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

Robert A. Dalrymple*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

33 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 languageEnglish (US)
Pages (from-to)29-42
Number of pages14
JournalJournal of Computational Physics
Volume24
Issue number1
DOIs
StatePublished - 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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