Similarity analysis of long wave equations with variable bottom friction

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

Mathematical and Computational Applications, vol.9, no.1, pp.117-123, 2004 (Scopus, TRDizin) identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 1
  • Publication Date: 2004
  • Journal Name: Mathematical and Computational Applications
  • Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.117-123
  • Keywords: Bottom Friction, Long Waves, Similarity Analysis
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

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.