Jets From Young Stars III

Numerical MHD and Instabilities

Silvano Massaglia, Gianluigi Bodo, Andrea Mignone , Paola Rossi

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English

Springer-Verlag Berlin and Heidelberg GmbH & Co. K
19 August 2008

Maths for scientists; Mathematical physics; Astrophysics; Maths for engineers

Series: Lecture Notes in Physics

The study of the mechanisms that govern origin and propagation of stellar jets involves the treatment of many concurrent physical processes such as gravitation, hydrodynamics and magnetohydrodynamics, atomic physics and radiation. In the past years, an intensive work has been done looking for so- tions of the ideal MHD equations in the steady state limit as well as studying the stability of out?ows in the linear regime. These kind, of approaches have provided a contribution to the understanding of jets that can hardly be ov- estimated. However, the extension of the analyses to the time-dependent and nonlinear regimes could not be avoided, and the MHD numerical simulations were the only mean to achieve this goal. Intherecentyears,considerableprogresseshavebeenmadebythecom- tational?uiddynamiccommunityinthedevelopmentofnumericaltechniques, theso-calledhighresolutionshockcapturingschemes,wellsuitedforthetre- ment of supersonic ?ows with discontinuities. The numerical simulations of astrophysical jets took advantage of these developments; however new physics needed to be incorporated, such as magnetic ?eld e?ects, radiation losses by diluted gases, and proper astrophysics environments. These needs led to the nontrivial extension of the methods devised for the Euler equations of g- dynamics to the magneto-hydrodynamical system. On the other hand, the possibility of carrying out numerical calculations has been greatly facilitated bytheavailability, ononehand,ofpowerfulsupercomputersand,ontheother hand, of fast processors at low cost. Large scale 3D simulations of jets at high resolution are now possible thanks to supercomputers, but also high reso- tion 2D MHD simulations can be performed routinely on desktop computers.

Edited by: Silvano Massaglia, Gianluigi Bodo, Andrea Mignone, Paola Rossi
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication: Germany
Edition: 2008 ed.
Volume: 754
Dimensions: Height: 235mm, Width: 155mm, Spine: 15mm
Weight: 484g
ISBN: 9783540769668
ISBN 10: 3540769668
Series: Lecture Notes in Physics
Pages: 178
Publication Date: 19 August 2008
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Numerical Methods.- Computational Methods for Hyperbolic Equations.- Shock-Capturing Schemes in Computational MHD.- Hydrodynamic and Magneto-Hydrodynamic Instabilities.- The Kelvin-Helmholtz Instability.- Pressure-Driven Instabilities in Astrophysical Jets.- Thermal Instabilities.- The Oscillatory Instability of Radiative Shock Waves.