Results 21 to 30 of about 13,716 (261)
Traveling wave solutions for shallow water equations
Journal of Ocean Engineering and Science, 2017 An extended homogeneous balance method is suggested in this paper. Based on computerized symbolic computation and the homogeneous balance method, new exact traveling wave solutions of nonlinear partial differential equations (PDEs) are presented.
U.M. Abdelsalam
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Numerical Simulation of Nonlinear Wave Propagation from Deep to Shallow Water
Journal of Marine Science and Engineering, 2023 Herein, a numerical model is proposed to simulate the nonlinear wave propagation from deep to shallow water and wave breaking phenomena. In the numerical model, the governing equations selected, in which the momentum equations were added to the eddy ...
Peng-Bo Zheng +3 more
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ESAIM: Proceedings and Surveys, 2017 This paper provides the full proof of the results announced by the authors in [C. R. Acad. Sciences (2016)]. We introduce an original relative entropy for compressible Navier-Stokes equations with density dependent viscosities and discuss some possible ...
Bresch Didier +2 more
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An extended linear shallow-water equation [PDF]
Journal of Fluid Mechanics, 2019 An extension to the classical shallow-water equation (SWE) is derived that exactly satisfies the bed condition and can be regarded as an approximation to wave scattering at the next order in the small parameter $(h/\unicode[STIX]{x1D706})^{2}$ (depth to wavelength ratio squared).
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One-Dimensional Shallow Water Equations Ill-Posedness
MathematicsIn 2071, the Hydraulic community will commemorate the second centenary of the Baré de Saint-Venant equations, also known as the Shallow Water Equations (SWE). These equations are fundamental to the study of open-channel flow.
Tew-Fik Mahdi
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Integrable Shallow‐Water Equations and Undular Bores [PDF]
Studies 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
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Adaptive wavelet simulation of global ocean dynamics using a new Brinkman volume penalization [PDF]
Geoscientific Model Development, 2015 In order to easily enforce solid-wall boundary conditions in the presence of complex coastlines, we propose a new mass and energy conserving Brinkman penalization for the rotating shallow water equations.
N. K.-R. Kevlahan, T. Dubos, M. Aechtner
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Agriculture, 2022 The overelevation of the water table in surface irrigation plots is one of the main factors affecting salinization in agricultural soils. Therefore, it is necessary to develop simulation models that consider the effect of a shallow water table in the ...
Sebastián Fuentes, Carlos Chávez
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Peakon solutions of the shallow water equation
Applied Mathematics Letters, 2001 This paper deals with the shallow water equation \[ U_t+ 3UU_x= U_{xxt}+ 2U_x U_{xx}- 2KU_x.\tag{1} \] The authors consider singular limits of quasiperiodic solutions when the spectral curve becomes singular and its arithmetic genus drops to zero. The solutions are then expressed in terms of purely exponential \(\tau\)-functions and they describe the ...
Mark S. Alber, Charles Miller
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Advanced Engineering Materials, EarlyView.Solvate ionic liquids lubrication reduced the coefficient of friction by ∼60% compared to dry sliding, reaching steady‐state values as low as 0.04–0.05. Corrosion weight‐loss measurements in 1 M HCl further demonstrated significant inhibition behavior, with only 100 ppm of [Li(G3)][TFSI] (∼68.5 μL/L) reducing corrosion‐product weight loss by 63 ...
Sameh Dabees +6 more
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