Performance of radial point interpolation method in solving kinematic wave equation for hydrologic modelling

H. Hirol, M. A. Mohd Noor, M. Z. Abd Jamil, M. H. Mokhtaram, E. H. Kasiman, A. Y. Mohd Yassin

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Abstract

This paper presents the solution of the kinematic wave equation using a meshless radial point interpolation method (RPIM). The partial differential equation is discretized using a Galerkin weighted residual method employing RPIM shape functions. A forward difference scheme is used for temporal discretization, while the direct substitution method is employed to solve the nonlinear system at each time step. The formulation is validated against solutions from conventional numerical techniques and physical observation. In all cases, excellent agreements are achieved and hence the validation of the proposed formulation. Optimum values of the multi-quadrics shape parameters were then determined before the assessment of the performance of the method. Based on the convergence rate, it has been shown that the proposed method performs better than the finite difference method and equivalent to the finite element method. This highlights the potential of RPIM as an alternative method for hydrologic modeling.

Original languageEnglish
Pages (from-to)61-68
Number of pages8
JournalJurnal Teknologi
Volume82
Issue number3
Early online date23 Apr 2020
DOIs
Publication statusPublished - May 2020

Keywords

  • Finite difference method
  • Finite element method
  • Hydrologic modeling
  • Meshless method
  • Radial point interpolation method
  • Saint venant kinematic wave

ASJC Scopus subject areas

  • Engineering(all)

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