RECENT EXTENSIONS TO LOCAL POLYNOMIAL APPROXIMATION MODELS

Proceedings of the International Conference on Coastal Engineering

Andrew B. Kennedy¹ 

[1] Center for Applied Coastal Research, University of Delaware

关键词: polynomial approximation;    model extension;   

DOI  :  10.9753/icce.v26.%p

学科分类：建筑学

来源: Coastal Engineering Research Council

【 摘 要 】

Local polynomial approximation models for water wave simulation are examined with the aim of improving accuracy and efficiency. Several potential improvements are considered. The first is based on a linearisation of the solution for Laplace's equation and is shown to have good theoretical characteristics. However, it is found to have a fatal instability to high wavenumber bottom disturbances. The second method uses empirical collocation adjustment to provide better agreement with exact solutions for steady waves. This method provides significant improvements in accuracy for a given level of approximation and is recommended for future use.

【 授权许可】

Unknown