Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects
References (23)
- et al.
A new model of Saint-Venant Savage–Hutter type for gravity driven shallow water flows
C. R. Acad. Sci. Paris, Ser. I
(2003) - et al.
Uncertainty and equifinality in calibrating distributed roughness coefficients in a flood propagation model with limited data
Adv. Water Resources
(1998) - et al.
Some diffusive capillary models of Korteweg type
C. R. Mecanique
(2004) Large-scale vorticity generation by breakers in shallow and deep water
Eur. J. Mech. B Fluids
(1999)- et al.
Derivation of viscous Saint-Venant system for laminar shallow water; Numerical validation
Discrete and Continuous Dynamical Systems Ser. B
(2001) Théorie du mouvement non-permanent des eaux, avec application aux crues des rivières et à l'introduction des marèes dans leur lit
C. R. Acad. Sci. Paris
(1871)Water Wave Propagation over Uneven Bottoms – Parts 1, 2
(1997)Linear and Nonlinear Waves
(1999)- E. Audusse, A multilayer Saint-Venant model, DCDS-B (2004), in...
- et al.
Gravity driven shallow water models for arbitrary topography
Comm. Math. Sci.
(2004)
On some compressible fluid models: Korteweg, lubrication and shallow water systems
Comm. Partial Differential Equations
(2003)
Cited by (130)
On the global-in-time inviscid limit of the 3D degenerate compressible Navier-Stokes equations
2023, Journal des Mathematiques Pures et AppliqueesAsymptotic analysis of a thin fluid layer flow between two moving surfaces
2022, Journal of Mathematical Analysis and ApplicationsCitation Excerpt :Thin fluid layer models are widely used for the analysis and numerical simulation of a large number of geophysical phenomena, such as rivers or coastal flows and other hydraulic applications. Saint-Venant firstly derived in his paper [51] a shallow water model, since then numerous authors have studied this type of models (see, for example, [39], [53], [7–9], [26], [29], [33]), on many occasions using asymptotic analysis techniques to justify them (see [2], [45–50]). But, when do we know “a priori” if the fluid is “driven by the pressure” or “driven by the velocity”, that is, if we should use the lubrication model or the shallow water model?
A lattice Boltzmann model for the viscous shallow water equations with source terms
2021, Journal of HydrologyViscous transfer of momentum across a shallow laminar flow
2022, Journal of Fluid MechanicsA new thin layer model for viscous flow between two nearby non-static surfaces
2023, ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Copyright © 2006 Elsevier SAS. All rights reserved.