Modeling nonlinear waves in a numerical wave tank with localized meshless RBF method

Senturk U.

COMPUTERS & FLUIDS, vol.44, no.1, pp.221-228, 2011 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 1
  • Publication Date: 2011
  • Doi Number: 10.1016/j.compfluid.2011.01.004
  • Title of Journal : COMPUTERS & FLUIDS
  • Page Numbers: pp.221-228


This paper presents the numerical simulation of free surface waves in a 2D domain which represents a wave tank, using a localized approach of the meshless radial basis function (RBF) method. Instead of global collocation, the local approach breaks down the problem domain into subdomains, leading to a sparse global system matrix which is particularly advantageous in tackling the time consuming simulation process. Mixed Eulerian-Lagrangian approach is adopted for free surface tracking and fourth order Adams-Bashforth-Moulton scheme (ABM4) is used for time stepping. Both linear and nonlinear Stokes waves are simulated and compared to analytical solutions. (C) 2011 Elsevier Ltd. All rights reserved.