A New Hydrostatic Reconstruction Scheme Based on Subcell Reconstructions
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[1] Yulong Xing,et al. High-order well-balanced finite volume WENO schemes for shallow water equation with moving water , 2007, J. Comput. Phys..
[2] P. Lax,et al. Systems of conservation laws , 1960 .
[3] Olivier Delestre,et al. A limitation of the hydrostatic reconstruction technique for Shallow Water equations , 2012 .
[4] G. D. Maso,et al. Definition and weak stability of nonconservative products , 1995 .
[5] P. Raviart,et al. Numerical Approximation of Hyperbolic Systems of Conservation Laws , 1996, Applied Mathematical Sciences.
[6] Prabhu Ramachandran,et al. Approximate Riemann solvers for the Godunov SPH (GSPH) , 2014, J. Comput. Phys..
[7] F. Bouchut. Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws: and Well-Balanced Schemes for Sources , 2005 .
[8] E. Toro. Riemann Solvers and Numerical Methods for Fluid Dynamics , 1997 .
[9] Alfredo Bermúdez,et al. Upwind methods for hyperbolic conservation laws with source terms , 1994 .
[10] Jostein R. Natvig,et al. Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows , 2006, J. Comput. Phys..
[11] Emmanuel Audusse,et al. A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows , 2004, SIAM J. Sci. Comput..
[12] C. Parés. Numerical methods for nonconservative hyperbolic systems: a theoretical framework. , 2006 .
[13] Aaas News,et al. Book Reviews , 1893, Buffalo Medical and Surgical Journal.
[14] Yulong Xing,et al. High order well-balanced schemes , 2010 .
[15] P. Lax,et al. On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws , 1983 .
[16] Manuel Jesús Castro Díaz,et al. Reliability of first order numerical schemes for solving shallow water system over abrupt topography , 2012, Appl. Math. Comput..
[17] 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..
[18] Carlos Parés Madroñal,et al. On the Convergence and Well-Balanced Property of Path-Conservative Numerical Schemes for Systems of Balance Laws , 2011, J. Sci. Comput..
[19] 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..
[20] 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..
[21] Doron Levy,et al. CENTRAL-UPWIND SCHEMES FOR THE SAINT-VENANT SYSTEM , 2002 .
[22] D. Causon,et al. The surface gradient method for the treatment of source terms in the shallow-water equations , 2001 .
[23] Rémi Abgrall,et al. A comment on the computation of non-conservative products , 2010, J. Comput. Phys..