Results 31 to 40 of about 6,393,597 (298)

The effect of water stage on the infiltration rate for initially dry channels [PDF]

open access: yes, 2007
Several hydrological models that are used for simulating the water flow in rivers and channels are based on the shallow water equations as in Copeland and El-Hanafy, (2006) or Saint Venant equations (El-Hanafy and Copeland, 2007a). Both the shallow water
Copeland, Graham J.M., Elhanafy, Hossam
core   +3 more sources

Modelling rollers for shallow water flows [PDF]

open access: yes, 2013
Hydraulic jumps, roll waves or bores in open channel flows are often treated as singularities by hydraulicians while slowly varying shallow water flows are described by continuous solutions of the Saint-Venant equations. Richard & Gavrilyuk (J.
Thual, Olivier
core   +1 more source

Wave solution behaviors for fractional nonlinear fluid dynamic equation and shallow water equation [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2023
The behaviors of wave solutions of the fractional nonlinear space-time Sharma-Tasso-Olever equation and the fractional nonlinear space-time Estevez-Mansfield-Clarkson equation, representing a fluid dynamics equation and a shallow water equation ...
Weerachai Thadee   +3 more
doaj  

Riemann Problem for Shallow Water Equation with Vegetation

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
We investigate the existence of the solution of the Riemann Problem for a simplified water ow model on a vegetated surface - system of shallow water type equations. It is known that the system with discontinuous topography is non-conservative even if the
Ion Stelian   +2 more
doaj   +1 more source

Wave Effects of the Fractional Shallow Water Equation and the Fractional Optical Fiber Equation

open access: yesFrontiers in Applied Mathematics and Statistics, 2022
The non-linear space-time fractional Estevez-Mansfield-Clarkson (EMC) equation and the non-linear space-time fractional Ablowitz-Kaup-Newell-Segur (AKNS) equation showed the motion of waves in the shallow water equation and the optical fiber equation ...
Sirasrete Phoosree, Weerachai Thadee
doaj   +1 more source

A modification of the mixed form of Richards equation and its application in vertically inhomogeneous soils [PDF]

open access: yes, 2011
Recently, new soil data maps were developed, which include vertical soil properties like soil type. Implementing those into a multilayer Soil-Vegetation-Atmosphere-Transfer (SVAT) scheme, discontinuities in the water content occur at the interface ...
Ahrens, Bodo   +3 more
core   +2 more sources

Integrable Shallow‐Water Equations and Undular Bores [PDF]

open access: yesStudies in Applied Mathematics, 2001
On the basis of the integrable Kaup–Boussinesq version of the shallow‐water equations, an analytical theory of undular bores is constructed. A complete classification for the problem of the decay of an initial discontinuity is made.
El, Gennady   +2 more
openaire   +2 more sources

Letter to the Editor on a shallow water wave equation in Results Phys. 43, 106048 (2022) and its generalization

open access: yesResults in Physics, 2023
Results Phys. 43, 106048 (2022) has amusingly retrieved some solitonic and other analytic solutions for a shallow water wave equation presented there. In this Letter, we suggest that such an equation be moreover studied in line with Results Phys.
Xin-Yi Gao, Yong-Jiang Guo, Wen-Rui Shan
doaj   +1 more source

Invariant Discretization Schemes for the Shallow-Water Equations [PDF]

open access: yesSIAM Journal on Scientific Computing, 2012
27 pages, 6 figures, minor ...
Alexander Bihlo, Roman O. Popovych
openaire   +3 more sources

Water ow on vegetated hill. 1D shallow water equation type model

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
A mathematical model for the water ow on a hill covered by variable distributed vegetation is proposed in this article. The model takes into account the variation of the geometrical properties of the terrain surface, but it assumes that the surface ...
Ion Stelian   +4 more
doaj   +1 more source

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