A model for unsteady mixed flows in non uniform closed water pipes and a well-balanced finite volume scheme
zbMath1490.76143arXiv0812.0057MaRDI QIDQ5863812
Mehmet Ersoy, Stéphane Gerbi, Christian Bourdarias
Publication date: 3 June 2022
Full work available at URL: https://arxiv.org/abs/0812.0057
asymptotic analysisshallow waterfree surface flowscurvilinear transformationpressurized flowswell-balanced finite volume schemeVFRoe schemehyperbolic system with source termsmixed flows
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Free-surface potential flows for incompressible inviscid fluids (76B07) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
- Unnamed Item
- Unnamed Item
- A conservative model for unsteady flows in deformable closed pipes and its implicit second-order finite volume discretisation
- Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects
- A kinetic formulation for a model coupling free surface and pressurised flows in closed pipes
- Mathematical justification of a shallow water model
- On new erosion models of Savage-Hutter type for avalanches
- A new model of Saint Venant and Savage--Hutter type for gravity driven shallow water flows.
- A sequel to a rough Godunov scheme: Application to real gases
- Some approximate Godunov schemes to compute shallow-water equations with topography.
- A finite volume scheme for a model coupling free surface and pressurised flows in pipes
- Large time existence for 3D water waves and asymptotics
- Shallow water viscous flows for arbitrary topopgraphy
- 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
- Global well-posedness for models of shallow water in a basin with a varying bottom
- Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation
This page was built for publication: A model for unsteady mixed flows in non uniform closed water pipes and a well-balanced finite volume scheme
