The Vortex Method with Finite Elements

DOI10.2307/2007730zbMath0488.65049OpenAlexW4235895950MaRDI QIDQ3949909

Claude Bardos, Olivier Pironneau, Michel Bercovier

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2007730

zbMATH Keywords

convergencenumerical resultsfinite element methodtransport equationtest problemsvortex methodEuler vorticity equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Vortex flows for incompressible inviscid fluids (76B47) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Initial-boundary value problems for first-order hyperbolic systems (35L50) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

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• Simulation of three-dimensional incompressible flows with a vortex-in- cell method
• The cloud in cell technique applied to the roll up of vortex sheets
• On classical solutions of the two-dimensional non-stationary Euler equation
• Existence et unicité de la solution de l'équation d'Euler en dimension deux
• Convergence of Vortex Methods for Euler’s Equations. II