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Numerical Model for Simulating Two Dimensional Unsteady Flows in Irregular Flow Domain
This paper introduces a two dimensional (2D) numerical model for simulating unsteady water flow in open channels. The foundation of the model involves conversion of the 2D governing shallow water equations into a boundary fitted coordinate system for dealing with irregular river boundaries. The resultant transformed equations are subsequently solved by implementing the total variation diminishing (TVD) version of Lax–Wendroff finite difference scheme. The practical utility of the developed numerical model is then tested by using it to replicate six established benchmark cases of known experimental and analytical solutions. The test cases include instantaneous dam break cases and steady flow cases with both subcritical and supercritical flow characteristics. The outcomes of these simulations demonstrate a commendable alignment with previously existing analytical, experimental and numerical results. The fidelity of the numerical outcomes is further evaluated using two performance indicators, namely the index of agreement (IA) and root mean square error (RMSE). The values obtained for IA and RMSE underscore the model’s potential across diverse flow scenarios.
Numerical Model for Simulating Two Dimensional Unsteady Flows in Irregular Flow Domain
This paper introduces a two dimensional (2D) numerical model for simulating unsteady water flow in open channels. The foundation of the model involves conversion of the 2D governing shallow water equations into a boundary fitted coordinate system for dealing with irregular river boundaries. The resultant transformed equations are subsequently solved by implementing the total variation diminishing (TVD) version of Lax–Wendroff finite difference scheme. The practical utility of the developed numerical model is then tested by using it to replicate six established benchmark cases of known experimental and analytical solutions. The test cases include instantaneous dam break cases and steady flow cases with both subcritical and supercritical flow characteristics. The outcomes of these simulations demonstrate a commendable alignment with previously existing analytical, experimental and numerical results. The fidelity of the numerical outcomes is further evaluated using two performance indicators, namely the index of agreement (IA) and root mean square error (RMSE). The values obtained for IA and RMSE underscore the model’s potential across diverse flow scenarios.
Numerical Model for Simulating Two Dimensional Unsteady Flows in Irregular Flow Domain
Iran J Sci Technol Trans Civ Eng
Goswami, Avishek (Autor:in) / Kalita, Hriday Mani (Autor:in)
01.10.2024
16 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Numerical Model for Simulating Two Dimensional Unsteady Flows in Irregular Flow Domain
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