A Hamiltonian vorticity-dilatation formulation of the compressible Euler equations

DOI10.1016/j.na.2014.07.005zbMath1314.35094OpenAlexW2126247983MaRDI QIDQ399098

Mónika Polner, J. J. W. van der Vegt

Publication date: 19 August 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.07.005

zbMATH Keywords

vorticitydilatationHodge decompositionde Rham complexcompressible Euler equationsHamiltonian formulationStokes-Dirac structure

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Euler equations (35Q31)

Related Items (5)

Weak form of Stokes-Dirac structures and geometric discretization of port-Hamiltonian systems ⋮ Port-Hamiltonian formulations of the incompressible Euler equations with a free surface ⋮ Port-Hamiltonian Modeling of District Heating Networks ⋮ Port-Hamiltonian modeling of ideal fluid flow. I: Foundations and kinetic energy ⋮ A structured control model for the thermo-magneto-hydrodynamics of plasmas in tokamaks

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• Finite element exterior calculus, homological techniques, and applications
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• Electromagnetic Theory and Computation

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