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A tokamak pertinent analytic equilibrium with plasma flow of arbitrary direction
D. A. Kaltsas, A. Kuiroukidis, G. N. Throumoulopoulos
An analytic solution to a generalized Grad-Shafranov equation with flow of arbitrary direction is obtained upon adopting the generic linearizing ansatz for the free functions relat…
A discrete Nambu bracket for 2D extended Magnetohydrodynamics
D. A. Kaltsas, M. Kraus, G. N. Throumoulopoulos
In this note we propose a trilinear bracket formulation for the Hamiltonian extended Magnetohydrodynamics (XMHD) model with homogeneous mass density. The corresponding two-dimensio…
Energy-Casimir, dynamically accessible, and Lagrangian stability of extended magnetohydrodynamic equilibria
D. A. Kaltsas, G. N. Throumoulopoulos, P. J. Morrison
The formal stability analysis of Eulerian extended magnetohydrodynamics (XMHD) equilibria is considered within the noncanonical Hamiltonian framework by means of the energy-Casimir…
2D magnetofluid models constructed by a priori imposition of conservation laws
D. A. Kaltsas, G. N. Throumoulopoulos
Motivated by a geometric method employed for the derivation of the Nambu bracket for ideal two-dimensional incompressible hydrodynamics, we reconstruct the reduced magnetohydrodyna…
Ellipticity conditions for the extended MHD Grad-Shafranov-Bernoulli equilibrium equations
D. A. Kaltsas, G. N. Throumoulopoulos, P. J. Morrison
In this study, we find the points of transition between elliptic and hyperbolic regimes for the axisymmetric extended magnetohydrodynamic (MHD) equilibrium equations. The elliptici…
A generalized Grad-Shafranov equation with plasma flow under a conformal coordinate transformation
A. Kuiroukidis, D. Kaltsas, G. N. Throumoulopoulos
We employ a conformal mapping transformation to solve a generalized Grad-Shafranov equation with incompressible plasma flow of arbitrary direction and construct particular up-down…