A hybrid Galerkin atmospheric model

S. J. Thomas; A. St-Cyr; R. D. Nair

A hybrid Galerkin atmospheric model

S. J. Thomas, A. St-Cyr, R. D. Nair

Cooperative Programs for the Advancement of Earth System Science

National Center for Atmospheric Research

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The purpose of this paper is to explore a time-split hybrid Galerkin scheme for the atmospheric shallow water equations. A nonlinear variant of operator integration factor splitting is employed as the time-stepping scheme. The hyperbolic system representing slow modes is discretized using the discontinuous Galerkin method. An implicit second-order backward differentiation formula is applied to Coriolis and gravity wave terms. The implicit system is then discretized using a spectral element or continuous Galerkin method. The advantages of such an approach include improved mass and energy conservation properties. A TVD Runge-Kutta scheme is used for sub-stepping.

Original language	English
Title of host publication	3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
Pages	876-880
Number of pages	5
State	Published - 2005
Event	3rd M.I.T. Conference on Computational Fluid and Solid Mechanics - Boston, MA, United States Duration: Jun 14 2005 → Jun 17 2005

Publication series

Name	3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

Conference

Conference	3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
Country/Territory	United States
City	Boston, MA
Period	06/14/05 → 06/17/05

Keywords

High-order methods
Integration factor
Shallow water equations

Cite this

@inproceedings{1031cda68e434d42ba641430421b02c0,

title = "A hybrid Galerkin atmospheric model",

abstract = "The purpose of this paper is to explore a time-split hybrid Galerkin scheme for the atmospheric shallow water equations. A nonlinear variant of operator integration factor splitting is employed as the time-stepping scheme. The hyperbolic system representing slow modes is discretized using the discontinuous Galerkin method. An implicit second-order backward differentiation formula is applied to Coriolis and gravity wave terms. The implicit system is then discretized using a spectral element or continuous Galerkin method. The advantages of such an approach include improved mass and energy conservation properties. A TVD Runge-Kutta scheme is used for sub-stepping.",

keywords = "High-order methods, Integration factor, Shallow water equations",

author = "Thomas, \{S. J.\} and A. St-Cyr and Nair, \{R. D.\}",

year = "2005",

language = "English",

isbn = "0080444814",

series = "3rd M.I.T. Conference on Computational Fluid and Solid Mechanics",

pages = "876--880",

booktitle = "3rd M.I.T. Conference on Computational Fluid and Solid Mechanics",

note = "3rd M.I.T. Conference on Computational Fluid and Solid Mechanics ; Conference date: 14-06-2005 Through 17-06-2005",

}

TY - GEN

T1 - A hybrid Galerkin atmospheric model

AU - Thomas, S. J.

AU - St-Cyr, A.

AU - Nair, R. D.

PY - 2005

Y1 - 2005

N2 - The purpose of this paper is to explore a time-split hybrid Galerkin scheme for the atmospheric shallow water equations. A nonlinear variant of operator integration factor splitting is employed as the time-stepping scheme. The hyperbolic system representing slow modes is discretized using the discontinuous Galerkin method. An implicit second-order backward differentiation formula is applied to Coriolis and gravity wave terms. The implicit system is then discretized using a spectral element or continuous Galerkin method. The advantages of such an approach include improved mass and energy conservation properties. A TVD Runge-Kutta scheme is used for sub-stepping.

AB - The purpose of this paper is to explore a time-split hybrid Galerkin scheme for the atmospheric shallow water equations. A nonlinear variant of operator integration factor splitting is employed as the time-stepping scheme. The hyperbolic system representing slow modes is discretized using the discontinuous Galerkin method. An implicit second-order backward differentiation formula is applied to Coriolis and gravity wave terms. The implicit system is then discretized using a spectral element or continuous Galerkin method. The advantages of such an approach include improved mass and energy conservation properties. A TVD Runge-Kutta scheme is used for sub-stepping.

KW - High-order methods

KW - Integration factor

KW - Shallow water equations

UR - https://www.scopus.com/pages/publications/80053456274

M3 - Conference contribution

AN - SCOPUS:80053456274

SN - 0080444814

SN - 9780080444819

T3 - 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

SP - 876

EP - 880

BT - 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

T2 - 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

Y2 - 14 June 2005 through 17 June 2005

ER -

A hybrid Galerkin atmospheric model

Abstract

Publication series

Conference

Keywords

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