Numerical Simulation of X-Rays for Electro-Magnetically Implosion Experiments

The paper describes one-dimensional simulation of radiation magneto-hydrodynamics (RMHD) (3T) for X-ray calculation of electro-magnetic implosion. The set of RMHD equations is solved with use of split tricks to avoid possible numerical instabilities due to much coupling in solving the set of highly nonlinear equations. Implicit algorithm is used to avoid small time step limitations. Newton-Raphson iteration is used to solve the set of linear algebra equations. Some special algorithms are used such as average with weight; initial value formula for iteration; setting of virtual mesh as well as automatically adjusting of time step and so on. Finally, the paper presents a computer result of an experimental model from Pegasus 1, which gets X-ray energy 15 J and power 16 GW.