A Lagrangian particle/panel method for the barotropic vorticity equations on a rotating sphere
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Lei Wang | Robert Krasny | Christiane Jablonowski | Peter A. Bosler | R. Krasny | Lei Wang | P. Bosler | Christiane Jablonowski
[1] Petros Koumoutsakos,et al. Inviscid Axisymmetrization of an Elliptical Vortex , 1997 .
[2] Robert Krasny,et al. Azimuthal instability of a vortex ring computed by a vortex sheet panel method , 2008 .
[3] David G. Dritschel,et al. The Contour-Advective Semi-Lagrangian Algorithm for the Shallow Water Equations , 1999 .
[4] Lei Wang. Radial Basis Functions and Vortex Methods and their Application to Vortex Dynamics on a Rotating Sphere. , 2010 .
[5] Quentin F. Stout,et al. Block-Structured Adaptive Grids on the Sphere: Advection Experiments , 2006 .
[6] An extension of Draghicescu's fast tree-code algorithm to the vortex method on a sphere , 2009 .
[7] J. Marsden,et al. A mathematical introduction to fluid mechanics , 1979 .
[8] Robert J. Renka,et al. Algorithm 773: SSRFPACK: interpolation of scattered data on the surface of a sphere with a surface under tension , 1997, TOMS.
[9] Thomas Y. Hou,et al. Convergence of the point vortex method for the 2-D euler equations , 1990 .
[10] R. Krasny. Desingularization of periodic vortex sheet roll-up , 1986 .
[11] Thomas Y. Hou,et al. Convergence of the point vortex method for the 3‐D euler equations , 1990 .
[12] H. Aref. INTEGRABLE, CHAOTIC, AND TURBULENT VORTEX MOTION IN TWO-DIMENSIONAL FLOWS , 1983 .
[13] Mary Catherine A. Kropinski,et al. Fast integral equation methods for the Laplace-Beltrami equation on the sphere , 2013, Adv. Comput. Math..
[14] Contour dynamics/surgery on the sphere , 1988 .
[15] N SwarztrauberPaul,et al. A standard test set for numerical approximations to the shallow water equations in spherical geometry , 1992 .
[16] Robert J. Renka,et al. Algorithm 772: STRIPACK: Delaunay triangulation and Voronoi diagram on the surface of a sphere , 1997, TOMS.
[17] K. Lindsay,et al. A particle method and adaptive treecode for vortex sheet motion in three-dimensional flow , 2001 .
[18] Marjorie Perlman,et al. Accuracy of vortex methods , 1983 .
[19] V. A. Bogomolov. Dynamics of vorticity at a sphere , 1977 .
[20] A. Chorin. Numerical study of slightly viscous flow , 1973, Journal of Fluid Mechanics.
[21] L. Barba,et al. Advances in viscous vortex methods—meshless spatial adaption based on radial basis function interpolation , 2005 .
[22] Thomas Y. Hou,et al. Convergence of the Grid-free point Vortex method for the three-dimensional Euler equations , 1991 .
[23] Jahrul M. Alam,et al. Toward a Fully Lagrangian Atmospheric Modeling System , 2008 .
[24] M. Juckes,et al. A high-resolution one-layer model of breaking planetary waves in the stratosphere , 1987, Nature.
[25] L. Polvani,et al. A New Look at Stratospheric Sudden Warmings. Part I: Climatology and Modeling Benchmarks , 2007 .
[26] Shian‐Jiann Lin,et al. Multidimensional Flux-Form Semi-Lagrangian Transport Schemes , 1996 .
[27] Amit Surana,et al. Vortex dynamics in complex domains on a spherical surface , 2008, J. Comput. Phys..
[28] P. Newton,et al. Motion of three point vortices on a sphere , 1998 .
[29] Ru-Yu Lai. Increasing stability for the diffusion equation , 2014 .
[30] P. Swarztrauber,et al. A standard test set for numerical approximations to the shallow water equations in spherical geometry , 1992 .
[31] Mark A. Taylor,et al. A compatible and conservative spectral element method on unstructured grids , 2010, J. Comput. Phys..
[32] Peter Andrew Bosler,et al. Particle Methods for Geophysical Flow on the Sphere. , 2013 .
[33] Giovanni Russo,et al. Fast triangulated vortex methods for the 2D Euler equations , 1994 .