TRUNCATION ORDER OF FOURIER WAVE THEORY

Proceedings of the International Conference on Coastal Engineering

Rodney J. Sobey¹ 

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

关键词: Fourier Theory;    truncation;    truncation order;   

DOI  :  10.9753/icce.v21.%p

学科分类：建筑学

来源: Coastal Engineering Research Council

【 摘 要 】

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.

【 授权许可】

Unknown