An automatically well-balanced formulation of pressure forcing for discontinuous Galerkin methods for the shallow water equations

DOI10.1016/j.jcp.2022.111102OpenAlexW4214812114MaRDI QIDQ2139028

Robert L. Higdon

Publication date: 17 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111102

zbMATH Keywords

shallow water equationsdiscontinuous Galerkinwell-balancedmulti-layer ocean models

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Geophysics (86Axx)

Related Items (1)

A geometrically intrinsic Lagrangian-Eulerian scheme for 2D shallow water equations with variable topography and discontinuous data

Uses Software

• GEOCLAW

Cites Work

• Multiple time scales and pressure forcing in discontinuous Galerkin approximations to layered ocean models
• Pressure forcing and dispersion analysis for discontinuous Galerkin approximations to oceanic fluid flows
• Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction
• High order sign-preserving and well-balanced exponential Runge-Kutta discontinuous Galerkin methods for the shallow water equations with friction
• A well-balanced and positivity-preserving numerical model for shallow water flows in channels with wet-dry fronts
• Discontinuous Galerkin methods for multi-layer ocean modeling: viscosity and thin layers
• Tsunami modelling with adaptively refined finite volume methods
• Numerical modelling of ocean circulation
• Finite Volume Methods for Hyperbolic Problems
• Atmospheric and Oceanic Fluid Dynamics

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