7.05 - Numerical Methods for Mantle Convection

S. J. Zhong; D. A. Yuen; L. N. Moresi

doi:10.1016/B978-044452748-6.00118-8

7.05 - Numerical Methods for Mantle Convection

S. J. Zhong, D. A. Yuen, L. N. Moresi

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

1 Citation (Scopus)

Abstract

This chapter discusses the commonly used numerical methods in modeling mantle convection. While the general principles of finite-difference, finite-volume, and spectral methods are presented, the focus is on finite-element methods and their implementation. Additionally, the chapter also discusses general strategies in modeling geophysical processes including solid-phase transitions, thermal convection of multiple chemical components, and thermal convection with a power-law rheology.

Original language	English
Title of host publication	Treatise on Geophysics
Subtitle of host publication	Volume 1-10
Publisher	Elsevier
Pages	227-252
Number of pages	26
Volume	1-10
ISBN (Electronic)	9780444527486
ISBN (Print)	9780444519283
DOIs	https://doi.org/10.1016/B978-044452748-6.00118-8
Publication status	Published - 1 Jan 2007
Externally published	Yes

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title = "7.05 - Numerical Methods for Mantle Convection",

abstract = "This chapter discusses the commonly used numerical methods in modeling mantle convection. While the general principles of finite-difference, finite-volume, and spectral methods are presented, the focus is on finite-element methods and their implementation. Additionally, the chapter also discusses general strategies in modeling geophysical processes including solid-phase transitions, thermal convection of multiple chemical components, and thermal convection with a power-law rheology.",

keywords = "Finite difference, Finite elements, Finite volume, Mantle convection, Numerical modeling, Spectral methods",

author = "Zhong, {S. J.} and Yuen, {D. A.} and Moresi, {L. N.}",

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AU - Yuen, D. A.

AU - Moresi, L. N.

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Y1 - 2007/1/1

N2 - This chapter discusses the commonly used numerical methods in modeling mantle convection. While the general principles of finite-difference, finite-volume, and spectral methods are presented, the focus is on finite-element methods and their implementation. Additionally, the chapter also discusses general strategies in modeling geophysical processes including solid-phase transitions, thermal convection of multiple chemical components, and thermal convection with a power-law rheology.

AB - This chapter discusses the commonly used numerical methods in modeling mantle convection. While the general principles of finite-difference, finite-volume, and spectral methods are presented, the focus is on finite-element methods and their implementation. Additionally, the chapter also discusses general strategies in modeling geophysical processes including solid-phase transitions, thermal convection of multiple chemical components, and thermal convection with a power-law rheology.

KW - Finite difference

KW - Finite elements

KW - Finite volume

KW - Mantle convection

KW - Numerical modeling

KW - Spectral methods

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DO - 10.1016/B978-044452748-6.00118-8

M3 - Chapter

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SN - 9780444519283

VL - 1-10

SP - 227

EP - 252

BT - Treatise on Geophysics

PB - Elsevier

ER -

7.05 - Numerical Methods for Mantle Convection

Abstract

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