Global modelling of the ocean and atmosphere using the spectral element method

Dale B. Haidvogel, Enrique Curchitser, Mohamed Iskandarani, Rowan Hughes, Mark Taylor

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

The use of spectral methods now has a long history in global atmospheric modelling wherein the attractive properties of Fourier series on spheres, including higher-order convergence rates and efficient implementation via the transform method, have proven advantageous. Partially offsetting these advantages, however, are several competing disadvantages. Two of these, the appearance of Gibbs oscillations for localized processes (e.g., orographic interactions) and the difficulty of mapping spectral techniques onto parallel computer architectures, are inherent to the global nature of these techniques. A third drawback, the restriction of these methods to regular geometries, has severely limited their application to the modelling of the large-scale ocean circulation. We describe a global circulation model that has, in principle, none of these limitations. The model utilizes the spectral element method that combines the geometrical flexibility of traditional finite element methods with the rapid convergence rates of spectral approximation techniques. Simple test problems drawn from both oceanic and atmospheric modelling are used to demonstrate that the resulting model is exponentially convergent, yet allows effective representation of irregular geometry and efficient grid refinement in regions of dynamical interest. Lastly, performance characteristics on the nCUBE/2 and Cray T3D architectures confirm that the element model is ideally suited to the parallel computing environment.

Original languageEnglish (US)
Pages (from-to)505-531
Number of pages27
JournalAtmosphere - Ocean
Volume35
DOIs
StatePublished - Jan 1 1997
Externally publishedYes

Fingerprint

atmospheric modeling
atmosphere
ocean
modeling
parallel computing
geometry
finite element method
transform
oscillation
method
history
rate
ocean circulation
test

ASJC Scopus subject areas

  • Oceanography
  • Atmospheric Science

Cite this

Global modelling of the ocean and atmosphere using the spectral element method. / Haidvogel, Dale B.; Curchitser, Enrique; Iskandarani, Mohamed; Hughes, Rowan; Taylor, Mark.

In: Atmosphere - Ocean, Vol. 35, 01.01.1997, p. 505-531.

Research output: Contribution to journalArticle

Haidvogel, Dale B. ; Curchitser, Enrique ; Iskandarani, Mohamed ; Hughes, Rowan ; Taylor, Mark. / Global modelling of the ocean and atmosphere using the spectral element method. In: Atmosphere - Ocean. 1997 ; Vol. 35. pp. 505-531.
@article{884e0bd0ad0b41a188930f3ad10d76ff,
title = "Global modelling of the ocean and atmosphere using the spectral element method",
abstract = "The use of spectral methods now has a long history in global atmospheric modelling wherein the attractive properties of Fourier series on spheres, including higher-order convergence rates and efficient implementation via the transform method, have proven advantageous. Partially offsetting these advantages, however, are several competing disadvantages. Two of these, the appearance of Gibbs oscillations for localized processes (e.g., orographic interactions) and the difficulty of mapping spectral techniques onto parallel computer architectures, are inherent to the global nature of these techniques. A third drawback, the restriction of these methods to regular geometries, has severely limited their application to the modelling of the large-scale ocean circulation. We describe a global circulation model that has, in principle, none of these limitations. The model utilizes the spectral element method that combines the geometrical flexibility of traditional finite element methods with the rapid convergence rates of spectral approximation techniques. Simple test problems drawn from both oceanic and atmospheric modelling are used to demonstrate that the resulting model is exponentially convergent, yet allows effective representation of irregular geometry and efficient grid refinement in regions of dynamical interest. Lastly, performance characteristics on the nCUBE/2 and Cray T3D architectures confirm that the element model is ideally suited to the parallel computing environment.",
author = "Haidvogel, {Dale B.} and Enrique Curchitser and Mohamed Iskandarani and Rowan Hughes and Mark Taylor",
year = "1997",
month = "1",
day = "1",
doi = "10.1080/07055900.1997.9687363",
language = "English (US)",
volume = "35",
pages = "505--531",
journal = "Atmosphere - Ocean",
issn = "0705-5900",
publisher = "Canadian Meteorologcial and Oceanographic Society",

}

TY - JOUR

T1 - Global modelling of the ocean and atmosphere using the spectral element method

AU - Haidvogel, Dale B.

AU - Curchitser, Enrique

AU - Iskandarani, Mohamed

AU - Hughes, Rowan

AU - Taylor, Mark

PY - 1997/1/1

Y1 - 1997/1/1

N2 - The use of spectral methods now has a long history in global atmospheric modelling wherein the attractive properties of Fourier series on spheres, including higher-order convergence rates and efficient implementation via the transform method, have proven advantageous. Partially offsetting these advantages, however, are several competing disadvantages. Two of these, the appearance of Gibbs oscillations for localized processes (e.g., orographic interactions) and the difficulty of mapping spectral techniques onto parallel computer architectures, are inherent to the global nature of these techniques. A third drawback, the restriction of these methods to regular geometries, has severely limited their application to the modelling of the large-scale ocean circulation. We describe a global circulation model that has, in principle, none of these limitations. The model utilizes the spectral element method that combines the geometrical flexibility of traditional finite element methods with the rapid convergence rates of spectral approximation techniques. Simple test problems drawn from both oceanic and atmospheric modelling are used to demonstrate that the resulting model is exponentially convergent, yet allows effective representation of irregular geometry and efficient grid refinement in regions of dynamical interest. Lastly, performance characteristics on the nCUBE/2 and Cray T3D architectures confirm that the element model is ideally suited to the parallel computing environment.

AB - The use of spectral methods now has a long history in global atmospheric modelling wherein the attractive properties of Fourier series on spheres, including higher-order convergence rates and efficient implementation via the transform method, have proven advantageous. Partially offsetting these advantages, however, are several competing disadvantages. Two of these, the appearance of Gibbs oscillations for localized processes (e.g., orographic interactions) and the difficulty of mapping spectral techniques onto parallel computer architectures, are inherent to the global nature of these techniques. A third drawback, the restriction of these methods to regular geometries, has severely limited their application to the modelling of the large-scale ocean circulation. We describe a global circulation model that has, in principle, none of these limitations. The model utilizes the spectral element method that combines the geometrical flexibility of traditional finite element methods with the rapid convergence rates of spectral approximation techniques. Simple test problems drawn from both oceanic and atmospheric modelling are used to demonstrate that the resulting model is exponentially convergent, yet allows effective representation of irregular geometry and efficient grid refinement in regions of dynamical interest. Lastly, performance characteristics on the nCUBE/2 and Cray T3D architectures confirm that the element model is ideally suited to the parallel computing environment.

UR - http://www.scopus.com/inward/record.url?scp=85013720096&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85013720096&partnerID=8YFLogxK

U2 - 10.1080/07055900.1997.9687363

DO - 10.1080/07055900.1997.9687363

M3 - Article

AN - SCOPUS:85013720096

VL - 35

SP - 505

EP - 531

JO - Atmosphere - Ocean

JF - Atmosphere - Ocean

SN - 0705-5900

ER -