Air entrainment in transient flows in closed water pipes : A two-layer approach

DOI10.1051/m2an/2012036zbMath1267.76009arXiv0910.0334OpenAlexW2074853743MaRDI QIDQ2839162

Mehmet Ersoy, Stéphane Gerbi, Christian Bourdarias

Publication date: 4 July 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.0334

zbMATH Keywords

loss of hyperbolicitynonconservative productfree surface water flowsreal boundary conditionstwo-layer kinetic schemetwo-layer vertically averaged flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Gas dynamics (general theory) (76N15) First-order nonlinear hyperbolic equations (35L60) Finite volume methods applied to problems in solid mechanics (74S10) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (4)

A compressible two-layer model for transient gas-liquid flows in pipes ⋮ Congested Shallow Water Model: Trapped Air Pockets Modeling ⋮ Unsteady mixed flows in non uniform closed water pipes: a full kinetic approach ⋮ Dimension reduction for compressible pipe flows including friction

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