Abstract
Following previous work on the canonical decomposition of the subsonic, compressible Euler equations into their steady hyperbolic and elliptic components, a similar decomposition for the incompressible equations is proposed. The artificial compressibility approach is used make the incompressible Euler equations hyperbolic in time. The canonical form of this pseudo-compressible system consists in an hyperbolic component corresponding to the convection of total pressure along the streamlines and a Cauchy-Riemann system corresponding to the omni-directional propagation of the (artificial) acoustic waves.
The discretization of the pseudo-unsteady system is accomplished using Fluctuation Splitting schemes and unstructured meshes.
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© 2001 Springer Science+Business Media New York
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Bonfiglioli, A. (2001). Hyperbolic-Elliptic Splitting for the Pseudo-Compressible Euler Equations. In: Toro, E.F. (eds) Godunov Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-0663-8_13
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DOI: https://doi.org/10.1007/978-1-4615-0663-8_13
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