A Numerical Code for Waves in a Two-Layer Shallow Fluid Conference Paper uri icon


  • Copyright © 2014 by ASME. The preliminary results from a two-dimensional two-layer nonlinear shallow water model are presented. The system is composed of two inviscid, incompressible, and immiscible fluids of constant density. The waves are assumed to be nonlinear and non-dispersive and the water depth is assumed to be constant. A high order predictor-corrector algorithm with a high order fi- nite difference discretization, accurate to O(Δx4) is developed. The numerical algorithm and the boundary conditions are out- lined and the model is compared with the analytical solution of internal solitary waves.

author list (cited authors)

  • Tahvildari, N., Lynett, P. J., & Kaihatu, J. M.

citation count

  • 1

publication date

  • June 2014