Physics of MACH2Win
The physical processes modeled in MACH2Win
include those essential to effective simulation of plasma pulsed power
experiments at high energy densities, so long as the plasma may be assumed to
remain quasi-neutral and displacement current effects may be neglected.
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The MHD includes
the effect of the Lorentz and pressure forces, and magnetic field transport
by fluid motion, resistive diffusion, and the Hall effect. All three
components of magnetic field and velocity are included, subject only to the
assumption of cylindrical or planar symmetry. MACH2 is thus capable of
handling cylindrical problems with both toroidal and poloidal magnetic
fields as well as swirling flow.
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The plasma is modeled as
being in local thermodynamic equilibrium with separate electron and ion
temperatures, using ideal gas or real equations of state chosen from the Los
Alamos SESAME tables.
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Energy transport
is modeled by radiation diffusion using a separate radiation temperature and
by electron and ion thermal diffusion.
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Equilibrium
radiation diffusion, a reduced model for energy transport appropriate for
thick, high density plasma in which the radiation, electron, and ion
temperatures are assumed to be in equilibrium, is also available. Also
available is emissive cooling, another reduced model appropriate for thin
low-density plasmas.
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Transport
properties available include Spitzer resistivity and thermal conductivity,
with their full tensor character caused by magnetic field effects. Other
analytic models may be used, or these and other transport properties such as
opacity and average ionization may be taken from the Los Alamos Sesame
tables. User-created tabular equations of state and transport properties in
SESAME format may also be used.
The numerical algorithms in MACH2 are highly advanced. The
numerically-generated boundary-fitted grid is Arbitrary Lagrangian/Eulerian, and
may be dynamically adapted to capture flow features of particular interest. The
spatial differencing is finite volume. The implicit hydrodynamic algorithm makes
it possible to take time-steps three to ten times the explicit Courant limit,
significantly increasing the smoothness and reducing the unimportant noise an
explicit algorithm generates. The diffusive processes are also time-advanced
implicitly using a multigrid elliptic/ parabolic solver. All of these algorithms
are fully compatible with the multiblock architecture which makes possible
MACH2's geometric flexibility.
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