TY  - JOUR
T1  - Meshless Point Interpolation Formulation of Kinematic Wave
Equation for Flood Routing
AU - Hirol, H. AU - Noor, M.A. Mohd AU - Kasiman, E.H. AU - Hong, A.K.B. AU - Yusop, Z. AU - Yassin, A.Y. Mohd 
JO  - Journal of Engineering and Applied Sciences
VL  - 12
IS  - 20
SP  - 5286
EP  - 5293
PY  - 2017
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2017.5286.5293
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2017.5286.5293
KW  - Meshless method
KW  -point interpolation method
KW  -finite difference method
KW  -finite element method
KW  -Saint Venant kinematic wave equation
KW  -hydrologic modelling
AB  - This study presents the meshless Point Interpolation Method (PIM) formulation to solve kinematic
wave equation for flood routing. It details on Galerkin residual method employing PIM shape functions in
discretizing the unsteady partial differential equation. Two nonlinear solvers are considered; Picard and
Newton-Raphson. The formulation are verified against both hypothetical data obtained from conventional
numerical methods (finite difference and finite element method) and gauged data obtained from an actual river.
Close agreements are obtained between the proposed PIM formulation and the conventional methods thus
highlight the potential of PIM as an alternative numerical method in the field of hydrologic modelling.
ER  -