Parametric analysis of the performance of the SPH solutions of unsteady free-surface flow

In this article, the performances of the SPH method to solve Shallow Water Equations SWEs with three investigation parameters were studied, such as the type of kernel functions, namely: cubic spline, Gaussian and quintic spline kernels, the number of particles used and the stabilization terms inject...

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Published inISH journal of hydraulic engineering Vol. 30; no. 4; pp. 407 - 416
Main Authors Taibi, Sarah, KorichI, Khaled, Hazzab, Abdelkrim, Rahou, Ibrahim
Format Journal Article
LanguageEnglish
Published Taylor & Francis 07.08.2024
Subjects
dam-break
experimental data
floodplains
overland flow
parameters
SPH
SWEs
viscosity
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Abstract In this article, the performances of the SPH method to solve Shallow Water Equations SWEs with three investigation parameters were studied, such as the type of kernel functions, namely: cubic spline, Gaussian and quintic spline kernels, the number of particles used and the stabilization terms injected, specifically: Lax Friedrichs flux, artificial viscosity and two shocks Riemann solver. Three benchmarking tests make the subject of unsteady free surface flow in this study. It is 1D typical dam-break on wet and dry bottom; 2D partial dam-break on a dry floodplain and 2D partial dam-break on channel with 90° bend. The analysis of the different errors between the numerical and analytical solutions and/or the experimental data shows that the SPH method gives reliable values with the selected optimal parameters which are the cubic kernel function and the artificial viscosity term. The increase in the number of particles increases the precision but also the calculation time.
AbstractList In this article, the performances of the SPH method to solve Shallow Water Equations SWEs with three investigation parameters were studied, such as the type of kernel functions, namely: cubic spline, Gaussian and quintic spline kernels, the number of particles used and the stabilization terms injected, specifically: Lax Friedrichs flux, artificial viscosity and two shocks Riemann solver. Three benchmarking tests make the subject of unsteady free surface flow in this study. It is 1D typical dam-break on wet and dry bottom; 2D partial dam-break on a dry floodplain and 2D partial dam-break on channel with 90° bend. The analysis of the different errors between the numerical and analytical solutions and/or the experimental data shows that the SPH method gives reliable values with the selected optimal parameters which are the cubic kernel function and the artificial viscosity term. The increase in the number of particles increases the precision but also the calculation time.
Author KorichI, Khaled
Hazzab, Abdelkrim
Rahou, Ibrahim
Taibi, Sarah
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SubjectTerms dam-break
experimental data
floodplains
overland flow
parameters
SPH
SWEs
viscosity
Title Parametric analysis of the performance of the SPH solutions of unsteady free-surface flow
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