A well‐balanced stable generalized Riemann problem scheme for shallow water equations using adaptive moving unstructured triangular meshes
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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] Sudi Mungkasi,et al. A finite volume method for shallow water flows on triangular computational grids , 2011, 2011 International Conference on Advanced Computer Science and Information Systems.
[3] Emmanuel Audusse,et al. A well-balanced positivity preserving second-order scheme for shallow water flows on unstructured meshes , 2005 .
[4] Joseph Falcovitz,et al. Application of the GRP scheme to open channel flow equations , 2007, J. Comput. Phys..
[5] Huazhong Tang. Solution of the shallow‐water equations using an adaptive moving mesh method , 2004 .
[6] Michael Dumbser,et al. Well-Balanced High-Order Centred Schemes for Non-Conservative Hyperbolic Systems. Applications to Shallow Water Equations with Fixed and Mobile Bed , 2009 .
[7] T. Gallouët,et al. Some approximate Godunov schemes to compute shallow-water equations with topography , 2003 .
[8] Mária Lukácová-Medvid'ová,et al. Well-balanced finite volume evolution Galerkin methods for the shallow water equations , 2015, J. Comput. Phys..
[9] Gerald Warnecke,et al. A direct Eulerian GRP scheme for compressible fluid flows , 2006, J. Comput. Phys..
[10] B. Perthame,et al. A kinetic scheme for the Saint-Venant system¶with a source term , 2001 .
[11] Doron Levy,et al. CENTRAL-UPWIND SCHEMES FOR THE SAINT-VENANT SYSTEM , 2002 .
[12] Shi Jin,et al. A steady-state capturing method for hyperbolic systems with geometrical source terms , 2001 .
[13] A. Dvinsky. Adaptive grid generation from harmonic maps on Reimannian manifolds , 1991 .
[14] Jianqiang Han,et al. An adaptive moving mesh method for two-dimensional ideal magnetohydrodynamics , 2007, J. Comput. Phys..
[15] Roger Alexander Falconer,et al. Modelling estuarine and coastal flows using an unstructured triangular finite volume algorithm , 2004 .
[16] Jiequan Li,et al. Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem , 2007, Numerische Mathematik.
[17] Pingwen Zhang,et al. Moving mesh methods in multiple dimensions based on harmonic maps , 2001 .
[18] Jiequan Li,et al. An adaptive GRP scheme for compressible fluid flows , 2010, J. Comput. Phys..
[19] Matania Ben-Artzi,et al. The generalized Riemann problem for reactive flows , 1989 .
[20] Ee Han,et al. Accuracy of the Adaptive GRP Scheme and the Simulation of 2-D Riemann Problems for Compressible Euler Equations , 2011 .
[21] Tao Tang,et al. Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws , 2003, SIAM J. Numer. Anal..
[22] Jiequan Li,et al. The generalized Riemann problem method for the shallow water equations with bottom topography , 2006 .
[23] Yulong Xing,et al. High order finite difference WENO schemes with the exact conservation property for the shallow water equations , 2005 .
[24] Pingwen Zhang,et al. Second-Order Accurate Godunov Scheme for Multicomponent Flows on Moving Triangular Meshes , 2008, J. Sci. Comput..
[25] D. Causon,et al. The surface gradient method for the treatment of source terms in the shallow-water equations , 2001 .
[26] Robert D. Russell,et al. Adaptive mesh movement — the MMPDE approach and its applications , 2001 .
[27] Jostein R. Natvig,et al. Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows , 2006, J. Comput. Phys..
[28] Giorgio Rosatti,et al. The Riemann Problem for the one-dimensional, free-surface Shallow Water Equations with a bed step: Theoretical analysis and numerical simulations , 2010, J. Comput. Phys..
[29] The gas-kinetic scheme for shallow water equations * * Project supported by the Hong Kong Research G , 2006 .
[30] Jihn-Sung Lai,et al. Finite-volume component-wise TVD schemes for 2D shallow water equations , 2003 .
[31] Keith Miller,et al. Moving Finite Elements. I , 1981 .
[32] Huazhong Tang,et al. A direct Eulerian GRP scheme for relativistic hydrodynamics: Two-dimensional case , 2012, J. Comput. Phys..
[33] Yulong Xing,et al. Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations , 2010 .
[34] Weiqing Ren,et al. An Iterative Grid Redistribution Method for Singular Problems in Multiple Dimensions , 2000 .
[35] J. Falcovitz,et al. A second-order Godunov-type scheme for compressible fluid dynamics , 1984 .
[36] Mario Ricchiuto,et al. Stabilized residual distribution for shallow water simulations , 2009, J. Comput. Phys..
[37] Christophe Berthon,et al. Efficient well-balanced hydrostatic upwind schemes for shallow-water equations , 2012, J. Comput. Phys..
[38] Shi Jin,et al. Two Interface-Type Numerical Methods for Computing Hyperbolic Systems with Geometrical Source Terms Having Concentrations , 2005, SIAM J. Sci. Comput..
[39] Q. Liang,et al. Numerical resolution of well-balanced shallow water equations with complex source terms , 2009 .
[40] Randall J. LeVeque,et al. Balancing Source Terms and Flux Gradients in High-Resolution Godunov Methods , 1998 .