A numerical model for periodic finite amplitude waves on a rotational fluid

Robert A. Dalrymple

doi:10.1016/0021-9991(77)90108-5

A numerical model for periodic finite amplitude waves on a rotational fluid

Robert A. Dalrymple^*

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

Abstract

An iterative finite difference model is developed to describe two-dimensional periodic gravity waves on the surface of a fluid containing vorticity in the form of a vertical shear current. A coordinate transformation due to Dubreil-Jacotin has been used to map the fluid domain into a rectangle. The full nonlinear constant pressure free surface boundary condition is used iteratively until convergence is achieved. A comparison is made to an analytical model for a linear shear current and results are also shown for a mean flow with a ( 1 7) power law velocity distribution.

Original language	English (US)
Pages (from-to)	29-42
Number of pages	14
Journal	Journal of Computational Physics
Volume	24
Issue number	1
DOIs	https://doi.org/10.1016/0021-9991(77)90108-5
State	Published - May 1977

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
Physics and Astronomy(all)
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/0021-9991(77)90108-5

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AB - An iterative finite difference model is developed to describe two-dimensional periodic gravity waves on the surface of a fluid containing vorticity in the form of a vertical shear current. A coordinate transformation due to Dubreil-Jacotin has been used to map the fluid domain into a rectangle. The full nonlinear constant pressure free surface boundary condition is used iteratively until convergence is achieved. A comparison is made to an analytical model for a linear shear current and results are also shown for a mean flow with a ( 1 7) power law velocity distribution.

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A numerical model for periodic finite amplitude waves on a rotational fluid

Abstract

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