Discontinuous Galerkin formulation for 2D hydrodynamic modelling: trade-offs between theoretical complexity and practical convenience (Q1986424)

scientific article; zbMATH DE number 7188353

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English	Discontinuous Galerkin formulation for 2D hydrodynamic modelling: trade-offs between theoretical complexity and practical convenience	scientific article; zbMATH DE number 7188353

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instance of

scholarly article

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title

Discontinuous Galerkin formulation for 2D hydrodynamic modelling: trade-offs between theoretical complexity and practical convenience (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

8 April 2020

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zbMATH Keywords

second-order formulations

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modal discontinuous Galerkin

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quadrilateral elements

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well-balancedness

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wetting and drying

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comparison and verification

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describes a project that uses

HE-E1GODF

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.cma.2018.08.003

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cites work

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms

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High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments

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An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry

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Q5558541

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Q4255380

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Shock-capturing methods for free-surface shallow flows

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Parallel, adaptive finite element methods for conservation laws

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A Parallel High-Order Discontinuous Galerkin Shallow Water Model

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Performance and scalability improvements for discontinuous Galerkin solutions to conservation laws on unstructured grids

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A parallel local timestepping Runge-Kutta discontinuous Galerkin method with applications to coastal Ocean modeling

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A parallel and adaptive hybridized discontinuous Galerkin method for anisotropic nonhomogeneous diffusion

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Nodal discontinuous Galerkin methods on graphics processors

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GPU-accelerated discontinuous Galerkin methods on hybrid meshes

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\(hp\) discontinuous Galerkin methods for the vertical extent of the water column in coastal settings part I: barotropic forcing

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An \(hp\)-adaptive discontinuous Galerkin method for shallow water flows

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A triangular spectral/hp discontinuous Galerkin method for modelling 2D shallow water equations

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Hp discontinuous Galerkin methods for advection dominated problems in shallow water flow

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Dynamic \(p\)-adaptive Runge-Kutta discontinuous Galerkin methods for the shallow water equations

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Multirate time stepping for accelerating explicit discontinuous Galerkin computations with application to geophysical flows

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Local time-stepping in Runge-Kutta discontinuous Galerkin finite element methods applied to the shallow-water equations

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An adaptive discretization of shallow-water equations based on discontinuous Galerkin methods

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Multiwavelet-based grid adaptation with discontinuous Galerkin schemes for shallow water equations

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Multiwavelet discontinuous Galerkin \(h\)-adaptive shallow water model

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

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Compatible algorithms for coupled flow and transport

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An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods

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Numerical comparison of WENO finite volume and Runge--Kutta discontinuous Galerkin methods

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A performance comparison of continuous and discontinuous finite element shallow water models

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Multiwavelet troubled-cell indicator for discontinuity detection of discontinuous Galerkin schemes

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Automated Parameters for Troubled-Cell Indicators Using Outlier Detection

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A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods

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A Comparison of Troubled-Cell Indicators for Runge--Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters

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Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters

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Limiters for high-order discontinuous Galerkin methods

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Adaptive hierarchic transformations for dynamically p-enriched slope-limiting over discontinuous Galerkin systems of generalized equations

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Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.

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A review on TVD schemes and a refined flux-limiter for steady-state calculations

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A comparison of artificial viscosity, limiters, and filters, for high order discontinuous Galerkin solutions in nonlinear settings

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A conservative high-order discontinuous Galerkin method for the shallow water equations with arbitrary topography

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A well-balanced Runge-Kutta discontinuous Galerkin method for the shallow-water equations with flooding and drying

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A fully implicit wetting-drying method for DG-FEM shallow water models, with an application to the scheldt estuary

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Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes

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Zero mass error using unsteady wetting–drying conditions in shallow flows over dry irregular topography

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A performance comparison of nodal discontinuous Galerkin methods on triangles and quadrilaterals

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Approximate Riemann solvers, parameter vectors, and difference schemes

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Well-balancing issues related to the RKDG2 scheme for the shallow water equations

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Locally limited and fully conserved RKDG2 shallow water solutions with wetting and drying

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Some exact solutions to the nonlinear shallow-water wave equations

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Identifiers

zbMATH Open document ID

1440.76074

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Mathematics Subject Classification ID

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10.1016/J.CMA.2018.08.003

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Sitelinks

Mathematics(1 entry)

mardi Publication:1986424