Numerical Computation of Stiff Systems for Nonequilibrium Ionization Problems
In the study of physics, many problems require to investigate the nonequilibrium ionization processes. For example, some material is irradiated by laser, then the plasma with low density and higher temperature may be produced. The radiation and the material are in nonequilibrium states. If the target is made of high Z elements, the electrons are ionized generally not completly. In order to study the absorption of laser energy, plasma dynamics and specially the transformation from laser into x-ray, one consider the ionizability and electron distribution with different occupation states. To describe such physical phenomena, the fluid dynamics systems, multi-group energy equations of photons, electrons, ions and equations for electron occupation probabilities are considered. There are nonlinear coupled ordinary and partial differential equations, which have much different time scales. It is a large scale scientific computing problem.
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