Abstract
An energy functional given by W {integral}{integral}{integral}d{sup 3}x(B{sup 2}/(2{mu}{sub o}) + p/({Gamma} - 1)) is proposed as a variational principle to determine three-dimensional (3D) magnetohydrodynamic (MHD) equilibria with anisotropic plasma pressure. It is demonstrated that the minimisation of W using an inverse coordinate spectral method reproduces the force balance relations that govern the MHD equilibrium properties of 3D plasmas with p {ne} p that have nested magnetic flux surfaces. Numerical procedures already developed for the scalar pressure model can be easily extended to the anisotropic pressure model. Specifically, a steepest descent procedure coupled with the application of a preconditioning algorithm to improve the convergence behaviour has been employed to minimise the energy of the system. The numerical generation of 3 D torsatron equilibria with highly localised anisotropic pressure distributions attests to the robustness of method of solution considered. (author) 4 figs., 1 tab., 23 refs.
Cooper, W A;
[1]
Hirshman, S P;
[2]
Merazzi, S;
[3]
Gruber, R
[4]
- Ecole Polytechnique Federale, Lausanne (Switzerland). Centre de Recherche en Physique des Plasma (CRPP)
- Oak Ridge National Lab., TN (United States). Fusion Engineering Design Center
- Ecole Polytechnique Federale, Inst. de Machines Hydrauliques et de Mecanique des Fluides, Lausanne (Switzerland)
- Gruppo Applicazione Scientifiche della Svizzera, Centro Svizzero di Calcolo Scientifico, Manno (Switzerland)
Citation Formats
Cooper, W A, Hirshman, S P, Merazzi, S, and Gruber, R.
3D magnetohydrodynamic equilibria with anisotropic pressure.
Switzerland: N. p.,
1992.
Web.
Cooper, W A, Hirshman, S P, Merazzi, S, & Gruber, R.
3D magnetohydrodynamic equilibria with anisotropic pressure.
Switzerland.
Cooper, W A, Hirshman, S P, Merazzi, S, and Gruber, R.
1992.
"3D magnetohydrodynamic equilibria with anisotropic pressure."
Switzerland.
@misc{etde_10157590,
title = {3D magnetohydrodynamic equilibria with anisotropic pressure}
author = {Cooper, W A, Hirshman, S P, Merazzi, S, and Gruber, R}
abstractNote = {An energy functional given by W {integral}{integral}{integral}d{sup 3}x(B{sup 2}/(2{mu}{sub o}) + p/({Gamma} - 1)) is proposed as a variational principle to determine three-dimensional (3D) magnetohydrodynamic (MHD) equilibria with anisotropic plasma pressure. It is demonstrated that the minimisation of W using an inverse coordinate spectral method reproduces the force balance relations that govern the MHD equilibrium properties of 3D plasmas with p {ne} p that have nested magnetic flux surfaces. Numerical procedures already developed for the scalar pressure model can be easily extended to the anisotropic pressure model. Specifically, a steepest descent procedure coupled with the application of a preconditioning algorithm to improve the convergence behaviour has been employed to minimise the energy of the system. The numerical generation of 3 D torsatron equilibria with highly localised anisotropic pressure distributions attests to the robustness of method of solution considered. (author) 4 figs., 1 tab., 23 refs.}
place = {Switzerland}
year = {1992}
month = {Mar}
}
title = {3D magnetohydrodynamic equilibria with anisotropic pressure}
author = {Cooper, W A, Hirshman, S P, Merazzi, S, and Gruber, R}
abstractNote = {An energy functional given by W {integral}{integral}{integral}d{sup 3}x(B{sup 2}/(2{mu}{sub o}) + p/({Gamma} - 1)) is proposed as a variational principle to determine three-dimensional (3D) magnetohydrodynamic (MHD) equilibria with anisotropic plasma pressure. It is demonstrated that the minimisation of W using an inverse coordinate spectral method reproduces the force balance relations that govern the MHD equilibrium properties of 3D plasmas with p {ne} p that have nested magnetic flux surfaces. Numerical procedures already developed for the scalar pressure model can be easily extended to the anisotropic pressure model. Specifically, a steepest descent procedure coupled with the application of a preconditioning algorithm to improve the convergence behaviour has been employed to minimise the energy of the system. The numerical generation of 3 D torsatron equilibria with highly localised anisotropic pressure distributions attests to the robustness of method of solution considered. (author) 4 figs., 1 tab., 23 refs.}
place = {Switzerland}
year = {1992}
month = {Mar}
}