TRUNCATION ORDER OF FOURIER WAVE THEORY

Rodney J. Sobey

doi:10.9753/icce.v21.21

No. 21 (1988), Conference Proceedings

No. 21 (1988)

TRUNCATION ORDER OF FOURIER WAVE THEORY

Conference Proceedings

https://doi.org/10.9753/icce.v21.21

Published 1988-01-29

Rodney J. Sobey⁺⁻

Rodney J. Sobey

Hydraulic and Coastal Group, Department of Civil Engineering, University of California at Berkeley

PDF

Keywords

Fourier Theory
truncation
truncation order

How to Cite

Sobey, R. J. (1988). TRUNCATION ORDER OF FOURIER WAVE THEORY. Coastal Engineering Proceedings, 1(21), 21. https://doi.org/10.9753/icce.v21.21

Abstract

Specific consideration is given to the dependence of Fourier wave solutions on both truncation order and the number of free surface nodes. Solution dependence is quantified by a comprehensive set of numerical experiments over a typical range of wave height, water depth, truncation order and overspecification values. Integral error measures include the rms free surface boundary condition errors and a slope error that identifies non-physical positive slope segments in the wave profile between crest and trough. Summary error diagrams are presented as a guide to the adoption of suitable truncation orders and overspecification for Fourier solutions. The truncation order is the crucial parameter but there is measurable advantage is some small overspecification.

https://doi.org/10.9753/icce.v21.21

PDF

Authors retain copyright and grant the Proceedings right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this Proceedings.

Most read articles by the same author(s)

Rodney J. Sobey, Bruce A. Harper, George M. Mitchell, NUMERICAL MODELLING OF TROPICAL CYCLONE STORM SURGE , Coastal Engineering Proceedings: No. 17 (1980): Proceedings of 17th Conference on Coastal Engineering, Sydney, Australia, 1980.
Rodney J. Sobey, SYNTHESIS OP HURRICANE RESPONSE HYDROGRAPHS , Coastal Engineering Proceedings: No. 18 (1982): Proceedings of 18th Conference on Coastal Engineering, Cape Town, South Africa, 1982.
Rodney J. Sobey, W. Wayne Read, WAVE GROUPS IN THE FREQUENCY AND TIME DOMAINS , Coastal Engineering Proceedings: No. 19 (1984): Proceedings of 19th Conference on Coastal Engineering, Houston, Texas, 1984.
Rodney J. Sobey, Han-Bin Liang, COMPLEX ENVELOPE IDENTIFICATION OF WAVE GROUPS , Coastal Engineering Proceedings: No. 20 (1986): Proceedings of 20th Conference on Coastal Engineering, Taipei, Taiwan, 1986.
Lance Bode, Rodney J. Sobey, ACCURATE MODELLING OP TWO-DIMENSIONAL MASS TRANSPORT , Coastal Engineering Proceedings: No. 19 (1984): Proceedings of 19th Conference on Coastal Engineering, Houston, Texas, 1984.
Rodney J. Sobey, Bruce D. Chandler, Bruce A. Harper, EXTREME WAVES AND WAVE COUNTS IN A HURRICANE , Coastal Engineering Proceedings: No. 22 (1990): Proceedings of 22nd Conference on Coastal Engineering, Delft, The Netherlands, 1990.
Rodney J. Sobey, Leah S. Orloff, DURATION IN WAVE CLIMATE ANALYSIS , Coastal Engineering Proceedings: No. 26 (1998): Proceedings of 26th Conference on Coastal Engineering, Copenhagen, Denmark, 1998.
Christopher H. Barker, Rodney J. Sobey, IRREGULAR WAVE KINEMATICS FROM A PRESSURE RECORD , Coastal Engineering Proceedings: No. 25 (1996): Proceedings of 25th Conference on Coastal Engineering, Orlando, Florida, 1996.
Jianlu Xu, Rodney J. Sobey, TIME-AVERAGED WAVE FIELD EVOLUTION IN COASTAL ZONE , Coastal Engineering Proceedings: No. 25 (1996): Proceedings of 25th Conference on Coastal Engineering, Orlando, Florida, 1996.
Rodney J. Sobey, ESTIMATION OF IRREGULAR WAVE KINEMATICS FROM A MEASURED RECORD , Coastal Engineering Proceedings: No. 23 (1992): Proceedings of 23rd Conference on Coastal Engineering, Venice, Italy, 1992.

TRUNCATION ORDER OF FOURIER WAVE THEORY

Keywords

How to Cite

Download Citation

Abstract

Most read articles by the same author(s)