The paper presents a variable grid finite-differences approximation of the characteristic form of the shallow-water equations without artificial viscosity or friction factors to model the propagation and runup of one-dimensional long waves, referred to as VTCS-2. The method is applied in the calculation of the evolution of breaking and nonbreaking waves on sloping beaches. The computation results are compared with analytical solutions, other numerical computations and with laboratory data for breaking and nonbreaking solitary waves. It is found that the model describes the evolution and runup of nonbreaking waves very well, even when using a very small number of grid points per wavelength. Even though the method does not model the detailed surface profile of wave breaking well, it adequately predicts the runup of plunging solitary waves without adhoc assumptions about viscosity and friction. This appears to be a further manifestation of the well- documented but unexplained ability of the shallow water wave equations to provide quantitatively correct runup results even in parameter ranges where the underlying assumptions of the governing equations are violated.

  • Supplemental Notes:
    • J Waterway, Port, Coastal, and Ocean Engng, v 121 n 6, Nov/Dec 1995, p 308 [9 p, 37 ref, 11 fig]
  • Authors:
    • Titov, V V
    • Synolakis, C E
  • Publication Date: 1995


  • English

Subject/Index Terms

Filing Info

  • Accession Number: 00718481
  • Record Type: Publication
  • Source Agency: British Maritime Technology
  • Files: TRIS
  • Created Date: Mar 27 1996 12:00AM