| Summary: | 碩士 === 國立中央大學 === 數學研究所 === 100 === Since plasma is widely applied and plays an important role in many industrial and biomedical fields, the fundamental understandings of plasma is becoming more and more essential for practical applications. Due to the high costs of physical experiments and high difficulties on measurements, numerical simulations is needed for predictions or validations. For studying the low-discharged plasma which is under low-temperature (~300K) and pressure is not too low (> 50 mTorr), fluid model is one suitable tool for simulations. For the advance in computer hardware and parallel computing, the computational runtime of a plasma simulation can be reduced.
However, the computational efficiency of linear system solvers and performance on parallel computing are still issues, since the multi-dimensional (2- or 3-dimensional) simulations and considerations of complex chemistry are often required for a realistic plasma simulation to cope with practical problems and applications.
In this thesis, we give the derivations of semi-implicit scheme and present some results of a simulation case while KSP (Krylov-subspace) iterative methods are applied with or without multigrid method is applied as a preconditioner. As conclusions of this thesis, we make some comparisons and comments for the efficiency with application of multigrid methods to plasma fluid modeling simulations. Finally, we state the future works for some aspects such as researches on multigrid mehtods and developments of parallel fluid modeling code.
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