An Euler solver for nonlinear water waves simulation using a modified staggered grid and Gaussian quadrature approach

Q. J. Chen, Q. Fan, S. H. Ko, H. Huang, G. Allen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A structured finite volume Euler solver for non-hydrostatic term, free-surface flows has been developed to simulate nonlinear water waves. A semi-implicit projection method which splits the pressure term into hydrostatic and non-hydrostatic parts is employed. A vertically shifted staggered grid is designed to accommodate a new Gaussian discharge calculator and to the application of a non-hydrostatic free-surface boundary condition. The Gaussian discharge calculator on the shifted grid increases the dispersion accuracy compared to traditional approaches that calculate discharges on a regular staggered grid. Numerical results are presented to demonstrate the improvements of these methods.

Original languageEnglish (US)
Title of host publicationRecent Progresses in Fluid Dynamics Research - Proceedings of the Sixth International Conference on Fluid Mechanics, ICFM VI
Pages272-274
Number of pages3
DOIs
StatePublished - Nov 8 2011
Externally publishedYes
EventProceedings of the 6th International Conference on Fluid Mechanics: Recent Progresses in Fluid Dynamics Research, ICFM VI - Guangzhou, China
Duration: Jun 30 2011Jul 3 2011

Publication series

NameAIP Conference Proceedings
Volume1376
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherProceedings of the 6th International Conference on Fluid Mechanics: Recent Progresses in Fluid Dynamics Research, ICFM VI
CountryChina
CityGuangzhou
Period6/30/117/3/11

Keywords

  • Gaussian discharge calculator
  • finite volume method
  • free-surface flow
  • staggered grid

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • Cite this

    Chen, Q. J., Fan, Q., Ko, S. H., Huang, H., & Allen, G. (2011). An Euler solver for nonlinear water waves simulation using a modified staggered grid and Gaussian quadrature approach. In Recent Progresses in Fluid Dynamics Research - Proceedings of the Sixth International Conference on Fluid Mechanics, ICFM VI (pp. 272-274). (AIP Conference Proceedings; Vol. 1376). https://doi.org/10.1063/1.3651895