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Chapitre D'ouvrage Année : 2014

A Simple Finite Volume Approach to Compute Flows in Variable Cross-Section Ducts

Bruno Audebert
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Ouardia Touazi
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Résumé

In order to derive a simple one-dimensional approach that could handle fluid flows in smooth ducts as well as in ducts of discontinuous cross-section, we propose herein a Finite Volume approach that relies on an integral formulation of the multidimensional flow model. While focusing on Euler equations, we compare two-dimensional results with approximations obtained using the present approach, and also with the classical formulation for variable cross-sections using a well-balanced scheme. Numerical simulations confirm the ability of this integral method to provide approximations that compare well with 2D results. This method also enables to deal with all-even including vanishing-cross-section ducts. This approach may also be applied when considering other single-phase or multi-phase fluid flow models.
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Dates et versions

hal-01580181 , version 1 (24-04-2024)

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Bruno Audebert, Jean-Marc Hérard, Xavier Martin, Ouardia Touazi. A Simple Finite Volume Approach to Compute Flows in Variable Cross-Section Ducts. Jurgen Fuhrmann - Mario Ohlberger - Christian Rohde. Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems, 78, pp.769-777, 2014, Springer Proceedings in Mathematics and Statistics, ⟨10.1007/978-3-319-05591-6_77⟩. ⟨hal-01580181⟩
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