Impacts of the horizontal and vertical grids on the numerical solutions of the dynamical equations – Part 2: Quasi-geostrophic Rossby modes

Konor, Celal S.; Randall, David A.

doi:10.5194/gmd-11-1785-2018

Title: Impacts of the horizontal and vertical grids on the numerical solutions of the dynamical equations – Part 2: Quasi-geostrophic Rossby modes

Abstract

We use a normal-mode analysis to investigate the impacts of the horizontal and vertical discretizations on the numerical solutions of the quasi-geostrophic anelastic baroclinic and barotropic Rossby modes on a midlatitude β plane. The dispersion equations are derived for the linearized anelastic system, discretized on the Z, C, D, CD, (DC), A, E and B horizontal grids, and on the L and CP vertical grids. The effects of various horizontal grid spacings and vertical wavenumbers are discussed. A companion paper, Part 1, discusses the impacts of the discretization on the inertia–gravity modes on a midlatitude f plane.The results of our normal-mode analyses for the Rossby waves overall support the conclusions of the previous studies obtained with the shallow-water equations. We identify an area of disagreement with the E-grid solution.

Authors:: Konor, Celal S.; Randall, David A.

Publication Date:: 2018-05-08

Research Org.:: Colorado State Univ., Fort Collins, CO (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Biological and Environmental Research (BER); National Science Foundation (NSF)

OSTI Identifier:: 1436358

Alternate Identifier(s):: OSTI ID: 1505825

Grant/Contract Number:: SC0016273; SC0007050; SC0016305; AGS-1500187

Resource Type:: Published Article

Journal Name:: Geoscientific Model Development (Online)

Additional Journal Information:: Journal Name: Geoscientific Model Development (Online) Journal Volume: 11 Journal Issue: 5; Journal ID: ISSN 1991-9603

Publisher:: Copernicus Publications, EGU

Country of Publication:: Germany

Language:: English

Subject:: 58 GEOSCIENCES; 97 MATHEMATICS AND COMPUTING

Citation Formats


                    Konor, Celal S., and Randall, David A. Impacts of the horizontal and vertical grids on the numerical solutions of the dynamical equations – Part 2: Quasi-geostrophic Rossby modes.  Germany: N. p., 2018. 
Web.  doi:10.5194/gmd-11-1785-2018.

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                    Konor, Celal S., & Randall, David A. Impacts of the horizontal and vertical grids on the numerical solutions of the dynamical equations – Part 2: Quasi-geostrophic Rossby modes.  Germany.  https://doi.org/10.5194/gmd-11-1785-2018

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                    Konor, Celal S., and Randall, David A. Tue .  
"Impacts of the horizontal and vertical grids on the numerical solutions of the dynamical equations – Part 2: Quasi-geostrophic Rossby modes".  Germany.  https://doi.org/10.5194/gmd-11-1785-2018.

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@article{osti_1436358,

  title        = {Impacts of the horizontal and vertical grids on the numerical solutions of the dynamical equations – Part 2: Quasi-geostrophic Rossby modes},

  author       = {Konor, Celal S. and Randall, David A.},

  abstractNote = {We use a normal-mode analysis to investigate the impacts of the horizontal and vertical discretizations on the numerical solutions of the quasi-geostrophic anelastic baroclinic and barotropic Rossby modes on a midlatitude β plane. The dispersion equations are derived for the linearized anelastic system, discretized on the Z, C, D, CD, (DC), A, E and B horizontal grids, and on the L and CP vertical grids. The effects of various horizontal grid spacings and vertical wavenumbers are discussed. A companion paper, Part 1, discusses the impacts of the discretization on the inertia–gravity modes on a midlatitude f plane.The results of our normal-mode analyses for the Rossby waves overall support the conclusions of the previous studies obtained with the shallow-water equations. We identify an area of disagreement with the E-grid solution.},

  doi          = {10.5194/gmd-11-1785-2018},

  journal      = {Geoscientific Model Development (Online)},

  number       = 5,

  volume       = 11,

  place        = {Germany},

  year         = {2018},

  month        = {5}

}

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Works referenced in this record:

Rossby Wave Frequencies and Group Velocities for Finite Element and Finite Difference Approximations to the Vorticity-Divergence and the Primitive Forms of the Shallow Water Equations
journal, July 1989

Neta, Beny; Williams, R. T.
Monthly Weather Review, Vol. 117, Issue 7
DOI: 10.1175/1520-0493(1989)117<1439:RWFAGV>2.0.CO;2

Impacts of the horizontal and vertical grids on the numerical solutions of the dynamical equations – Part 1: Nonhydrostatic inertia–gravity modes
journal, January 2018

Konor, Celal S.; Randall, David A.
Geoscientific Model Development, Vol. 11, Issue 5
DOI: 10.5194/gmd-11-1753-2018

Unification of the Anelastic and Quasi-Hydrostatic Systems of Equations
journal, February 2009

Arakawa, Akio; Konor, Celal S.
Monthly Weather Review, Vol. 137, Issue 2
DOI: 10.1175/2008MWR2520.1

Numerical wave propagation on the hexagonal C-grid
journal, May 2008

Thuburn, J.
Journal of Computational Physics, Vol. 227, Issue 11
DOI: 10.1016/j.jcp.2008.02.010

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Similar Records

Title: Impacts of the horizontal and vertical grids on the numerical solutions of the dynamical equations – Part 2: Quasi-geostrophic Rossby modes

Abstract

Citation Formats

Rossby Wave Frequencies and Group Velocities for Finite Element and Finite Difference Approximations to the Vorticity-Divergence and the Primitive Forms of the Shallow Water Equations journal, July 1989

Impacts of the horizontal and vertical grids on the numerical solutions of the dynamical equations – Part 1: Nonhydrostatic inertia–gravity modes journal, January 2018

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Rossby Wave Frequencies and Group Velocities for Finite Element and Finite Difference Approximations to the Vorticity-Divergence and the Primitive Forms of the Shallow Water Equations
journal, July 1989

Impacts of the horizontal and vertical grids on the numerical solutions of the dynamical equations – Part 1: Nonhydrostatic inertia–gravity modes
journal, January 2018

Unification of the Anelastic and Quasi-Hydrostatic Systems of Equations
journal, February 2009

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journal, May 2008