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Poster De Conférence Année : 2016

High-order accurate Lagrange-remap hydrodynamic schemes on staggered Cartesian grids

Résumé

We consider a class of staggered grid schemes for solving the 1D Euler equations in internal energy formulation. The proposed schemes are applicable to arbitrary equations of state and high-order accurate in both space and time on smooth flows. Adding a discretization of the kinetic energy equation, a high-order kinetic energy synchronization procedure is introduced, preserving globally total energy and enabling proper shock capturing. Extension to 2D Cartesian grids is done via C-type staggering and high-order dimensional splitting. Numerical results are provided up to 8th order accuracy.
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Dates et versions

hal-01280732 , version 1 (02-03-2016)

Identifiants

  • HAL Id : hal-01280732 , version 1

Citer

Gautier Dakin, Bruno Desprès, Stéphane Jaouen, Hervé Jourdren. High-order accurate Lagrange-remap hydrodynamic schemes on staggered Cartesian grids. CEA GAMNI, Jan 2016, Paris, France. , 2016. ⟨hal-01280732⟩
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