An Eulerian finite volume solver for multi-material fluid flows with cylindrical symmetry.Report as inadecuate




An Eulerian finite volume solver for multi-material fluid flows with cylindrical symmetry. - Download this document for free, or read online. Document in PDF available to download.

* Corresponding author 1 CMLA - Centre de Mathématiques et de Leurs Applications 2 LRC MESO - Laboratoire de recheche conventionné MESO 3 DAM-DIF - DAM Île-de-France

Abstract : In this paper, we adapt a pre-existing 2D cartesian cell centered finite volume solver to treat the compressible 3D Euler equations with cylindrical symmetry. We then extend it to multi-material flows. Assuming cylindrical symmetry with respect to the z axis i.e. all the functions do not depend explicitly on the angular variable $\theta$, we obtain a set of five conservation laws with source terms that can be decoupled in two systems solved on a 2D orthogonal mesh in which a cell as a torus geometry. A specific upwinding treatment of the source term is required and implemented for the stationary case. Test cases will be presented for vanishing and non-vanishing azimuthal velocity $u {\theta}$.

Mots-clés : Finite volumes Axisymmetric compressible Euler equations Multi-material flows





Author: Aude Bernard-Champmartin - Jean-Philippe Braeunig - Jean-Michel Ghidaglia -

Source: https://hal.archives-ouvertes.fr/



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