Introduction to numerical geodynamic modelling / Taras V. Gerya.

Format:

Book

Author/Creator:

Gerya, Taras, author.

Language:

English

Subjects (All):

Geophysics--Mathematical models.

Geophysics.

Geodynamics--Mathematical models.

Geodynamics.

Physical Description:

1 online resource (xi, 345 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2010.

Language Note:

English

Summary:

Numerical modelling of geodynamic processes was predominantly the domain of high-level mathematicians experienced in numerical and computational techniques. Now, for the first time, students and new researchers in the Earth Sciences can learn the basic theory and applications from a single, accessible reference text. Assuming only minimal prerequisite mathematical training (simple linear algebra and derivatives) the author provides a solid grounding in basic mathematical theory and techniques, including continuum mechanics and partial differential equations, before introducing key numerical and modelling methods. 8 well-documented, state-of-the-art visco-elasto-plastic, 2-D models are then presented, which allow robust modelling of key dynamic processes such as subduction, lithospheric extension, collision, slab break-off, intrusion emplacement, mantle convection and planetary core formation. Incorporating 47 practical exercises and 67 MATLAB examples (for which codes are available online at www.cambridge.org/gerya), this textbook provides a user-friendly introduction for graduate courses or self-study, encouraging readers to experiment with geodynamic models.

Contents:

The continuity equation

Density and gravity

Numerical solutions of partial differential equations

Stress and strain

The momentum equation

Viscous rheology of rocks

Numerical solutions of the momentum and continuity equations

The advection equation marker-in-cell method

The heat conservation equation

Numerical solution of the heat conservation equation

2-D thermomechanical code structure

Elasticity and plasticity

2-D implementation of visco-elastic-plastic rheology

The multi-grid method

Programming of 3-D problems

Numerical benchmarks

Design of 2-D numerical geodynamic models.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. 326-339) and index.

ISBN:

0-511-84818-8

1-107-21165-4

0-511-76929-6

9786612652967

1-282-65296-6

0-511-80910-7

0-511-76706-4

0-511-77013-8

0-511-76567-3

0-511-76482-0

0-511-76845-1

OCLC:

645097956