Author: Frederick C. Rock
Publisher:
ISBN:
Category : Plasma (Ionized gases)
Languages : en
Pages : 194
Book Description
Magnetohydrodynamic Stability of Structurally Stable Toroidal Plasmas
Author: Frederick C. Rock
Publisher:
ISBN:
Category : Plasma (Ionized gases)
Languages : en
Pages : 194
Book Description
Publisher:
ISBN:
Category : Plasma (Ionized gases)
Languages : en
Pages : 194
Book Description
Magnetohydrodynamic Stability of a Toroidal Plasma Structure
Perturbing Macroscopic Magnetohydrodynamic Stability for Toroidal Plasmas
Magnetohydrodynamic Stability of Tokamaks
Author: Hartmut Zohm
Publisher: John Wiley & Sons
ISBN: 3527677348
Category : Science
Languages : en
Pages : 254
Book Description
This book bridges the gap between general plasma physics lectures and the real world problems in MHD stability. In order to support the understanding of concepts and their implication, it refers to real world problems such as toroidal mode coupling or nonlinear evolution in a conceptual and phenomenological approach. Detailed mathematical treatment will involve classical linear stability analysis and an outline of more recent concepts such as the ballooning formalism. The book is based on lectures that the author has given to Master and PhD students in Fusion Plasma Physics. Due its strong link to experimental results in MHD instabilities, the book is also of use to senior researchers in the field, i.e. experimental physicists and engineers in fusion reactor science. The volume is organized in three parts. It starts with an introduction to the MHD equations, a section on toroidal equilibrium (tokamak and stellarator), and on linear stability analysis. Starting from there, the ideal MHD stability of the tokamak configuration will be treated in the second part which is subdivided into current driven and pressure driven MHD. This includes many examples with reference to experimental results for important MHD instabilities such as kinks and their transformation to RWMs, infernal modes, peeling modes, ballooning modes and their relation to ELMs. Finally the coverage is completed by a chapter on resistive stability explaining reconnection and island formation. Again, examples from recent tokamak MHD such as sawteeth, CTMs, NTMs and their relation to disruptions are extensively discussed.
Publisher: John Wiley & Sons
ISBN: 3527677348
Category : Science
Languages : en
Pages : 254
Book Description
This book bridges the gap between general plasma physics lectures and the real world problems in MHD stability. In order to support the understanding of concepts and their implication, it refers to real world problems such as toroidal mode coupling or nonlinear evolution in a conceptual and phenomenological approach. Detailed mathematical treatment will involve classical linear stability analysis and an outline of more recent concepts such as the ballooning formalism. The book is based on lectures that the author has given to Master and PhD students in Fusion Plasma Physics. Due its strong link to experimental results in MHD instabilities, the book is also of use to senior researchers in the field, i.e. experimental physicists and engineers in fusion reactor science. The volume is organized in three parts. It starts with an introduction to the MHD equations, a section on toroidal equilibrium (tokamak and stellarator), and on linear stability analysis. Starting from there, the ideal MHD stability of the tokamak configuration will be treated in the second part which is subdivided into current driven and pressure driven MHD. This includes many examples with reference to experimental results for important MHD instabilities such as kinks and their transformation to RWMs, infernal modes, peeling modes, ballooning modes and their relation to ELMs. Finally the coverage is completed by a chapter on resistive stability explaining reconnection and island formation. Again, examples from recent tokamak MHD such as sawteeth, CTMs, NTMs and their relation to disruptions are extensively discussed.
Scientific and Technical Aerospace Reports
Magnetohydrodynamic Stability of Spheromak Plasma in Toroidal Flux Conserver with Rectangular Cross Section III
Author: Shobu Kaneko
Publisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 14
Book Description
Publisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 14
Book Description
Magnetohydrodynamic Stability of Spheromak Plasma in Toroidal Flux Conserver with Rectangular Cross Section
Numerical Solutions of Magnetohydrodynamic Stability of Axisymmetric Toroidal Plasmas Using Cubic B-spline Finite Element Method
Numerical Solutions of Magnetohydrodynamic Stability of Axisymmetric Toroidal Plasmas Using Cubic B-spline Finite Element Method
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
A nonvariational ideal MHD stability code (NOVA) has been developed. In a general flux coordinate ([psi], theta, [zeta]) system with an arbitrary Jacobian, the NOVA code employs Fourier expansions in the generalized poloidal angle theta and generalized toroidal angle [zeta] directions, and cubic-B spline finite elements in the radial [psi] direction. Extensive comparisons with these variational ideal MHD codes show that the NOVA code converges faster and gives more accurate results. An extended version of NOVA is developed to integrate non-Hermitian eigenmode equations due to energetic particles. The set of non-Hermitian integro-differential eigenmode equations is numerically solved by the NOVA-K code. We have studied the problems of the stabilization of ideal MHD internal kink modes by hot particle pressure and the excitation of ''fishbone'' internal kink modes by resonating with the energetic particle magnetic drift frequency. Comparisons with analytical solutions show that the values of the critical .beta./sub h/ from the analytical theory can be an order of magnitude different from those computed by the NOVA-K code. 24 refs., 11 figs., 1 tab.
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
A nonvariational ideal MHD stability code (NOVA) has been developed. In a general flux coordinate ([psi], theta, [zeta]) system with an arbitrary Jacobian, the NOVA code employs Fourier expansions in the generalized poloidal angle theta and generalized toroidal angle [zeta] directions, and cubic-B spline finite elements in the radial [psi] direction. Extensive comparisons with these variational ideal MHD codes show that the NOVA code converges faster and gives more accurate results. An extended version of NOVA is developed to integrate non-Hermitian eigenmode equations due to energetic particles. The set of non-Hermitian integro-differential eigenmode equations is numerically solved by the NOVA-K code. We have studied the problems of the stabilization of ideal MHD internal kink modes by hot particle pressure and the excitation of ''fishbone'' internal kink modes by resonating with the energetic particle magnetic drift frequency. Comparisons with analytical solutions show that the values of the critical .beta./sub h/ from the analytical theory can be an order of magnitude different from those computed by the NOVA-K code. 24 refs., 11 figs., 1 tab.
Magnetohydrodynamics of Plasma Relaxation
Author: S. Ortolani
Publisher: World Scientific
ISBN: 9789810208608
Category : Science
Languages : en
Pages : 208
Book Description
This book gives a concise description of the phenomenon of plasma relaxation from the point of view of resistive magnetohydrodynamic (MHD) theory. Magnetized plasmas relax when they seek their natural state of lowest energy subject to certain topological constraints imposed by the magnetic field. Relaxation may be fast and dynamic or slow and gradual depending on the external environment in which the magnetoplasma system evolves. Relaxation occurs throughout the universe and may describe such diverse phenomena as dynamos, solar flares, and the operation of magnetic fusion energy experiments. This book concentrates on the dynamic, rather than variational aspects of relaxation. While the processes described are general, the book focuses on the reversed-field pinch experiment as a paradigm for plasma relaxation and dynamo action. Examples from other branches of plasma physics are also discussed. The authors draw upon their extensive experience in numerical and experimental studies of relaxation.
Publisher: World Scientific
ISBN: 9789810208608
Category : Science
Languages : en
Pages : 208
Book Description
This book gives a concise description of the phenomenon of plasma relaxation from the point of view of resistive magnetohydrodynamic (MHD) theory. Magnetized plasmas relax when they seek their natural state of lowest energy subject to certain topological constraints imposed by the magnetic field. Relaxation may be fast and dynamic or slow and gradual depending on the external environment in which the magnetoplasma system evolves. Relaxation occurs throughout the universe and may describe such diverse phenomena as dynamos, solar flares, and the operation of magnetic fusion energy experiments. This book concentrates on the dynamic, rather than variational aspects of relaxation. While the processes described are general, the book focuses on the reversed-field pinch experiment as a paradigm for plasma relaxation and dynamo action. Examples from other branches of plasma physics are also discussed. The authors draw upon their extensive experience in numerical and experimental studies of relaxation.