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

doi:10.1063/1.3651895

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 proceeding › Conference 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 language	English (US)
Title of host publication	Recent Progresses in Fluid Dynamics Research - Proceedings of the Sixth International Conference on Fluid Mechanics, ICFM VI
Pages	272-274
Number of pages	3
DOIs	https://doi.org/10.1063/1.3651895
State	Published - Nov 8 2011
Externally published	Yes
Event	Proceedings of the 6th International Conference on Fluid Mechanics: Recent Progresses in Fluid Dynamics Research, ICFM VI - Guangzhou, China Duration: Jun 30 2011 → Jul 3 2011

Publication series

Name	AIP Conference Proceedings
Volume	1376
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Other

Other	Proceedings of the 6th International Conference on Fluid Mechanics: Recent Progresses in Fluid Dynamics Research, ICFM VI
Country	China
City	Guangzhou
Period	6/30/11 → 7/3/11

Keywords

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

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1063/1.3651895

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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

An Euler solver for nonlinear water waves simulation using a modified staggered grid and Gaussian quadrature approach. / Chen, Q. J.; Fan, Q.; Ko, S. H.; Huang, H.; Allen, G.

Recent Progresses in Fluid Dynamics Research - Proceedings of the Sixth International Conference on Fluid Mechanics, ICFM VI. 2011. p. 272-274 (AIP Conference Proceedings; Vol. 1376).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Chen, QJ, Fan, Q, Ko, SH, 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. AIP Conference Proceedings, vol. 1376, pp. 272-274, Proceedings of the 6th International Conference on Fluid Mechanics: Recent Progresses in Fluid Dynamics Research, ICFM VI, Guangzhou, China, 6/30/11. https://doi.org/10.1063/1.3651895

Chen QJ, Fan Q, Ko SH, Huang H, Allen G. 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. 2011. p. 272-274. (AIP Conference Proceedings). https://doi.org/10.1063/1.3651895

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