Formation and coarsening of roll-waves in shear shallow water flows down an inclined rectangular channel

DOI10.1016/j.compfluid.2017.10.004zbMath1390.76042OpenAlexW2763504834MaRDI QIDQ1648622

K. A. Ivanova, Gaël L. Richard, Sergey L. Gavrilyuk, Boniface Nkonga

Publication date: 27 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.compfluid.2017.10.004

zbMATH Keywords

coarseningGodunov methodhyperbolic equationsroll-wavesshear shallow water flows

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (12)

Impact force of roll waves against obstacles ⋮ Entropy stable schemes for the shear shallow water model equations ⋮ Well‐posedness of reynolds averaged equations for compressible fluids with a vanishing pressure ⋮ Multi-dimensional shear shallow water flows: problems and solutions ⋮ Fluctuation splitting Riemann solver for a non-conservative modeling of shear shallow water flow ⋮ Structure of the hydraulic jump in convergent radial flows ⋮ Formation and evolution of roll waves in a shallow free surface flow of a power-law fluid down an inclined plane ⋮ Hyperbolic model for free surface shallow water flows with effects of dispersion, vorticity and topography ⋮ Numerical simulations of hydraulic jumps with the Shear Shallow Water model ⋮ The front runner in roll waves produced by local disturbances ⋮ Numerical modelling of turbulent geophysical flows using a hyperbolic shear shallow water model: application to powder snow avalanches ⋮ A path conservative finite volume method for a shear shallow water model

Uses Software

• HE-E1GODF

Cites Work

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• Stability of viscous St. Venant roll waves: from onset to infinite Froude number limit
• Geometric evolution of the Reynolds stress tensor
• Stability of Turbulent Roll-Waves in an Inclined Open Channel
• A new model of roll waves: comparison with Brock’s experiments
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• The classical hydraulic jump in a model of shear shallow-water flows
• Gas-dynamic analogy for vortex free-boundary flows
• On the Construction and Comparison of Difference Schemes
• Mathematical solution of the problem of roll‐waves in inclined opel channels

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