Similarity analysis of long wave equations with variable bottom friction

Anaç Kiliç M., Pakdemirli M., Solmaz B.

Mathematical and Computational Applications, cilt.9, sa.1, ss.117-123, 2004 (Scopus, TRDizin) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 1
  • Basım Tarihi: 2004
  • Dergi Adı: Mathematical and Computational Applications
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.117-123
  • Anahtar Kelimeler: Bottom Friction, Long Waves, Similarity Analysis
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

Long wave equations propagating along an open channel with bottom friction are considered. The equations are cast into a non-dimensional form. Scaling and translational symmetries of the equations are calculated for the cases of constant bottom friction coefficient and variable bottom friction coefficient. Using the symmetries, the partial differential equations are transformed into ordinary differential equations. Analytical and numerical solutions of the ordinary differential equations are found and solutions are contrasted with each other.