Approximations of the Carrier–Greenspan periodic solution to the shallow water wave equations for flows on a sloping beach
DOI10.1002/fld.2607zbMath1253.76012OpenAlexW1943630519MaRDI QIDQ4898008
Sudi Mungkasi, Stephen G. Roberts
Publication date: 29 December 2012
Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)
Full work available at URL: http://repository.usd.ac.id/4903/1/110_Mungkasi_2012_IJNMF.pdf
finite volume methodsperiodic wavesshallow water wave equationsfixed boundarysloping beachmoving shoreline
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12)
Cites Work
- A comparison of two different types of shoreline boundary conditions
- On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
- Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
- On the shoreline boundary conditions for Boussinesq-type models
- Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
- Water waves of finite amplitude on a sloping beach
- Wave equation hydrodynamics on deforming elements
- Numerical integration of the shallow water equations over a sloping shelf
- A numerical model for the flooding and drying of irregular domains
- On the best quantity reconstructions for a well balanced finite volume method used to solve the shallow water wave equations with a wet/dry interface
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
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