Open AccessPERFORMANCE OF RADIAL POINT INTERPOLATION METHOD IN SOLVING KINEMATIC WAVE EQUATION FOR HYDROLOGIC MODELLING
Author(s) -
Halinawati Hirol,
Muhammad Aslam Noor,
Mohsin Jamil,
Mokhtazul Haizad Mokhtaram,
Erwan Hafizi Kasiman,
Airil Yasreen Mohd Yassin
Publication year - 2020
Publication title -
jurnal teknologi/jurnal teknologi
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.191
H-Index - 22
eISSN - 2180-3722
pISSN - 0127-9696
DOI - 10.11113/jt.v82.14066
Subject(s) - discretization , interpolation (computer graphics) , galerkin method , finite element method , partial differential equation , method of mean weighted residuals , mathematics , convergence (economics) , residual , kinematics , finite difference method , nonlinear system , finite difference , point (geometry) , mathematical analysis , computer science , algorithm , geometry , physics , animation , computer graphics (images) , classical mechanics , quantum mechanics , economics , thermodynamics , economic growth
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.