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This concise and self-contained primer is based on class-tested notes for an advanced graduate course in MHD. The broad areas chosen for presentation are the derivation and properties of the fundamental equations, equilibrium, waves and instabilities, self-organization, turbulence, and dynamos. The latter topics require the inclusion of the effects of resistivity and nonlinearity. Together, these span the range of MHD issues that have proven to be important for understanding magnetically confined plasmas as well as in some space and astrophysical applications. The combined length and style of the thirty-eight lectures are appropriate for complete presentation in a single semester. An extensive appendix on extended MHD is included as further reading.

geofysica --- nuclear physics --- Plasma physics --- Geophysics --- vloeistoffen --- Atomic physics --- plasmafysica --- Gases handling. Fluids handling --- Astrophysics --- kernfusie (technologie) --- geophysics --- ruimtevaart --- astrofysica --- Nuclear physics --- astronomy --- astrophysics --- Nuclear energy --- Space research --- Magnetohydrodynamics --- Magneto-hydrodynamics --- MHD (Physics) --- Fluid dynamics --- Plasma dynamics

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Studying the complex physical systems of stellar jets necessitates the incorporation of nonlinear effects which occur on a wide variety of length and timescales. One of the primary methods used to study the physics of jets is numerical simulations that apply high performance computing techniques. Such techniques are also required for analysing the huge modern astrophysical datasets. This book examines those computing techniques. It is a collection of the lectures from the fifth and final school of the JETSET network, "Jets From Young Stars V: High Performance Computing in Astrophysics." It begins with an introduction to parallel programming techniques, with an emphasis on Message Passing Interface (MPI), before it goes on to review grid technology techniques and offer a practical introduction to Virtual Observatory. The second half of the book, then, is devoted to applications of high performance computing techniques, including 3D radiation transfer, to jet and star formation processes. Aimed at graduate students in astrophysics, this book presents state-of-the-art methods, thereby offering interesting new insights to researchers in the field.

Astrophysical jets --- Stellar dynamics --- Magnetohydrodynamic instabilities --- Astronomy & Astrophysics --- Astrophysics --- Physical Sciences & Mathematics --- Mathematical models --- Hydromagnetic instabilities --- Instabilities, Magnetohydrodynamic --- MHD instabilities --- Dynamics, Stellar --- Stars --- Dynamics --- Physics. --- Astrophysics. --- Space sciences. --- Extraterrestrial Physics, Space Sciences. --- Astrophysics and Astroparticles. --- Numerical and Computational Physics. --- Magnetohydrodynamics --- Plasma instabilities --- Celestial mechanics --- Jets --- Radio sources (Astronomy) --- Young stars --- High performance computing

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This concise and self-contained primer is based on class-tested notes for an advanced graduate course in MHD. The broad areas chosen for presentation are the derivation and properties of the fundamental equations, equilibrium, waves and instabilities, self-organization, turbulence, and dynamos. The latter topics require the inclusion of the effects of resistivity and nonlinearity. Together, these span the range of MHD issues that have proven to be important for understanding magnetically confined plasmas as well as in some space and astrophysical applications. The combined length and style of the thirty-eight lectures are appropriate for complete presentation in a single semester. An extensive appendix on extended MHD is included as further reading.

Magnetohydrodynamics --- Atomic Physics --- Electricity & Magnetism --- Physics --- Physical Sciences & Mathematics --- Magnetohydrodynamics. --- Fluid dynamics. --- Magneto-hydrodynamics --- MHD (Physics) --- Physics. --- Nuclear energy. --- Space sciences. --- Atoms. --- Matter. --- Plasma (Ionized gases). --- Magnetism. --- Magnetic materials. --- Applied and Technical Physics. --- Magnetism, Magnetic Materials. --- Plasma Physics. --- Atoms and Molecules in Strong Fields, Laser Matter Interaction. --- Extraterrestrial Physics, Space Sciences. --- Nuclear Energy. --- Dynamics --- Fluid mechanics --- Fluid dynamics --- Plasma dynamics --- Astrophysics. --- Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics). --- Mathematical physics --- Electricity --- Magnetics --- Astronomical physics --- Astronomy --- Cosmic physics --- Atomic energy --- Atomic power --- Energy, Atomic --- Energy, Nuclear --- Nuclear power --- Power, Atomic --- Power, Nuclear --- Force and energy --- Nuclear physics --- Power resources --- Nuclear engineering --- Nuclear facilities --- Nuclear power plants --- Science and space --- Space research --- Cosmology --- Science --- Chemistry, Physical and theoretical --- Matter --- Stereochemistry --- Gaseous discharge --- Gaseous plasma --- Magnetoplasma --- Ionized gases --- Materials --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Constitution

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Helmholtz's seminal paper on vortex motion (1858) marks the beginning of what is now called topological fluid mechanics.After 150 years of work, the field has grown considerably. In the last several decades unexpected developments have given topological fluid mechanics new impetus, benefiting from the impressive progress in knot theory and geometric topology on the one hand, and in mathematical and computational fluid dynamics on the other. This volume contains a wide-ranging collection of up-to-date, valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics, including topological vortex dynamics and magnetohydrodynamics, integrability issues, Hamiltonian structures and singularity formation, to DNA tangles and knotted DNAs in sedimentation. A substantial introductory chapter on knots and links, covering elements of modern braid theory and knot polynomials, as well as more advanced topics in knot classification, provides an invaluable addition to this material.

Fluid mechanics --- Magnetohydrodynamics --- Singularities (Mathematics) --- Braid theory --- Knot theory --- Applied Mathematics --- Engineering & Applied Sciences --- Knots (Topology) --- Braids, Theory of --- Theory of braids --- Physics. --- Dynamics. --- Ergodic theory. --- Functions of complex variables. --- Topology. --- Continuum physics. --- Classical Continuum Physics. --- Dynamical Systems and Ergodic Theory. --- Several Complex Variables and Analytic Spaces. --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Complex variables --- Elliptic functions --- Functions of real variables --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Low-dimensional topology --- Differentiable dynamical systems. --- Differential equations, partial. --- Classical and Continuum Physics. --- Partial differential equations --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Cetraro <2001>