A Comparative Study between Finite Difference Method and Finite Volume Method for Shallow Water-Dam Break Flow Problem
finite difference method, finite volume method, shallow water dam break flow, water height and water velocity
Abstract
In this paper we perform numerical simulation of shallow water equations for dam break flow problem. Finite difference method and finite volume method are applied for the numerical solution of the shallow water equations. We estimate water height and water velocity for the test case of shallow waterdam break flow problem at different height ratio. The comparisons between the finite difference method and finite volume method for 1-D dam break problem have been shown. The agreement of numerical solution with analytic solution by finite volume method is better than finite difference method. We compare the computational efficiency for both schemes in subcritical flow.
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References
V Bellos, V Hrissanthou (2011) Numerical simulation of Dam break flood wave. 33, 45-53.
Fayssal Benkhaldoun, Mohammed Seaïd (2010) A simple finite volume method for the shallow water equations. 234(1), 58-72.
J Stoker (1986) Water Waves.
M Rahaman, L Andallah, M Alam (2017) Numerical solution of advection diffusion reaction equation coupled with shallow water equations. 8, 256-262.
Jafar Baghari, K Samir, Das (2013) Modeling of shallow water equations by using implicit high order compact scheme with application to dam break problem.
K Samir, Jafar Das, Baghari (2015) Modeling of shallow water equations by using compact Mac-Cormack type schemes with application to dam break problem.
Md, Saiduzzaman, Kumar Sobuj, Ray (2013) Comparison of numerical schemes for shallow water equation. 13(4), 29-46.
M Ahmed, M Mamat, W Wan Nik, A Kartono (2013) Numerical method for dam break problem by using Godunov approach. 2(1), 95-107.
Randall Leveque (1992) Numerical methods for conservation laws.
Pilar García-Navarro, Pilar Brufau One Dimensional Dam Break Flow Modeling.
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2019-08-19
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