ASYMPTOTIC DERIVATION OF THE SECTION-AVERAGED SHALLOW WATER EQUATIONS FOR NATURAL RIVER HYDRAULICS
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Publication:3622695
DOI10.1142/S0218202509003474zbMath1207.35092OpenAlexW2073995804MaRDI QIDQ3622695
Edie Miglio, Luca Bonaventura, Astrid Decoene, Fausto Saleri
Publication date: 28 April 2009
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202509003474
PDEs in connection with fluid mechanics (35Q35) First-order nonlinear hyperbolic equations (35L60) Asymptotic expansions of solutions to PDEs (35C20) Applications to the sciences (65Z05)
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Cites Work
- Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects
- A new model of Saint Venant and Savage--Hutter type for gravity driven shallow water flows.
- A shallow water model with eddy viscosity for basins with varying bottom topography
- A new two-dimensional Shallow Water model including pressure effects and slow varying bottom topography
- A finite element method for 3D hydrostatic water flows
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