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Linear Stability Analysis

Gary A. Glatzmaier

in Introduction to Modeling Convection in Planets and Stars: Magnetic Field, Density Stratification, Rotation

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691141725
eISBN:
9781400848904
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691141725.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter describes a linear stability analysis (that is, solving for the critical Rayleigh number Ra and mode) that allows readers to check their linear codes against the analytic solution. For ... More


Postprocessing

Gary A. Glatzmaier

in Introduction to Modeling Convection in Planets and Stars: Magnetic Field, Density Stratification, Rotation

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691141725
eISBN:
9781400848904
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691141725.003.0005
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter explains how to write a postprocessing code, and more specifically how to study the nonlinear simulations using computer graphics and analysis. It first considers how to compute and ... More


Thermally Driven Flows

David Jon Furbish

in Fluid Physics in Geology: An Introduction to Fluid Motions on Earth’s Surface and Within its Crust

Published in print:
1997
Published Online:
November 2020
ISBN:
9780195077018
eISBN:
9780197560358
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195077018.003.0020
Subject:
Earth Sciences and Geography, Geophysics: Earth Sciences

Recall that we briefly examined the stability of thermally stratified fluids in Chapter 6. Our essential conclusion was that a condition in which hot, light fluid resides beneath cooler, heavier ... More


Transport and External Field Effects

Irving R. Epstein and John A. Pojman

in An Introduction to Nonlinear Chemical Dynamics: Oscillations, Waves, Patterns, and Chaos

Published in print:
1998
Published Online:
November 2020
ISBN:
9780195096705
eISBN:
9780197560815
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195096705.003.0015
Subject:
Chemistry, Physical Chemistry

Thus far, we have implicitly assumed that chemical species move only by diffusion. In fact, a number of external forces can affect mass transport, with significant and interesting effects on ... More


Lower-Order Spectral Model

T. N. Krishnamurti, H. S. Bedi, and V. M. Hardiker

in An Introduction to Global Spectral Modeling

Published in print:
1998
Published Online:
November 2020
ISBN:
9780195094732
eISBN:
9780197560761
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195094732.003.0007
Subject:
Earth Sciences and Geography, Meteorology and Climatology

This system was first developed by Lorenz (1960b). It is an elegant system that provides an introduction to the concepts of spectral modeling, based on the use of double Fourier series ... More


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