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Astrophysical fluid dynamics

  • Gordon I. Ogilvie (a1)

Abstract

These lecture notes and example problems are based on a course given at the University of Cambridge in Part III of the Mathematical Tripos. Fluid dynamics is involved in a very wide range of astrophysical phenomena, such as the formation and internal dynamics of stars and giant planets, the workings of jets and accretion discs around stars and black holes and the dynamics of the expanding Universe. Effects that can be important in astrophysical fluids include compressibility, self-gravitation and the dynamical influence of the magnetic field that is ‘frozen in’ to a highly conducting plasma. The basic models introduced and applied in this course are Newtonian gas dynamics and magnetohydrodynamics (MHD) for an ideal compressible fluid. The mathematical structure of the governing equations and the associated conservation laws are explored in some detail because of their importance for both analytical and numerical methods of solution, as well as for physical interpretation. Linear and nonlinear waves, including shocks and other discontinuities, are discussed. The spherical blast wave resulting from a supernova, and involving a strong shock, is a classic problem that can be solved analytically. Steady solutions with spherical or axial symmetry reveal the physics of winds and jets from stars and discs. The linearized equations determine the oscillation modes of astrophysical bodies, as well as their stability and their response to tidal forcing.

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Copyright

Corresponding author

Email address for correspondence: gio10@cam.ac.uk

References

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Bondi, H. 1952 On spherically symmetrical accretion. Mon. Not. R. Astron. Soc. 112, 195204.
Bondi, H. 1960 Cosmology, 2nd edn. Cambridge University Press.
Chandrasekhar, S. 1969 Ellipsoidal Figures of Equilibrium. Yale University Press.
Lamb, H. 1932 Hydrodynamics, 6th edn. Cambridge University Press.
Le Bellac, M. & Lévy-Leblond, J. M. 1973 Galilean electromagnetism. Nuovo Cimento B 14, 217234.
Ogilvie, G. I. & Livio, M. 1998 On the difficulty of launching an outflow from an accretion disk. Astrophys. J. 499, 329339.
Parker, E. N. 1958 Dynamics of the interplanetary gas and magnetic fields. Astrophys. J. 128, 664676.
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Astrophysical fluid dynamics

  • Gordon I. Ogilvie (a1)

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