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Lectures, 10x2h on magnetohydrodynamics.
In this course I give an overview of MHD from the practitioner's point of
view.
We cover the following:
-Short review of classical electrodynamics
-Physics of plasmas, kinetic theory, derivation of General Ohm’s law
-Alfven waves
-Dynamo, reconnection
-Hydrodynamic and hydromagnetic instabilities (…, MRI)
-Classical examples of instabilities in laboratory
-Classical problems, Hartmann flow
-Numerical simulations of turbulence (hands-on)
During the final part of lectures, the participants will perform
numerical simulations in the exercise part od lectures,
studying MHD instabilities with the PLUTO code or other code of their choice.
Literature:
R. Courant & K.O. Friedrichs, Supersonic Flow and Schock Waves, Interscience Publishers Inc. , New York, 1948
U. Frisch, Turbulence, Cambridge University Press, 1955
D. J. Griffiths, Introduction to Electrodynamics, 4th ed, Pearson Education, Inc., 2013
J.D. Jackson, Classical Electrodynamics, 3rd ed., John Wiley & Sons Inc., 1962
L.D. Landau & E.M. Lifshitz, Vol. 6, Fluid Mechanics, Pergamon Press, Oxford, UK, 1959
L. D. Landau and E. M. Lifschitz, Electrodynamics of Continuous Media, Pergamon Press,
Oxford, UK, 1960
Dalton D. Schnack, Lectures in Magnetohydrodynamics: With an Appendix on Extended
MHD, Lect. Notes Phys. 780 (Springer, Berlin Heidelberg 2009), DOI 10.1007/ 978-3-642-
00688-3
M. Vietri, Foundations of High-Energy Astrophysics, The University of Chicago Press, 2008Frank, King & Raine, „Accretion power in astrophysics”
Kato, Fukue & Mineshige, "Black-Hole Accretion Disks: Towards a New
Paradigm"
-Physics of plasmas, kinetic theory, derivation of General Ohm’s law
-Alfven waves
-Dynamo, reconnection
-Hydrodynamic and hydromagnetic instabilities (…, MRI)
-Classical examples of instabilities in laboratory
-Classical problems, Hartmann flow
-Numerical simulations of turbulence (hands-on)
During the final part of lectures, the participants will perform numerical simulations in the exercise part od lectures,
studying MHD instabilities with the PLUTO code or other code of their choice.
R. Courant & K.O. Friedrichs, Supersonic Flow and Schock Waves, Interscience Publishers Inc. , New York, 1948
U. Frisch, Turbulence, Cambridge University Press, 1955
D. J. Griffiths, Introduction to Electrodynamics, 4th ed, Pearson Education, Inc., 2013
J.D. Jackson, Classical Electrodynamics, 3rd ed., John Wiley & Sons Inc., 1962
L.D. Landau & E.M. Lifshitz, Vol. 6, Fluid Mechanics, Pergamon Press, Oxford, UK, 1959
L. D. Landau and E. M. Lifschitz, Electrodynamics of Continuous Media, Pergamon Press, Oxford, UK, 1960
Dalton D. Schnack, Lectures in Magnetohydrodynamics: With an Appendix on Extended
MHD, Lect. Notes Phys. 780 (Springer, Berlin Heidelberg 2009), DOI 10.1007/ 978-3-642- 00688-3
M. Vietri, Foundations of High-Energy Astrophysics, The University of Chicago Press, 2008Frank, King & Raine, „Accretion power in astrophysics”
Kato, Fukue & Mineshige, "Black-Hole Accretion Disks: Towards a New Paradigm"