A (dis)continuous finite element model for generalized 2D vorticity dynamics

DOI10.1016/j.jcp.2005.06.008zbMath1138.76380OpenAlexW1997329141WikidataQ61835683 ScholiaQ61835683MaRDI QIDQ2572228

J. J. W. van der Vegt, Erik Bernsen, Onno Bokhove

Publication date: 16 November 2005

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

Full work available at URL: https://research.utwente.nl/en/publications/a-discontinuous-finite-element-model-for-generalized-2d-vorticity-dynamics(40092e26-f661-414f-ac00-857d0da7674e).html

zbMATH Keywords

Error estimatesDiscontinuous Galerkin finite elementsEnergy conservation and enstrophy stabilityGeneralized vorticity streamfunction formulationMultiple connected and curved domains

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Incompressible inviscid fluids (76B99)

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Cites Work

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• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• A high-order discontinuous Galerkin method for 2D incompressible flows
• Real Interpolation of Sobolev Spaces on Subdomains of Rn
• A Local Regularization Operator for Triangular and Quadrilateral Finite Elements
• A Local Discontinuous Galerkin Method for KdV Type Equations
• On finite amplitude oscillations in laminar mixing layers

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