Consistent section-averaged shallow water equations with bottom friction
type: Item
instance of: scholarly article
title: Consistent section-averaged shallow water equations with bottom friction
zbMATH Open document ID: 1494.76011
author: Victor Michel-Dansac
author: Pascal Noble
author: Jean-Paul Vila
published in: European Journal of Mechanics. B. Fluids
publication date: 2021-12-01T00:00:00Z
Mathematics Subject Classification ID: 76B10
Mathematics Subject Classification ID: 76M45
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 7436742
zbMATH Keywords: one-dimensional shallow water equations
zbMATH Keywords: computational hydraulics
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: section-averaged model
zbMATH Keywords: numerical simulation
MaRDI profile type: Publication
full work available at URL: j.euromechflu.2020.12.005
OpenAlex ID: W3113399552
cites work: Hydrodynamics of Free Surface Flows
cites work: Geometric evolution of the Reynolds stress tensor
cites work: On laminar flow in curved semicircular ducts
cites work: The thin liquid lining of a weakly curved cylindrical tube
cites work: Consistent equations for open-channel flows in the smooth turbulent regime with shearing effects
cites work: Mathematical justification of a shallow water model
cites work: Propagation of solitary waves through significantly curved shallow water channels
cites work: Structure of the hydraulic jump in convergent radial flows
cites work: A new model of shoaling and breaking waves. Part 2. Run-up and two-dimensional waves
cites work: Q4304308
cites work: ASYMPTOTIC DERIVATION OF THE SECTION-AVERAGED SHALLOW WATER EQUATIONS FOR NATURAL RIVER HYDRAULICS
cites work: Instability of flow in a curved alluvial channel
cites work: Hydrodynamical modelling and multidimensional approximation of estuarian river flows
cites work: Coupling superposed 1D and 2D shallow-water models: source terms in finite volume schemes
cites work: On kinematic waves I. Flood movement in long rivers
cites work: Velocity redistribution in curved rectangular channels
cites work: Instability and transition in curved channel flow
cites work: Consistent section-averaged equations of quasi-one-dimensional laminar flow
cites work: Gas-dynamic analogy for vortex free-boundary flows
cites work: A new model of roll waves: comparison with Brock’s experiments
cites work: A three-equation model for thin films down an inclined plane
cites work: Optimization of consistent two-equation models for thin film flows
cites work: IMEX Large Time Step Finite Volume Methods for Low Froude Number Shallow Water Flows
cites work: Q5755052
DOI: 10.1016/J.EUROMECHFLU.2020.12.005
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description: scientific article; zbMATH DE number 7436742