The spectral element method for the shallow water equations on the sphere

Mark Taylor, Joseph Tribbia, Mohamed Iskandarani

Research output: Contribution to journalArticle

225 Citations (Scopus)

Abstract

The spectral element method is implemented for the shallow water equations in spherical geometry and its performance is compared with other models. This is the first step in evaluating the suitability of spectral elements for climate modeling. The potential advantages and disadvantages of spectral elements over more conventional models used for climate studies are discussed. The method requires that the sphere be tiled with rectangles, for which we make use of the gnomonic projection to map the sphere onto the cube. To measure the performance of the method relative to other models, results are presented from a standard suite of shallow water test cases for the sphere. These results confirm the spectral accuracy of the method.

Original languageEnglish (US)
Pages (from-to)92-108
Number of pages17
JournalJournal of Computational Physics
Volume130
Issue number1
StatePublished - Jan 1 1997
Externally publishedYes

Fingerprint

shallow water
gnomonic projection
climate
Water
rectangles
Geometry
geometry

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

Cite this

The spectral element method for the shallow water equations on the sphere. / Taylor, Mark; Tribbia, Joseph; Iskandarani, Mohamed.

In: Journal of Computational Physics, Vol. 130, No. 1, 01.01.1997, p. 92-108.

Research output: Contribution to journalArticle

@article{a4d7c22d21454d668ef22d996ad346c8,
title = "The spectral element method for the shallow water equations on the sphere",
abstract = "The spectral element method is implemented for the shallow water equations in spherical geometry and its performance is compared with other models. This is the first step in evaluating the suitability of spectral elements for climate modeling. The potential advantages and disadvantages of spectral elements over more conventional models used for climate studies are discussed. The method requires that the sphere be tiled with rectangles, for which we make use of the gnomonic projection to map the sphere onto the cube. To measure the performance of the method relative to other models, results are presented from a standard suite of shallow water test cases for the sphere. These results confirm the spectral accuracy of the method.",
author = "Mark Taylor and Joseph Tribbia and Mohamed Iskandarani",
year = "1997",
month = "1",
day = "1",
language = "English (US)",
volume = "130",
pages = "92--108",
journal = "Journal of Computational Physics",
issn = "0021-9991",
publisher = "Academic Press Inc.",
number = "1",

}

TY - JOUR

T1 - The spectral element method for the shallow water equations on the sphere

AU - Taylor, Mark

AU - Tribbia, Joseph

AU - Iskandarani, Mohamed

PY - 1997/1/1

Y1 - 1997/1/1

N2 - The spectral element method is implemented for the shallow water equations in spherical geometry and its performance is compared with other models. This is the first step in evaluating the suitability of spectral elements for climate modeling. The potential advantages and disadvantages of spectral elements over more conventional models used for climate studies are discussed. The method requires that the sphere be tiled with rectangles, for which we make use of the gnomonic projection to map the sphere onto the cube. To measure the performance of the method relative to other models, results are presented from a standard suite of shallow water test cases for the sphere. These results confirm the spectral accuracy of the method.

AB - The spectral element method is implemented for the shallow water equations in spherical geometry and its performance is compared with other models. This is the first step in evaluating the suitability of spectral elements for climate modeling. The potential advantages and disadvantages of spectral elements over more conventional models used for climate studies are discussed. The method requires that the sphere be tiled with rectangles, for which we make use of the gnomonic projection to map the sphere onto the cube. To measure the performance of the method relative to other models, results are presented from a standard suite of shallow water test cases for the sphere. These results confirm the spectral accuracy of the method.

UR - http://www.scopus.com/inward/record.url?scp=0030640666&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030640666&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0030640666

VL - 130

SP - 92

EP - 108

JO - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

IS - 1

ER -