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Description

The increasing power of computer resources along with great improvements in observational data in recent years have led to some remarkable and rapid advances in astrophysical fluid dynamics. The subject spans three distinct but overlapping communities whose interests focus on (1) accretion discs and high-energy astrophysics; (2) solar, stellar, and galactic magnetic fields; and (3) the geodynamo, planetary magnetic fields, and associated experiments. This book grew out of a special conference sponsored by the London Mathematical Society with the support of EPSRC that brought together leading researchers in all of these areas to exchange ideas and review the status of the field.

The many interesting problems addressed in this volume concern:

Contents

ACCRETION DISCS, Gordon I. Ogilvie

Classical theory of accretion discs

Angular momentum transport

Continuum celestial mechanics

DISCS WITH MHD TURBULENCE AND THEIR RESPONSE TO ORBITING PLANETS, John C.B. Papaloizou and Richard P. Nelson

Set up of initial models

Simulation results

Discussion

MIXING AT THE SURFACE OF WHITE DWARF STARS, R. Rosner and A. Alexakis

Previous work on mixing

An alternative: mixing at boundaries by "wind"-driven resonant modes

Conclusions

PULSAR MAGNETOSPHERES, Leon Mestel

Basic electrodynamics

Models with pair production

Live models

The S(P) relation

The inner domain

Computational results

Alternative models

Magnetospheric gaps

MAGNETIC FIELDS IN GALAXIES, Ellen G. Zweibel

Galactic structure

Observations of Galactic magnetic fields

Galaxy formation and magnetogenesis

Building blocks of Galactic magnetic fields

Summary and outlook

SELF-CONSISTENT MEAN FIELD ELECTRODYNAMICS IN TWO AND THREE DIMENSIONS, P H. Diamond, D. W. Hughes and Eun-jin Kim

Turbulent diffusion of magnetic fields

The generation of magnetic fields

Momentum and flux transport in 2D MHD

Concluding remarks

THE SOLAR TACHOCLINE: FORMATION, STABILITY AND ITS ROLE IN THE SOLAR DYNAMO, S. M. Tobias

Properties of the solar tachocline

Why is the solar tachocline so thin?

Instabilities of the solar tachocline

The tachocline and the solar dynamo

Discussion and conclusion

MAGNETOCONVECTION, M.R.E. Proctor

The induction equation and the Lorentz force

Boussinesq magnetoconvection in a vertical field

Nonlinear Boussinesq magnetoconvection

Strong magnetic fields

Shearing instabilities and streaming flows

Convection in extended regions

Effects of stratification

Discussion

ALFVÉN WAVES WITHIN THE EARTH'S CORE, D. Jault and G. L´egaut

Propagation of Alfv´en waves within an entirely

fluid spherical body

Topographical effects at the CMB

Influence of a conducting inner core

Concluding remarks

TURBULENCE MODELS AND PLANE LAYER DYNAMOS, C.A. Jones and P.H. Roberts

Background to the LANS o-models

Model description and governing equations

The hyperdiffusive and the LANS o-models

Subgrid scale boundary conditions

Linear theory

Numerical simulations

Conclusions

PLANETARY AND STELLAR DYNAMOS: CHALLENGES FOR NEXT GENERATION MODELS, Gary A. Glatzmaier

Current 3D geodynamo simulations

Laminar approximations of turbulent flows

2D Turbulent magnetoconvection simulations

Discussion

CONVECTION IN ROTATING SPHERICAL FLUID SHELLS AND ITS DYNAMO STATES, F.H. Busse and R. Simitev

Mathematical formulation of the problem

Convection in rotating spherical shells

Evolution of convection columns at small Prandtl numbers

Convection at very small Prandtl numbers

Convection driven dynamos at moderate Prandtl numbers

Convection driven dynamos in low Prandtl number fluids

Torsional oscillations

Oscillating dipolar dynamos

Discussion and outlook

LABORATORY EXPERIMENTS ON LIQUID METAL DYNAMOS AND LIQUID METAL MHD TURBULENCE, Stephan Fauve and Daniel P. Lathrop

Self-generation in Riga and Karlsruhe

Generating a fully three-dimensional turbulent flow in a compact volume

Motivations for rapidly rotating flows

Concluding remarks

INDEX

Name: Fluid Dynamics and Dynamos in Astrophysics and Geophysics (Hardback)CRC Press 
Description: Edited by Andrew M. Soward, Christopher A. Jones, David W. Hughes, Nigel O. WeissContributors: Gordon I. Ogilvie, John C.B. Papaloizou, Robert Rosner, Leon Mestel, Ellen G. Zweibel, Patrick H. Diamond, Steven M. Tobias, Michael R.E. Proctor, Dominique Jault, Paul H. Roberts, Gary A. Glatzmaier, Friedrich H. Busse, Stephan Fauve, Richard P. Nelson, Alexandros Alexakis, Eun-jin Kim, Gedeon Legaut, Radostin Simitev, Daniel D. Lathrop. The increasing power of computer resources along with great improvements in observational data in recent years have led to some remarkable and rapid advances in astrophysical fluid dynamics. The subject spans three distinct but overlapping communities...
Categories: Applied Physics, Fluid Mechanics, Mathematical Physics