hp Discontinuous Galerkin methods for advection dominated problems in shallow water flow
暂无分享,去创建一个
[1] J. Hesthaven,et al. Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications , 2007 .
[2] Chi-Wang Shu,et al. The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V , 1998 .
[3] Chi-Wang Shu,et al. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems , 1989 .
[4] P. Roe. Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .
[5] Joannes J. Westerink,et al. The influence of domain size on the response characteristics of a hurricane storm surge model , 1994 .
[6] R. Luettich,et al. Modelling tides in the western North Atlantic using unstructured graded grids , 1994 .
[7] Jan S. Hesthaven,et al. Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations , 2002 .
[8] W. H. Reed,et al. Triangular mesh methods for the neutron transport equation , 1973 .
[9] Chi-Wang Shu,et al. Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems , 2001, J. Sci. Comput..
[10] David Jon Furbish,et al. Numerical Solution of the Dam-Break Problem with a Discontinuous Galerkin Method , 2004 .
[11] William G. Gray,et al. A wave equation model for finite element tidal computations , 1979 .
[13] Chi-Wang Shu,et al. The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case , 1990 .
[14] Spencer J. Sherwin,et al. A triangular spectral/hp discontinuous Galerkin method for modelling 2D shallow water equations , 2004 .
[15] D. A. Dunavant. High degree efficient symmetrical Gaussian quadrature rules for the triangle , 1985 .
[16] Graham F. Carey,et al. A symmetric formulation and SUPG scheme for the shallow-water equations , 1996 .
[17] Nicole Goutal,et al. TELEMAC: A new numerical model for solving shallow water equations , 1991 .
[18] S. Osher,et al. Efficient implementation of essentially non-oscillatory shock-capturing schemes,II , 1989 .
[19] Clinton N Dawson,et al. A discontinuous Galerkin method for two-dimensional flow and transport in shallow water , 2002 .
[20] Harold L. Atkins,et al. QUADRATURE-FREE IMPLEMENTATION OF DISCONTINUOUS GALERKIN METHOD FOR HYPERBOLIC EQUATIONS , 1996 .
[21] Joannes J. Westerink,et al. Grid convergence studies for the prediction of hurricane storm surge , 1998 .
[22] Hong Li,et al. The discontinuous Galerkin finite element method for the 2D shallow water equations , 2001 .
[23] Moshe Dubiner. Spectral methods on triangles and other domains , 1991 .
[24] George Em Karniadakis,et al. Spectral/hp Methods for Viscous Compressible Flows on Unstructured 2D Meshes , 1998 .
[25] Mark S. Shephard,et al. Adaptive Discontinuous Galerkin Method for the Shallow Water Equations , 2003 .
[26] R. LeVeque. Numerical methods for conservation laws , 1990 .
[27] Ethan J. Kubatko,et al. An unstructured grid morphodynamic model with a discontinuous Galerkin method for bed evolution , 2006 .
[28] George Em Karniadakis,et al. A Discontinuous Galerkin Method for the Viscous MHD Equations , 1999 .
[29] Dirk Schwanenberg,et al. A Discontinuous Galerkin Method for the Shallow Water Equations with Source Terms , 2000 .
[30] William G. Gray,et al. On the control of noise in finite element tidal computations: A semi-implicit approach , 1979 .
[31] Dirk Schwanenberg,et al. Discontinuous Galerkin Finite-Element Method for Transcritical Two-Dimensional Shallow Water Flows , 2004 .
[32] Joannes J. Westerink,et al. Two‐dimensional dispersion analyses of finite element approximations to the shallow water equations , 2004 .
[33] Chi-Wang Shu. TVB uniformly high-order schemes for conservation laws , 1987 .
[34] Stephen J. Thomas,et al. A Discontinuous Galerkin Global Shallow Water Model , 2005, Monthly Weather Review.
[35] William G. Gray,et al. Analytic Solutions for Computer Flow Model Testing , 1978 .
[36] George W. Platzman,et al. Some response characteristics of finite-element tidal models , 1981 .
[37] Clint Dawson,et al. Discontinuous and coupled continuous/discontinuous Galerkin methods for the shallow water equations , 2002 .