Numerical Simulation of the Rio Fucino Dam-Break Flood

 AUTHOR(S): Giovanni Cannata, Chiara Petrelli, Luca Barsi, Federico Fratello, Francesco Gallerano TITLE Numerical Simulation of the Rio Fucino Dam-Break Flood PDF ABSTRACT In this paper a dam-break flood model based on a contravariant integral form of the shallow water equations is presented. The equations of motion are numerically solved by means of a finite volume-finite difference numerical scheme that involves an exact Riemann solver and is based on a WENO reconstruction procedure. An original scheme for the simulation of the wet front progress on the dry bed is adopted. The proposed model is used to simulate the Rio Fucino dam-break and subsequent flood wave propagation, downstream of the Campotosto reservoir (Italy). KEYWORDS shallow water equations, curvilinear coordinates, shock-capturing, dam-break flood, exact Riemann solver, wet and dry front REFERENCES [1] Aris, R., Vectors, tensors, and the basic equations of fluid mechanics, New York, USA, Dover, 1989. [2] Cannata, G., Lasaponara, F. & Gallerano, F., Non-Linear Shallow Water Equations numerical integration on curvilinear boundaryconforming grids, WSEAS Transactions on Fluid Mechanics, No. 10, 2015, pp. 13-25. [3] Gallerano, F., Cannata, G. & Lasaponara, F., Numerical simulation of wave transformation, breaking run-up by a contravariant fully nonlinear Boussinesq model, Journal of Hydrodynamics B, No. 28, 2016, pp. 379-388. [4] Gallerano, F., Cannata, G. & Lasaponara, F., A new numerical model for simulations of wave transformation, breaking and long shore currents in complex coastal regions, International Journal for Numerical Methods in Fluids, No. 80, 2016, pp. 571-613. [5] Gallerano, F., Cannata, G. & Tamburrino, M., Upwind WENO scheme for shallow water equations in contravariant formulation, Computers & Fluids, No. 62, 2012, pp. 1-12. [6] Liu, X., Osher, S. & Chan, T., Weighted essentially non-oscillatory schemes. Journal of Computational Physics, No. 115(1), 1994, pp. 200-212. [7] Rossmanith, J.A., Bale, D.S. & LeVeque, R.J., A wave propagation algorithm for hyperbolic systems on curved manifolds, Journal of Computational Physics, No. 199(2), 2004, pp. 631-662. [8] Shi, F., Kirby, J.T., Harris, J.C., Geiman, J.D. & Grilli, S.T., A high-order adaptive timestepping TVD solver for Boussinesq modeling of breaking waves and coastal inundation. Coastal Engineering, No. 193(1), 1998, pp. 90- 124. [9] Spiteri, R.J. & Ruuth, S.J., A new class of optimal high-order strong stability-preserving time discretization methods, SIAM Journal on Numerical Analysis, No. 40(2), 2002, pp. 469- 491. [10] Tonelli, M. & Petti, M., Hybrid finite-volume finite-difference scheme for 2HD improved Boussinesq equations. Coastal Engineering, No. 56, 2009, pp. 609-620. [11] Toro, E., Shock-capturing methods for freesurface shallow flows, John Wiley and Sons: Manchester, 2001. [12] Valiani, A., Caleffi, V. & Zanni, A., Case study: Malpasset dam-break simulation using a two-dimensional finite volume method, Journal of Hydraulic Engineering, No. 128, 2002, pp. 460-472. [13] Xing, Y. & Shu, C.W., High order wellbalanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms, Journal of Computational Physics, No. 214(2), 2006, pp. 567-598. Cite this paper Giovanni Cannata, Chiara Petrelli, Luca Barsi, Federico Fratello, Francesco Gallerano. (2018) Numerical Simulation of the Rio Fucino Dam-Break Flood. International Journal of Environmental Science, 3, 42-48 Copyright © 2018 Author(s) retain the copyright of this article.This article is published under the terms of the Creative Commons Attribution License 4.0