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Numerical Solutions Of Magnetohydrodynamic Stability Of Axisymmetric Toroidal Plasmas Using Cubic B Spline Finite Element Method
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Book Synopsis Numerical Solutions of Magnetohydrodynamic Stability of Axisymmetric Toroidal Plasmas Using Cubic B-spline Finite Element Method by : C. Z. Cheng
Download or read book Numerical Solutions of Magnetohydrodynamic Stability of Axisymmetric Toroidal Plasmas Using Cubic B-spline Finite Element Method written by C. Z. Cheng and published by . This book was released on 1988 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Solutions of Magnetohydrodynamic Stability of Axisymmetric Toroidal Plasmas Using Cubic B-spline Finite Element Method by :
Download or read book Numerical Solutions of Magnetohydrodynamic Stability of Axisymmetric Toroidal Plasmas Using Cubic B-spline Finite Element Method written by and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Energy Research Abstracts written by and published by . This book was released on 1990 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the ... International Conference on Finite Element Methods in Flow Problems by :
Download or read book Proceedings of the ... International Conference on Finite Element Methods in Flow Problems written by and published by . This book was released on 1989 with total page 1624 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Kinetic Extensions of Magnetohydrodynamic Models for Axisymmetric Toroidal Plasmas by :
Download or read book Kinetic Extensions of Magnetohydrodynamic Models for Axisymmetric Toroidal Plasmas written by and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A nonvariational kinetic-MHD stability code (NOVA-K) has been developed to integrate a set of non-Hermitian integro-differential eigenmode equations due to energetic particles for axisymmetric toroidal plasmas in a general flux coordinate system with an arbitrary Jacobian. The NOVA-K code employs the Galerkin method involving 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 the existing variational ideal MHD codes show that the ideal MHD version of the NOVA-K code converges faster and gives more accurate results. The NOVA-K code is employed to study the effects of energetic particles on MHD-type modes: the stabilization of ideal MHD internal kink modes and the excitation of ''fishbone'' internal kink modes; and the alpha particle destabilization of toroidicity-induced Alfven eigenmodes (TAE) via transit resonances. Analytical theories are also presented to help explain the NOVA-K results. For energetic trapped particles generated by neutral beam injection (NBI) or ion cyclotron resonant heating (ICRH), a stability window for the n = 1 internal kink mode in the hot particle beta space exists even in the absence of the core ion finite Larmor radius effect. On the other hand, the trapped alpha particles are found to have negligible effects on the stability of the n = 1 internal kink mode, but the circulating alpha particles can strongly destabilize TAE modes via inverse Landau damping associated with the spatial gradient of the alpha particle pressure. 60 refs., 24 figs., 1 tab.
Download or read book NOVA written by and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A nonvariational approach for determining the ideal MHD stability of axisymmetric toroidal confinement systems is presented. The code (NOVA) employs cubic B-spline finite elements and Fourier expansion in a general flux coordinate (psi, theta, zeta) system. Better accuracy and faster convergence were obtained in comparison with the variational PEST and ERATO codes. The nonvariational approach can be extended to problems having non-Hermitian eigenmode equations where variational energy principles cannot be obtained.
Book Synopsis The Computation of Resistive MHD Instabilities in Axisymmetric Toroidal Plasmas by :
Download or read book The Computation of Resistive MHD Instabilities in Axisymmetric Toroidal Plasmas written by and published by . This book was released on 1991 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: We describe the linear MHD eigenmode code NOVA-R, which calculates the resistive stability of axisymmetric toroidal equilibria. A formulation has been adopted which accurately resolves the continuum spectrum of the ideal MHD operator. The resistive MHD stability equations are transformed into three coupled second order equations, one of which recovers the equation solved by the NOVA code in the ideal limit. The eigenfunctions are represented by a Fourier expansion and cubic B-spline finite elements which are packed about the internal boundary layer. Accurate results are presented for dimensionless resistivities as low as 10−3° in cylindrical geometry. For axisymmetric toroidal plasmas we demonstrate the accuracy of the NOVA-R code by recovering ideal results in the? 2!0 limit, and cylindrical resistive interchange results in the a/R 2!limit.???????? analysis performed using the eigenfunctions computed by the NOVA-R code agree with the asymptotic matching results from the resistive PEST code for zero beta equilibria. 33 refs., 30 figs.
Book Synopsis Government Reports Announcements & Index by :
Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1989-08 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Government reports annual index by :
Download or read book Government reports annual index written by and published by . This book was released on 199? with total page 1362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Ideal MHD Stability Calculations in Axisymmetric Toroidal Coordinate Systems by :
Download or read book Ideal MHD Stability Calculations in Axisymmetric Toroidal Coordinate Systems written by and published by . This book was released on 1982 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A scalar form of the ideal MHD energy principle is shown to provide a more accurate and efficient numerical method for determining the stability of an axisymmetric toroidal equilibrium than the usual vector form. Additional improvement is obtained by employing a class of straight magnetic field line flux coordinates which allow for an optimal choice of the poloidal angle in the minor cross section of the torus. The usefulness of these techniques is illustrated by a study (using a new code, PEST 2) of the convergence properties of the finite element Galerkin representation in tokamak and spheromak geometries, and by the accurate determination of critical .beta. values for ballooning modes.
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1990 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics Briefs written by and published by . This book was released on 1990 with total page 1286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Numerical Determination of Ideal MHD Limits of Stability of Axisymmetric Toroidal Configurations by :
Download or read book On the Numerical Determination of Ideal MHD Limits of Stability of Axisymmetric Toroidal Configurations written by and published by . This book was released on 1981 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1988 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Determination of Axisymmetric Toroidal Magnetohydrodynamic Equilibria by :
Download or read book Numerical Determination of Axisymmetric Toroidal Magnetohydrodynamic Equilibria written by and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical schemes for the determination of stationary axisymmetric toroidal equilibria appropriate for modeling real experimental devices are given. Iterative schemes are used to solve the elliptic nonlinear partial differential equation for the poloidal flux function psi. The principal emphasis is on solving the free boundary (plasma-vacuum interface) equilibrium problem where external current-carrying toroidal coils support the plasma column, but fixed boundary (e.g., conducting shell) cases are also included. The toroidal current distribution is given by specifying the pressure and either the poloidal current or the safety factor profiles as functions of psi. Examples of the application of the codes to tokamak design at PPPL are given.
Download or read book Plasma Physics Index written by and published by . This book was released on 1972 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Documentation of Plasma Physics. Pt. 1, Experimental Plasma Physics [and] Theoretical Plasma Physics by :
Download or read book Documentation of Plasma Physics. Pt. 1, Experimental Plasma Physics [and] Theoretical Plasma Physics written by and published by . This book was released on 1972 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt:
![Download Documentation of Plasma Physics. Pt. 1, Experimental Plasma Physics [and] Theoretical Plasma Physics PDF Online Free](https://books.google.com/books/content/images/frontcover/FhEwAQAAIAAJ?fife=w200-h370)
