Plasma Physics Seminar
Description
Max Ruth, U. Texas - AustinÂ
A Statistical Magnetohydrodynamic Equilibrium Model
Magnetohydrodynamic (MHD) equilibrium solutions relevant to stellarators can develop current sheets a surfaces of resonant rotational transform. Such currents violate the length-scale assumptions of MHD and lead to non- or slow convergence of numerical methods under refinement. In this talk, we will show how the introduction of magnetic fluctuations in the MHD variational principal results in a magnetic Reynolds stress. By including more physics, this stress improves the conditioning of the equilibrium problem, leading to convergent numerical methods. We demonstrate this through a numerical solver for the equilibrium problem with convergent force-balance.
A Statistical Magnetohydrodynamic Equilibrium Model
Magnetohydrodynamic (MHD) equilibrium solutions relevant to stellarators can develop current sheets a surfaces of resonant rotational transform. Such currents violate the length-scale assumptions of MHD and lead to non- or slow convergence of numerical methods under refinement. In this talk, we will show how the introduction of magnetic fluctuations in the MHD variational principal results in a magnetic Reynolds stress. By including more physics, this stress improves the conditioning of the equilibrium problem, leading to convergent numerical methods. We demonstrate this through a numerical solver for the equilibrium problem with convergent force-balance.