Simulation of Dam Break using Finite Volume Method
Today, numerical simulation is a powerful tool to
solve various hydraulic engineering problems. The aim of this
research is numerical solutions of shallow water equations using
finite volume method for Simulations of dam break over wet and dry
bed. In order to solve Riemann problem, Roe-s approximate solver is
used. To evaluate numerical model, simulation was done in 1D and
2D states. In 1D state, two dam break test over dry bed (with and
without friction) were studied. The results showed that Structural
failure around the dam and damage to the downstream constructions
in bed without friction is more than friction bed. In 2D state, two
tests for wet and dry beds were done. Generally in wet bed case,
waves are propagated to canal sides but in dry bed it is not
significant. Therefore, damage to the storage facilities and
agricultural lands in wet bed case is more than in dry bed.
[1] M. H. Chaudry, "Open-Channel flow", Prentice-Hall, Englewood
Cliffs, NJ,USA, 2008.
[2] A. Valiani, V. Caleffi, and A. Zanni, "Case Study: Malpasset Dam-
Break Simulation Using a 2D Finite Volume Method," JHE, 128(5),
2002, pp 460-472.
[3] D. H. Zhao, and H. W. Shen, " Approximate Riemann
solvers in FVM for 2D hydraulic shock wave modelling," JHE,
Vol. 122(12), 1996, pp 692-702.
[4] P. A. Sleigh and P. H. Gaskell, M. Berzins, and N. G. Wright, "An
Unstructured Finite-volume Algorithm for Predicting Flow in Rivers
and Estuaries," Computers & Fluids, 27(4), 1998, pp 479-508.
[5] E. Toro, "Riemann Problems and theWAF Method for Solving the Twodimensional
Shallow Water Equations," Philosophical Trans. Royal Soc.
London, U.K., A338, 1992.
[6] J. S. Wang, H.G. NI and Y. S. He, "Finite-difference TVD Scheme for
Computation of Dam-break Problems," JHE, 126(4), 2000, pp 253-262.
[7] M. Kianian, M. A. Banihashemi, 2D model for dam break using fread &
McCormack method, 4th international congress on civil engineering,
Tehran university, 2008.
[1] M. H. Chaudry, "Open-Channel flow", Prentice-Hall, Englewood
Cliffs, NJ,USA, 2008.
[2] A. Valiani, V. Caleffi, and A. Zanni, "Case Study: Malpasset Dam-
Break Simulation Using a 2D Finite Volume Method," JHE, 128(5),
2002, pp 460-472.
[3] D. H. Zhao, and H. W. Shen, " Approximate Riemann
solvers in FVM for 2D hydraulic shock wave modelling," JHE,
Vol. 122(12), 1996, pp 692-702.
[4] P. A. Sleigh and P. H. Gaskell, M. Berzins, and N. G. Wright, "An
Unstructured Finite-volume Algorithm for Predicting Flow in Rivers
and Estuaries," Computers & Fluids, 27(4), 1998, pp 479-508.
[5] E. Toro, "Riemann Problems and theWAF Method for Solving the Twodimensional
Shallow Water Equations," Philosophical Trans. Royal Soc.
London, U.K., A338, 1992.
[6] J. S. Wang, H.G. NI and Y. S. He, "Finite-difference TVD Scheme for
Computation of Dam-break Problems," JHE, 126(4), 2000, pp 253-262.
[7] M. Kianian, M. A. Banihashemi, 2D model for dam break using fread &
McCormack method, 4th international congress on civil engineering,
Tehran university, 2008.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:52761", author = "A.Roshandel and N.Hedayat and H.kiamanesh", title = "Simulation of Dam Break using Finite Volume Method", abstract = "Today, numerical simulation is a powerful tool to
solve various hydraulic engineering problems. The aim of this
research is numerical solutions of shallow water equations using
finite volume method for Simulations of dam break over wet and dry
bed. In order to solve Riemann problem, Roe-s approximate solver is
used. To evaluate numerical model, simulation was done in 1D and
2D states. In 1D state, two dam break test over dry bed (with and
without friction) were studied. The results showed that Structural
failure around the dam and damage to the downstream constructions
in bed without friction is more than friction bed. In 2D state, two
tests for wet and dry beds were done. Generally in wet bed case,
waves are propagated to canal sides but in dry bed it is not
significant. Therefore, damage to the storage facilities and
agricultural lands in wet bed case is more than in dry bed.", keywords = "dam break, dry bed, finite volume method, shallow
water equations.", volume = "4", number = "11", pages = "1405-4", }