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Numerical Solution of Two-Dimensional Shallow Water Flow with Finite Difference Scheme
In this study, Saint-Venant equations (SVEs) are solved numerically using MacCormack finite-difference scheme. Derivation of 2D Saint-Venant continuity and momentum equations is presented using the finite difference method. For the discretization of SVEs, MacCormack Predictor-Corrector Scheme is utilized. In both space and time, it is 2nd-order accurate. The Saint-Venant equations for 2D flow is solved for the computation of hydraulic jump in a straight channel with the addition of artificial viscosity term to MacCormack Predictor-Corrector Scheme for reducing numerical oscillations. Results show that this scheme easily captures hydraulic jump near upstream (within 3 m of channel span) without numerical oscillation. The results of the numerical experiment show that the MacCormack Predictor-Correction Scheme is working well with the 2D numerical experiment of hydraulic jump in a straight channel.
Numerical Solution of Two-Dimensional Shallow Water Flow with Finite Difference Scheme
In this study, Saint-Venant equations (SVEs) are solved numerically using MacCormack finite-difference scheme. Derivation of 2D Saint-Venant continuity and momentum equations is presented using the finite difference method. For the discretization of SVEs, MacCormack Predictor-Corrector Scheme is utilized. In both space and time, it is 2nd-order accurate. The Saint-Venant equations for 2D flow is solved for the computation of hydraulic jump in a straight channel with the addition of artificial viscosity term to MacCormack Predictor-Corrector Scheme for reducing numerical oscillations. Results show that this scheme easily captures hydraulic jump near upstream (within 3 m of channel span) without numerical oscillation. The results of the numerical experiment show that the MacCormack Predictor-Correction Scheme is working well with the 2D numerical experiment of hydraulic jump in a straight channel.
Numerical Solution of Two-Dimensional Shallow Water Flow with Finite Difference Scheme
Lecture Notes in Civil Engineering
Timbadiya, P. V. (editor) / Patel, P. L. (editor) / Singh, Vijay P. (editor) / Barman, Bandita (editor) / Koradia, Ashishkumar (author) / Barman, Bandita (author)
International Conference on Hydraulics, Water Resources and Coastal Engineering ; 2021
2023-06-27
12 pages
Article/Chapter (Book)
Electronic Resource
English
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