A nonlinear wave propagation model

İNAN A., BALAS L.

WSEAS Transactions on Mathematics, cilt.5, sa.7, ss.806-810, 2006 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 7
  • Basım Tarihi: 2006
  • Dergi Adı: WSEAS Transactions on Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.806-810
  • Anahtar Kelimeler: Diffraction, Finite difference, Mild slope equation, Refraction, Shoaling, Wave model
  • Gazi Üniversitesi Adresli: Evet

Özet

The extended mild slope equation has been solved numerically to simulate wave propagation. Refraction, diffraction, shoaling, reflection, bottom friction, breaking energy dissipation and resonance with nonlinear wave celerity and group velocity have been considered. Mac Cormack Method and Point Gauss Seidel Method are applied together on an irregular mesh. In the predictor step, forward finite difference approximations are applied to first order derivatives and central finite difference approximations are applied to second order derivatives. In the corrector step, backward finite diffirence approximations are used for first order derivatives and central finite difference approximations are applied to second order derivatives. The developed numerical model has been applied to the Fethiye Bay located in the Mediterranen coast of Turkey.