a Plane Beach
This research is to facilitate the current understanding of long wave dynamics at coasts and during on-land propagation; experimental and numerical approaches are compared against existing analyticalExpand
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Preservation of the Discrete Geostrophic Equilibrium in Shallow Water Flows
We are interested in the numerical simulation of large scale phenomena in geophysical flows. In these cases, Coriolis forces play an important role and the circulations are often perturbations of theExpand
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Depth-averaged Extension for Shallow Water Equations with Quadratic Vertical Pressure Profile: Equivalence to Boussinesq-type Equations
Summary We reformulate the depth-averaged extension for shallow water equations to show equivalence with well-known equations. For this purpose, we introduce two s representing the vertical profileExpand
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A scale-selective multilevel method for long-wave linear acoustics
A new method for the numerical integration of the equations for one-dimensional linear acoustics with large time steps is presented. While it is capable of computing the “slaved” dynamics ofExpand
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An aesthetic education in the era of globalization. Gayatri Chakravorty Spivak [Rezension]
Magazin Erwachsenenbildung.at (2014) 22, 4 S. Padagogische Teildisziplin: Erwachsenenbildung / Weiterbildung; als elektronischer Volltext verfugbar
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A New Projection Method for the Zero Froude Number Shallow Water Equations
For non-zero Froude numbers the shallow water equations are a hyperbolic system of partial differential equations. In the zero Froude number limit, they are of mixed hyperbolic-elliptic type, andExpand
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Well-Balanced Inundation Modeling for Shallow-Water Flows with Discontinuous Galerkin Schemes
Modeling coastal inundation for tsunami and storm surge hazard mitigation is an important application of geoscientific numerical modeling. While the complex topography demands for robust and locallyExpand
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A limiter-based well-balanced discontinuous Galerkin method for shallow-water flows with wetting and drying: Triangular grids
A novel wetting and drying treatment for second-order Runge-Kutta discontinuous Galerkin (RKDG2) methods solving the non-linear shallow water equations is proposed. It is developed for generalExpand
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