✍ Scribed by Á. Körösmezey; C.E. Rasmussen; T.I. Gombosi; Bram vanLeer
No coin nor oath required. For personal study only.
A numerical solution has been found for the hyperbolic initial-value problem, which follows from the 16 -moment set of equations describing the transport of a plasma in a strong magnetic field. In addition to the time-dependent evolution of mass and momentum, these equations describe the variations in anisotropic temperatures and heat fluxes for both ion and electron species. The numerical solution employs a high-order Godunov method to achieve third-order accuracy in space and second-order accuracy in time. The method includes an approximate Riemann solver which is suitable for a system of equations that cannot entirely be expressed in conservation form. In addition, a new technique has been developed to overcome the stiffness that occurs in regions where plasma flows are strongly reactive. Simple test cases showing correct wave behavior are presented. (i) 1993 Academic Press. Inc.
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