A Cartesian method for fitting the bathymetry and tracking the dynamic position of the shoreline in a three-dimensional, hydrodynamic model

DOI10.1016/J.JCP.2004.05.004zbMath1115.76401OpenAlexW2085486119MaRDI QIDQ1887760

Xinjian Chen

Publication date: 22 November 2004

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.05.004

zbMATH Keywords

Bi-linear interpolationFitting bathymetryFitting boundaryFlux-based finite difference equationsHybrid grid cellsLESS3DTracking shoreline

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76M99)

Related Items (2)

A three-dimensional hydrodynamic model for shallow waters using unstructured Cartesian grids ⋮ Improving multi-block sigma-coordinate for 3D simulation of sediment transport and steep slope bed evolution

Cites Work

• A free-surface correction method for simulating shallow water flows.
• Using a piecewise linear bottom to fit the bed variation in a laterally averaged,z-co-ordinate hydrodynamic model
• Semi‐implicit finite difference methods for three‐dimensional shallow water flow
• A fully hydrodynamic model for three-dimensional, free-surface flows

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