Exact solutions of shallow water equations for the water oscillation problem in a simulated basin and their implementation in verifying numerical algorithms

DOI10.15372/SJNM20190303OpenAlexW4250999230MaRDI QIDQ5043024

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Publication date: 26 October 2022

Published in: Сибирский журнал вычислительной математики (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/sjvm715

zbMATH Keywords

verificationCoriolis forceordinary differential equationsshallow water equationsexact solutionsfree surfacemathematical modelingnumerical algorithmsbottom frictionwave run-uplarge particles method

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Geophysics (86-XX)

Related Items (2)

Semi-analytical solutions of shallow water waves with idealised bottom topographies ⋮ Analysing the impact of bottom friction on shallow water waves over idealised bottom topographies

Cites Work

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• A finite volume method for modeling shallow flows with wet-dry fronts on adaptive Cartesian grids
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• A numerical solution for moving boundary shallow water flow above parabolic bottom topography
• Water waves of finite amplitude on a sloping beach
• The runup of solitary waves
• Some exact solutions to the nonlinear shallow-water wave equations
• Single-wave run-up on sloping beaches
• Nonlinear wave run-up in bays of arbitrary cross-section: generalization of the Carrier–Greenspan approach

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