Improved explicit approximation of linear dispersion relationship for gravity waves

Beji S.

COASTAL ENGINEERING, cilt.73, ss.11-12, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 73
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1016/j.coastaleng.2012.10.002
  • Sayfa Sayıları: ss.11-12


For water waves the transcendental dispersion relationship is solved by iterative methods when wave period and water depth are given and wavelength or wave number is required. A highly accurate explicit approximation to linear dispersion relationship is proposed based on Eckart's explicit relationship. While Eckart's expression is accurate to within 5%, the improved relationship has a maximum relative error of less than 0.05%. A simpler form of the relationship with 0.2% accuracy is also given. (C) 2012 Elsevier B.V. All rights reserved.