A conservative model for unsteady flows in deformable closed pipes and its implicit second-order finite volume discretisation

DOI10.1016/j.compfluid.2007.09.007zbMath1237.76081OpenAlexW2110753029MaRDI QIDQ416630

Stéphane Gerbi, Christian Bourdarias

Publication date: 10 May 2012

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2007.09.007

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15)

Related Items

A finite-volume approach for compressible single- and two-phase flows in flexible pipelines with fluid-structure interaction ⋮ A model for unsteady mixed flows in non uniform closed water pipes and a well-balanced finite volume scheme ⋮ A mathematical model for unsteady mixed flows in closed water pipes ⋮ Unsteady mixed flows in non uniform closed water pipes: a full kinetic approach ⋮ A kinetic formulation for a model coupling free surface and pressurised flows in closed pipes ⋮ A finite volume scheme for a model coupling free surface and pressurised flows in pipes ⋮ New Godunov-type method for simulation of weakly compressible pipeline flows with allowance for elastic deformation of the walls ⋮ A kinetic scheme for unsteady pressurised flows in closed water pipes ⋮ Unsteady flows in deformable pipes: the energy conservation law

Cites Work

• Some approximate Godunov schemes to compute shallow-water equations with topography.
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• A finite volume scheme for a model coupling free surface and pressurised flows in pipes
• Convergence d'un schéma à profils stationnaires pour les équations quasi linéaires du premier ordre avec termes sources
• A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
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