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

Abstract

AbstractIn 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.KeywordsWall BoundaryFluid Flow ModelDiscrete MomentumFinite Volume ApproachSmooth DuctThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.