A numerical method for the solution of the nonlinear turbulent one-dimensional free surface flow equations

DOI10.1007/s10596-017-9671-yzbMath1405.65094OpenAlexW2625983772MaRDI QIDQ1710287

Sujit K. Bose

Publication date: 22 January 2019

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-017-9671-y

zbMATH Keywords

dischargewave breakingfourth order Runge-Kutta methodLax-Wendroff methodfree surface elevationdepth averaged velocitynonlinear turbulent free surface flow equations

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Uses Software

• ADCIRC

Cites Work

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• Staggered scheme for the Exner-shallow water equations
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• High order finite difference WENO schemes with the exact conservation property for the shallow water equations
• On the overturning of gravity waves
• Semi‐implicit finite difference methods for three‐dimensional shallow water flow
• Numerical Modeling of Water Waves
• Breaking Waves in Deep and Intermediate Waters

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