Hybrid Vlasov-MHD models: Hamiltonian vs. non-Hamiltonian
This paper investigates hybrid kinetic-magnetohydrodynamic (MHD) models, where a hot plasma (governed by a kinetic theory) interacts with a fluid bulk (governed by MHD). Different nonlinear coupling schemes are reviewed, including the pressure-coupling scheme (PCS) used in modern hybrid simulations. This latter scheme suffers from being non-Hamiltonian and is unable to exactly conserve total energy. Upon adopting the Vlasov description for the hot component, the non-Hamiltonian PCS and a Hamiltonian variant are compared. Special emphasis is given to the linear stability of Alfvén waves, for which it is shown that a spurious instability appears at high frequency in the non-Hamiltonian version. This instability is removed in the Hamiltonian version.
Plasma Physics and Controlled Fusion
- Pub Date:
- September 2014
- Physics - Plasma Physics;
- Physics - Fluid Dynamics
- 11 pages, 2 figures. To appear in Plasma Phys. Control. Fusion