Numerical Methods for Mantle Convection

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

doi:10.1016/B978-044452748-6.00118-8

Numerical Methods for Mantle Convection

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

Earth and Environmental Sciences-Twin Cities

Research output: Chapter in Book/Report/Conference proceeding › Chapter

44 Scopus citations

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 (US)
Title of host publication	Treatise on Geophysics
Publisher	Elsevier
Pages	227-252
Number of pages	26
Volume	7
ISBN (Print)	9780444527486
DOIs	https://doi.org/10.1016/B978-044452748-6.00118-8
State	Published - 2007

Keywords

Finite difference
Finite elements
Finite volume
Mantle convection
Numerical modeling
Spectral methods

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10.1016/B978-044452748-6.00118-8

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title = "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, {David A} and Moresi, {L. N.}",

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language = "English (US)",

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TY - CHAP

T1 - Numerical Methods for Mantle Convection

AU - Zhong, S. J.

AU - Yuen, David A

AU - Moresi, L. N.

PY - 2007

Y1 - 2007

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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U2 - 10.1016/B978-044452748-6.00118-8

DO - 10.1016/B978-044452748-6.00118-8

M3 - Chapter

AN - SCOPUS:80054860965

SN - 9780444527486

VL - 7

SP - 227

EP - 252

BT - Treatise on Geophysics

PB - Elsevier

ER -

Numerical Methods for Mantle Convection

Abstract

Keywords

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