Well-balanced bicharacteristic-based scheme for multilayer shallow water flows including wet/dry fronts
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[1] Michael J. Briggs,et al. Laboratory experiments of tsunami runup on a circular island , 1995 .
[2] Mária Lukácová-Medvid'ová,et al. Well-balanced finite volume evolution Galerkin methods for the shallow water equations , 2015, J. Comput. Phys..
[3] Carlos Parés,et al. On the well-balance property of Roe?s method for nonconservative hyperbolic systems , 2004 .
[4] Manuel Jesús Castro Díaz,et al. Finite Volume Simulation of the Geostrophic Adjustment in a Rotating Shallow-Water System , 2008, SIAM J. Sci. Comput..
[5] Carlos Parés,et al. Path-Conservative Numerical Schemes for Nonconservative Hyperbolic Systems , 2008 .
[6] Phoolan Prasad,et al. Nonlinear Hyperbolic Waves in Multidimensions , 2001 .
[7] Manuel Jesús Castro Díaz,et al. Available Online at Www.sciencedirect.com Mathematical and So,snos ~__d,~ot" Computer Modelling the Numerical Treatment of Wet/dry Fronts in Shallow Flows: Application to One-layer and Two-layer Systems , 2022 .
[8] Rémi Abgrall,et al. A comment on the computation of non-conservative products , 2010, J. Comput. Phys..
[9] Mária Lukácová-Medvid'ová,et al. Finite Volume Evolution Galerkin Methods for Hyperbolic Systems , 2004, SIAM J. Sci. Comput..
[10] Manuel Jesús Castro Díaz,et al. Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes , 2008, J. Comput. Phys..
[11] Manuel Jesús Castro Díaz,et al. High Order Extensions of Roe Schemes for Two-Dimensional Nonconservative Hyperbolic Systems , 2009, J. Sci. Comput..
[12] Rémi Abgrall,et al. Two-Layer Shallow Water System: A Relaxation Approach , 2009, SIAM J. Sci. Comput..
[13] G. D. Maso,et al. Definition and weak stability of nonconservative products , 1995 .
[14] Tim Kröger,et al. Multidimensional systems of hyperbolic conservation laws, numerical schemes, and characteristic theory : connections, differences, and numerical comparison , 2004 .
[15] Manuel Jesús Castro Díaz,et al. On an Intermediate Field Capturing Riemann Solver Based on a Parabolic Viscosity Matrix for the Two-Layer Shallow Water System , 2011, J. Sci. Comput..
[16] Carlos Parés,et al. On the hyperbolicity of two- and three-layer shallow water equations , 2010 .
[17] L. V. Ovsyannikov. Two-layer “Shallow water” model , 1979 .
[18] Alexander Kurganov,et al. Central-Upwind Schemes for Two-Layer Shallow Water Equations , 2009, SIAM J. Sci. Comput..
[19] J. B. Schijf,et al. Theoretical considerations on the motion of salt and fresh water , 1953 .
[20] Vladimir Zeitlin,et al. A robust well-balanced scheme for multi-layer shallow water equations , 2010 .
[21] Mária Lukácová-Medvid'ová,et al. Evolution Galerkin methods for hyperbolic systems in two space dimensions , 2000, Math. Comput..
[22] Sebastian Noelle,et al. Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds , 2011, 1501.03628.
[23] Tomás Morales de Luna,et al. Mathematical Modelling and Numerical Analysis an Entropy Satisfying Scheme for Two-layer Shallow Water Equations with Uncoupled Treatment , 2022 .
[24] Manuel Jesús Castro Díaz,et al. Numerical Treatment of the Loss of Hyperbolicity of the Two-Layer Shallow-Water System , 2011, J. Sci. Comput..
[25] Manuel Jesús Castro Díaz,et al. High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems , 2006, Math. Comput..
[26] Gerald Warnecke,et al. Finite volume evolution Galerkin methods for nonlinear hyperbolic systems , 2002 .
[27] Carlos Parés,et al. A Q-SCHEME FOR A CLASS OF SYSTEMS OF COUPLED CONSERVATION LAWS WITH SOURCE TERM. APPLICATION TO A TWO-LAYER 1-D SHALLOW WATER SYSTEM , 2001 .
[28] Mária Lukácová-Medvid'ová,et al. Finite volume evolution Galerkin method for hyperbolic conservation laws with spatially varying flux functions , 2009, J. Comput. Phys..
[29] G. Petrova,et al. A SECOND-ORDER WELL-BALANCED POSITIVITY PRESERVING CENTRAL-UPWIND SCHEME FOR THE SAINT-VENANT SYSTEM ∗ , 2007 .
[30] E. Audusse,et al. A multilayer Saint-Venant model: Derivation and numerical validation , 2005 .
[31] C. Parés. Numerical methods for nonconservative hyperbolic systems: a theoretical framework. , 2006 .
[32] Tim Kröger,et al. An evolution Galerkin scheme for the shallow water magnetohydrodynamic equations in two space dimensions , 2005 .
[33] Fayssal Benkhaldoun,et al. Multilayer Saint-Venant equations over movable beds , 2011 .
[34] F. Marche. Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects , 2007 .
[35] Gerald Warnecke,et al. On Evolution Galerkin Methods for the Maxwell and the Linearized Euler Equations , 2004 .