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Prof.dr J.P. Goedbloed

Magnetohydrodynamics of laboratory and astrophysical plasmas

 

Research

The study of magnetohydrodynamics (MHD) of waves, instabilities, and supersonic flows of magnetized plasmas has been conducted for many years in the separate disciplines of laboratory fusion research and plasma-astrophysics. Yet, these widely separate physical situations are described by the same equations! This offers numerous common viewpoints for research of plasmas in the coronae of sun and stars, magnetospheres about planets and about pulsars, accretion disks about compact objects, the winds and jets ejected from them, etc. Since the early nineties, this starting point has been the basis of a multitude of collaborative efforts between FOM Rijnhuizen and the Utrecht Astronomy Department on Coronal plasma dynamics, Parallel Magneto-Fluid Dynamics, Rapid Changes in Complex Flows (with additional input from numerical mathematics, fluid dynamics, and physical informatics), and Magnetoseismology of accretion disks. At present, the studies of magnetized plasmas are continued with both linear (with an important analytical component) and nonlinear (numerical) techniques.

MHD spectroscopy and transonic MHD flows.

The linear efforts concentrate on spectral analysis of MHD waves and instabilities: MHD spectroscopy has become a new powerful tool for plasma diagnostics (analogous to helioseismology) for different astrophysical systems (sunspots, coronal flux tubes, accretion disks, and jets). It has also led to a general set of state-of-the-art spectral codes for the analysis of MHD waves and instabilities for realistic laboratory experiments and astrophysical objects. The fundamental aspects of stationary MHD flows with transonic transitions through the critical MHD speeds proved to present many obstacles in understanding the subtleties of plasma dynamics. Having resolved those, permitted reinvestigating the MHD waves and instabilities of axisymmetric rotating plasmas with new numerical techniques. This activity is presently producing a veritable abundance of new instabilities of interest for the production of turbulence and angular momentum transport in accretion disks about compact objects.

Nonlinear dynamics.

The numerical effort concentrates on three-dimensional MHD modeling of laboratory plasma flows, stellar winds, astrophysical jets, and accretion flows, with coupling between the linear stability properties of the moving magnetized systems and the evolution towards discontinuous, shock-dominated, nonlinear dynamics. It exploits the Versatile Advection Code (VAC), developed by Gabor Tóth as part of the Massively Parallel Computing project mentioned above, which is a fully implicit, shock-capturing, and massively parallel MHD solver that bridges the huge time-scale disparities encountered in realistic astrophysical simulations. Designed to permit inclusion of almost all present discretization methods, it became an extremely versatile research instrument which is used by a rapidly increasing number of scientists, here and abroad. The code was steadily developed further by Rony Keppens (head of the Rijnhuizen Numerical Plasma Dynamics group), and applied to basic plasma dynamics like the Kelvin-Helmholtz instability and jets, solar and stellar winds (producing the anisotropy observed by the Ulysses spacecraft), and recently extended with adaptive mesh refinement and a relativistic module: another step towards simulating realistic astrophysical plasma flows.

Teaching

The course on Magnetohydrodynamics of Astrophysical Plasmas has been transformed into a regular annual course, which is part of the masters curriculum. With the completion of the textbook Principles of Magnetohydrodynamics, with Applications to Laboratory and Astrophysical Plasmas (Cambridge University Press, Cambridge, 2004), by Hans Goedbloed and Stefaan Poedts, and the extension of the course with a numerical laboratory by Rony Keppens, the common field of magnetohydrodynamics of laboratory and astrophysical plasmas is now getting the momentum that we have dreamed of for a long time.

Our new textbook just appeared: Principles of Magnetohydrodynamics

This textbook provides a modern and accessible introduction to magnetohydrodynamics (MHD). It describes the two main applications of plasma physics, laboratory research on thermo-nuclear fusion energy and plasma astrophysics of the solar system, stars and accretion disks, from the single viewpoint of MHD. This approach provides effective methods and insights for the interpretation of plasma phenomena on virtually all scales, from the laboratory to the universe. It equips the reader with the necessary tools to understand the complexities of plasma dynamics in extended magnetic structures. The classical MHD model is developed in detail without omitting steps in the derivations and problems are included at the end of each chapter. This text is ideal for senior-level undergraduate and graduate courses in plasma physics and astrophysics.

See also the Workshops site at the bottom (right).

Contact staff

FOM Rijnhuizen page

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