Articles | Volume 9, issue 5
https://doi.org/10.5194/gmd-9-2007-2016
https://doi.org/10.5194/gmd-9-2007-2016
Development and technical paper
 | 
01 Jun 2016
Development and technical paper |  | 01 Jun 2016

A high-order staggered finite-element vertical discretization for non-hydrostatic atmospheric models

Jorge E. Guerra and Paul A. Ullrich

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Cited articles

Arakawa, A. and Moorthi, S.: Baroclinic instability in vertically discrete systems, J. Atmos. Sci., 45, 1688–1708, https://doi.org/10.1175/1520-0469(1988)045<1688:BIIVDS>2.0.CO;2, 1988.
Ascher, U., Ruuth, S., and Spiteri, R.: Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations, Appl. Numer. Math., 25, 151–167, https://doi.org/10.1016/S0168-9274(97)00056-1, 1997.
Charney, J. and Phillips, N.: Numerical integration of the quasi-geostrophic equations for barotropic and simple baroclinic flows, J. Atmos. Sci., 10, 71–99, https://doi.org/10.1175/1520-0469(1953)010<0071:NIOTQG>2.0.CO;2, 1953.
Cotter, C. and Thuburn, J.: A finite element exterior calculus framework for the rotating shallow-water equations, J. Comput. Phys., 231, 7076–7091, 2012.
Cotter, C. and Thuburn, J.: Mixed finite elements for numerical weather prediction, J. Comput. Phys., 257, 1506–1526, 2014.
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Short summary
This work introduces a collection of advances in the field of numerical simulation of the atmosphere using mixed finite element methods. We emphasize vertical motions in the atmosphere and apply state-of-the-art mathematics and programming paradigms to solve the differential equations that govern air flow cast in a coordinate-free formulation. The simulations show accurate flow features over a wide range of spatial scales including several important phenomena.