Extension of the two‐component pressure approach for modeling mixed free‐surface‐pressurized flows with the two‐dimensional shallow water equations
Sign Up to like & getrecommendations! Published in 2020 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.4902
Abstract: Numerical models based on the two‐dimensional shallow water equations (2D‐SWE) are routinely used in flood risk management and inundation studies. However, most of these models do not adequately account for vertically confined flow conditions that… read more here.
Keywords: shallow water; surface; free surface; two dimensional ... See more keywords
Generalized finite difference method for two-dimensional shallow water equations
Sign Up to like & getrecommendations! Published in 2017 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2017.03.012
Abstract: Abstract A novel meshless numerical scheme, based on the generalized finite difference method (GFDM), is proposed to accurately analyze the two–dimensional shallow water equations (SWEs). The SWEs are a hyperbolic system of first-order nonlinear partial… read more here.
Keywords: generalized finite; dimensional shallow; method; two dimensional ... See more keywords
Novel Soliton and Periodic Wave Solutions of the (3+1)-Dimensional Shallow Water Wave Equation with Bifurcation Analysis
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DOI: 10.1038/s41598-025-21052-z
Abstract: This study derives novel exact traveling wave solutions for the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(3 + 1)-$$\end{document}dimensional shallow water wave equation–a pivotal model in coastal hydrodynamics for tsunami prediction and… read more here.
Keywords: shallow water; wave solutions; analysis; water wave ... See more keywords
Multi-kink solitons, resonant soliton molecules and multi-lumps solutions to the (3+1)-dimensional shallow water wave equation
Sign Up to like & getrecommendations! Published in 2024 at "Modern Physics Letters B"
DOI: 10.1142/s0217984925500393
Abstract: The objective of this research is to seek some new exact solutions to the [Formula: see text]-dimensional shallow water wave equation (SWWE). By means of the Cole–Hopf transformation, the Hirota bilinear expression of the considered… read more here.
Keywords: equation; shallow water; water wave; wave equation ... See more keywords
Lie Symmetry Analysis, Particular Solutions and Conservation Laws of a New Extended (3+1)-Dimensional Shallow Water Wave Equation
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DOI: 10.3390/sym14091855
Abstract: In this paper, a new extended (3+1)-dimensional shallow water wave equation is discussed via Lie symmetry analysis. Making use of symmetric nodes, we obtain two kinds of symmetrically reduced ODEs. By means of power series,… read more here.
Keywords: conservation; shallow water; new extended; extended dimensional ... See more keywords