Adaptive finite volume methods with well‐balanced Riemann solvers for modeling floods in rugged terrain: Application to the Malpasset dam‐break flood (France, 1959)
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[1] J. Hervouet,et al. Malpasset dam-break revisited with two-dimensional computations , 1999 .
[2] E. Toro. Shock-Capturing Methods for Free-Surface Shallow Flows , 2001 .
[3] S. Savage,et al. The motion of a finite mass of granular material down a rough incline , 1989, Journal of Fluid Mechanics.
[4] Alistair G.L. Borthwick,et al. The shallow flow equations solved on adaptive quadtree grids , 2001 .
[5] P. Colella,et al. Local adaptive mesh refinement for shock hydrodynamics , 1989 .
[6] P. García-Navarro,et al. On numerical treatment of the source terms in the shallow water equations , 2000 .
[7] Jacques Sainte-Marie,et al. Derivation of a non-hydrostatic shallow water model; Comparison with Saint-Venant and Boussinesq systems , 2008 .
[8] R. LeVeque,et al. Adaptive Mesh Refinement Using Wave-Propagation Algorithms for Hyperbolic Systems , 1998 .
[9] Pilar García-Navarro,et al. Efficient construction of high‐resolution TVD conservative schemes for equations with source terms: application to shallow water flows , 2001 .
[10] F. Bouchut. Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws: and Well-Balanced Schemes for Sources , 2005 .
[11] Javier Murillo,et al. The influence of source terms on stability, accuracy and conservation in two‐dimensional shallow flow simulation using triangular finite volumes , 2007 .
[12] Qiuhua Liang,et al. Simulation of dam‐ and dyke‐break hydrodynamics on dynamically adaptive quadtree grids , 2004 .
[13] J. Greenberg,et al. A well-balanced scheme for the numerical processing of source terms in hyperbolic equations , 1996 .
[14] David L. George,et al. Finite volume methods and adaptive refinement for tsunami propagation and inundation , 2006 .
[15] David L. George,et al. Augmented Riemann solvers for the shallow water equations over variable topography with steady states and inundation , 2008, J. Comput. Phys..
[16] R. LeVeque,et al. HIGH-RESOLUTION FINITE VOLUME METHODS FOR THE SHALLOW WATER EQUATIONS WITH BATHYMETRY AND DRY STATES , 2008 .
[17] Alfredo Bermúdez,et al. Upwind methods for hyperbolic conservation laws with source terms , 1994 .
[18] R. LeVeque. Finite Volume Methods for Hyperbolic Problems: Characteristics and Riemann Problems for Linear Hyperbolic Equations , 2002 .
[19] Richard M. Iverson,et al. Elements of an Improved Model of Debris-flow Motion , 2009 .
[20] Randall J. LeVeque,et al. Balancing Source Terms and Flux Gradients in High-Resolution Godunov Methods , 1998 .
[21] D. Causon,et al. The surface gradient method for the treatment of source terms in the shallow-water equations , 2001 .
[22] R. LeVeque,et al. FINITE VOLUME METHODS AND ADAPTIVE REFINEMENT FOR GLOBAL TSUNAMI PROPAGATION AND LOCAL INUNDATION. , 2006 .
[23] Randall J. LeVeque,et al. A Wave Propagation Method for Conservation Laws and Balance Laws with Spatially Varying Flux Functions , 2002, SIAM J. Sci. Comput..
[24] R. Iverson,et al. U. S. Geological Survey , 1967, Radiocarbon.
[25] R. LeVeque,et al. High-Resolution Methods and Adaptive Refinement for Tsunami Propagation and Inundation , 2008 .
[26] Valerio Caleffi,et al. Case Study: Malpasset Dam-Break Simulation using a Two-Dimensional Finite Volume Method , 2002 .
[27] P. Raviart,et al. Numerical Approximation of Hyperbolic Systems of Conservation Laws , 1996, Applied Mathematical Sciences.
[28] Richard M. Iverson,et al. Granular avalanches across irregular three-dimensional terrain: 1. Theory and computation , 2004 .
[29] Emmanuel Audusse,et al. A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows , 2004, SIAM J. Sci. Comput..
[30] R. LeVeque. Wave Propagation Algorithms for Multidimensional Hyperbolic Systems , 1997 .
[31] M. Berger,et al. Adaptive mesh refinement for hyperbolic partial differential equations , 1982 .
[32] Kwok Fai Cheung,et al. Depth‐integrated, non‐hydrostatic model for wave breaking and run‐up , 2009 .