A note on estimation of the Jacobian elliptic parameter in cnoidal wave theory

✍ Scribed by Y.-S. Cho

• Book ID: 104159072
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 79 KB
• Volume: 30
• Category: Article
• ISSN: 0029-8018
• DOI: 10.1016/s0029-8018(03)00040-4

✦ Synopsis

A new and simple calculating technique for the Jacobian elliptic parameter is presented in this study. The technique is very useful in generating a train of cnoidal waves in both laboratory and numerical wave tanks. Upon specification of water depth, the wave height and either the wave period or the wavelength, the proposed technique uses the Newton-Raphson method to estimate the Jacobian elliptic parameter directly, without trial and error procedures or lookup in tables. It is shown that the technique provides equally accurate results as the ad hoc methods previously used.