A global shallow water model using high order multi-moment constrained finite volume method and icosahedral grid
暂无分享,去创建一个
Feng Xiao | Satoshi | F. Xiao | Satoshi Ii
[1] David L. Williamson,et al. INTEGRATION OF THE PRIMITIVE BAROTROPIC MODEL OVER A SPHERICAL GEODESIC GRID , 1970 .
[2] John L. McGregor. Semi-Lagrangian Advection on Conformal-Cubic Grids , 1996 .
[3] Hirofumi Tomita,et al. An optimization of the Icosahedral grid modified by spring dynamics , 2002 .
[4] David L. Williamson,et al. The Cartesian method for solving partial differential equations in spherical geometry , 1998 .
[5] Yoshinobu Masuda,et al. An Integration Scheme of the Primitive Equation Model with an Icosahedral-Hexagonal Grid System and its Application to the Shallow Water Equations , 1986 .
[6] Michael Buchhold,et al. The Operational Global Icosahedral-Hexagonal Gridpoint Model GME: Description and High-Resolution Tests , 2002 .
[7] Alfredo Bermúdez,et al. Upwind methods for hyperbolic conservation laws with source terms , 1994 .
[8] Francis X. Giraldo,et al. A nodal triangle-based spectral element method for the shallow water equations on the sphere , 2005 .
[9] F. Mesinger,et al. A global shallow‐water model using an expanded spherical cube: Gnomonic versus conformal coordinates , 1996 .
[10] Stephen J. Thomas,et al. A Discontinuous Galerkin Transport Scheme on the Cubed Sphere , 2005 .
[11] Feng Xiao,et al. A 4th-order and single-cell-based advection scheme on unstructured grids using multi-moments , 2005, Comput. Phys. Commun..
[12] Akio Arakawa,et al. Integration of the Nondivergent Barotropic Vorticity Equation with AN Icosahedral-Hexagonal Grid for the SPHERE1 , 1968 .
[13] M. Satoh,et al. An Accurate Semi-Lagrangian Scheme for Raindrop Sedimentation , 2003 .
[14] G. R. Stuhne,et al. New icosahedral grid-point discretization of the shallow water equation on the sphere , 1999 .
[15] Jan S. Hesthaven,et al. Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations , 2002 .
[16] Masaki Satoh,et al. Nonhydrostatic icosahedral atmospheric model (NICAM) for global cloud resolving simulations , 2008, J. Comput. Phys..
[17] Jianxian Qiu,et al. Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method II: Two dimensional case , 2005 .
[18] Yong Li,et al. Numerical simulations of Rossby–Haurwitz waves , 2000 .
[20] Stephen J. Thomas,et al. A Discontinuous Galerkin Global Shallow Water Model , 2005, Monthly Weather Review.
[21] T. Yabe,et al. Completely conservative and oscillationless semi-Lagrangian schemes for advection transportation , 2001 .
[22] David L. Williamson,et al. Integration of the barotropic vorticity equation on a spherical geodesic grid , 1968 .
[23] Feng Xiao,et al. CIP/multi-moment finite volume method with arbitrary order of accuracy , 2007 .
[24] C. Jablonowski,et al. Moving Vortices on the Sphere: A Test Case for Horizontal Advection Problems , 2008 .
[25] F. Xiao,et al. A Multimoment Finite-Volume Shallow-Water Model On The Yin-Yang Overset Spherical Grid , 2008 .
[26] Feng Xiao,et al. Unified formulation for compressible and incompressible flows by using multi-integrated moments II: Multi-dimensional version for compressible and incompressible flows , 2006, J. Comput. Phys..
[27] Charles A. Doswell,et al. A Kinematic Analysis of Frontogenesis Associated with a Nondivergent Vortex , 1984 .
[28] Hirofumi Tomita,et al. Shallow water model on a modified icosahedral geodesic grid by using spring dynamics , 2001 .
[29] Shian-Jiann Lin,et al. Finite-volume transport on various cubed-sphere grids , 2007, J. Comput. Phys..
[30] P. Paolucci,et al. The “Cubed Sphere” , 1996 .
[31] Todd D. Ringler,et al. Modeling the Atmospheric General Circulation Using a Spherical Geodesic Grid: A New Class of Dynamical Cores , 2000 .
[32] Chi-Wang Shu,et al. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems , 1989 .
[33] Chi-Wang Shu,et al. The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V , 1998 .
[34] W. H. Reed,et al. Triangular mesh methods for the neutron transport equation , 1973 .
[35] P. Swarztrauber,et al. A standard test set for numerical approximations to the shallow water equations in spherical geometry , 1992 .
[36] D. Williamson. The Evolution of Dynamical Cores for Global Atmospheric Models(125th Anniversary Issue of the Meteorological Society of Japan) , 2007 .
[37] Feng Xiao,et al. Unified formulation for compressible and incompressible flows by using multi-integrated moments I: one-dimensional inviscid compressible flow , 2004 .
[38] Eleuterio F. Toro,et al. Towards Very High Order Godunov Schemes , 2001 .
[39] R. K. Scott,et al. An initial-value problem for testing numerical models of the global shallow-water equations , 2004 .
[40] Feng Xiao,et al. High order multi-moment constrained finite volume method. Part I: Basic formulation , 2009, J. Comput. Phys..
[41] J. Hack,et al. Spectral transform solutions to the shallow water test set , 1995 .
[42] T. Yabe,et al. The constrained interpolation profile method for multiphase analysis , 2001 .
[43] Chi-Wang Shu,et al. The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case , 1990 .
[44] Eric Deleersnijder,et al. A finite element method for solving the shallow water equations on the sphere , 2009 .
[45] J. Hack,et al. Solutions to the Shallow Water Test Set Using the Spectral Transform Method , 1993 .
[46] Mengping Zhang,et al. An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods , 2005 .
[47] Chi-Wang Shu,et al. TVB Runge-Kutta local projection discontinuous galerkin finite element method for conservation laws. II: General framework , 1989 .
[48] Francis X. Giraldo,et al. A spectral element shallow water model on spherical geodesic grids , 2001 .
[49] R. Akoh,et al. A CIP/multi-moment finite volume method for shallow water equations with source terms , 2008 .
[50] Jianxian Qiu,et al. Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case , 2004 .
[51] Francis X. Giraldo,et al. A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates , 2008, J. Comput. Phys..
[52] Feng Xiao,et al. CIP/multi-moment finite volume method for Euler equations: A semi-Lagrangian characteristic formulation , 2007, J. Comput. Phys..
[53] Kenji Takizawa,et al. Conservative form of interpolated differential operator scheme for compressible and incompressible fluid dynamics , 2008, J. Comput. Phys..
[54] Francis X. Giraldo,et al. High-order triangle-based discontinuous Galerkin methods for hyperbolic equations on a rotating sphere , 2006, J. Comput. Phys..
[55] J. Côté,et al. A Lagrange multiplier approach for the metric terms of semi‐Lagrangian models on the sphere , 1988 .
[56] Yulong Xing,et al. High order finite difference WENO schemes with the exact conservation property for the shallow water equations , 2005 .
[57] Chi-Wang Shu. Total-variation-diminishing time discretizations , 1988 .
[58] R. Sadourny. Conservative Finite-Difference Approximations of the Primitive Equations on Quasi-Uniform Spherical Grids , 1972 .
[59] Jean-François Remacle,et al. High-order discontinuous Galerkin schemes on general 2D manifolds applied to the shallow water equations , 2009, J. Comput. Phys..
[60] W. Richard Peltier,et al. A robust unstructured grid discretization for 3-dimensional hydrostatic flows in spherical geometry: A new numerical structure for ocean general circulation modeling , 2006, J. Comput. Phys..
[61] P. Roe. Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .
[62] Feng Xiao,et al. Shallow water model on cubed-sphere by multi-moment finite volume method , 2008, J. Comput. Phys..
[63] F. Xiao,et al. Numerical simulations of free-interface fluids by a multi-integrated moment method , 2005 .
[64] Takashi Yabe,et al. A universal solver for hyperbolic equations by cubic-polynomial interpolation I. One-dimensional solver , 1991 .
[65] James A. Rossmanith,et al. A wave propagation method for hyperbolic systems on the sphere , 2006, J. Comput. Phys..
[66] John L. McGregor. Semi-Lagrangian Advection on a Cubic Gnomonic Projection of the Sphere , 1997 .
[67] Eleuterio F. Toro,et al. ADER: Arbitrary High Order Godunov Approach , 2002, J. Sci. Comput..
[68] J. Wolf,et al. The scaled boundary finite-element method – alias consistent infinitesimal finite element cell method – for diffusion , 1999 .
[69] Jean Côté,et al. Cascade interpolation for semi‐Lagrangian advection over the sphere , 1999 .
[70] Todd D. Ringler,et al. Climate modeling with spherical geodesic grids , 2002, Comput. Sci. Eng..