## Numerical Techniques for Global Atmospheric ModelsPeter H. Lauritzen, Christiane Jablonowski, Mark A. Taylor, Ramachandran D. Nair This book surveys recent developments in numerical techniques for global atmospheric models. It is based upon a collection of lectures prepared by leading experts in the field. The chapters reveal the multitude of steps that determine the global atmospheric model design. They encompass the choice of the equation set, computational grids on the sphere, horizontal and vertical discretizations, time integration methods, filtering and diffusion mechanisms, conservation properties, tracer transport, and considerations for designing models for massively parallel computers. A reader interested in applied numerical methods but also the many facets of atmospheric modeling should find this book of particular relevance. |

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### Contents

Editorial Policy | 557 |

Lecture Notesin Computational Scienceand Engineering | 559 |

Monographs in Computational Scienceand Engineering | 563 |

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accuracy algorithm applications approximation Arakawa atmospheric models boundary C-grid cell climate models coefficient component Comput Phys conservation continuity equation Coriolis cubed-sphere defined Delaunay triangulation density derivative DG method discrete discussed dispersion relation dissipation divergence damping domain dynamical core element enstrophy error Eulerian example explicit field filter finite finite-volume flow fluid flux formulation function Galerkin Galerkin method GCMs global atmospheric gradient gravity waves grid high-order hydrostatic hyper-diffusion integration Jablonowski kinetic energy Lagrangian Lauritzen limiter linear mesh model top modes momentum equation monotonicity Nair nonlinear numerical methods numerical model numerical solution parameterizations physical points polynomials potential vorticity pressure primitive equations problem prognostic quadrature reconstruction resolution Rossby waves Runge–Kutta scales second-order Sect semi-implicit semi-Lagrangian shallow water shallow water equations simulation Skamarock spatial spectral sphere spherical stability Staniforth step Thuburn time-step tion total energy tracer variables vector velocity vertical coordinate Voronoi tessellations wavenumber Wea Rev