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

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 discr...

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Main Authors: Hirol, H., Mohd. Noor, M. A., Abd. Jamil, M. Z., Mokhtaram, M. H., Kasiman, E. H., Mohd. Yassin, A. Y.
Format: Article
Language:English
Published: Penerbit UTM Press 2020
Subjects:
TA Engineering (General). Civil engineering (General)
Online Access:http://eprints.utm.my/id/eprint/93682/1/HalinawatiHirol2020_PerformanceOfRadialPointInterpolationMethod.pdf
http://eprints.utm.my/id/eprint/93682/
http://dx.doi.org/10.11113/jt.v82.14066
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spelling my.utm.936822021-12-31T08:45:20Z http://eprints.utm.my/id/eprint/93682/ Performance of radial point interpolation method in solving kinematic wave equation for hydrologic modelling Hirol, H. Mohd. Noor, M. A. Abd. Jamil, M. Z. Mokhtaram, M. H. Kasiman, E. H. Mohd. Yassin, A. Y. TA Engineering (General). Civil engineering (General) 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. Penerbit UTM Press 2020 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/93682/1/HalinawatiHirol2020_PerformanceOfRadialPointInterpolationMethod.pdf Hirol, H. and Mohd. Noor, M. A. and Abd. Jamil, M. Z. and Mokhtaram, M. H. and Kasiman, E. H. and Mohd. Yassin, A. Y. (2020) Performance of radial point interpolation method in solving kinematic wave equation for hydrologic modelling. Jurnal Teknologi, 82 (3). pp. 61-68. ISSN 0127-9696 http://dx.doi.org/10.11113/jt.v82.14066
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic TA Engineering (General). Civil engineering (General)
spellingShingle TA Engineering (General). Civil engineering (General)
Hirol, H.
Mohd. Noor, M. A.
Abd. Jamil, M. Z.
Mokhtaram, M. H.
Kasiman, E. H.
Mohd. Yassin, A. Y.
Performance of radial point interpolation method in solving kinematic wave equation for hydrologic modelling
description 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.
format Article
author Hirol, H.
Mohd. Noor, M. A.
Abd. Jamil, M. Z.
Mokhtaram, M. H.
Kasiman, E. H.
Mohd. Yassin, A. Y.
author_facet Hirol, H.
Mohd. Noor, M. A.
Abd. Jamil, M. Z.
Mokhtaram, M. H.
Kasiman, E. H.
Mohd. Yassin, A. Y.
author_sort Hirol, H.
title Performance of radial point interpolation method in solving kinematic wave equation for hydrologic modelling
title_short Performance of radial point interpolation method in solving kinematic wave equation for hydrologic modelling
title_full Performance of radial point interpolation method in solving kinematic wave equation for hydrologic modelling
title_fullStr Performance of radial point interpolation method in solving kinematic wave equation for hydrologic modelling
title_full_unstemmed Performance of radial point interpolation method in solving kinematic wave equation for hydrologic modelling
title_sort performance of radial point interpolation method in solving kinematic wave equation for hydrologic modelling
publisher Penerbit UTM Press
publishDate 2020
url http://eprints.utm.my/id/eprint/93682/1/HalinawatiHirol2020_PerformanceOfRadialPointInterpolationMethod.pdf
http://eprints.utm.my/id/eprint/93682/
http://dx.doi.org/10.11113/jt.v82.14066
_version_ 1720980109765115904
score 13.211869

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