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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


Theoretical constraints on mode reduction and the turbulence response

W. David McComb

in Homogeneous, Isotropic Turbulence: Phenomenology, Renormalization and Statistical Closures

Published in print:
2014
Published Online:
April 2014
ISBN:
9780199689385
eISBN:
9780191768255
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199689385.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

In many-body problems there is generally an interest in reducing the number of degrees of freedom necessary to describe a system. Traditionally this reduction was accomplished in one precipitous step ... More


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