ボルツマン方程式解析の緩和計算過程の最適化

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  • Optimization of Iteration Processes in a Boltzmann Equation Analysis
  • ボルツマン ホウテイシキ カイセキ ノ カンワ ケイサン カテイ ノ サイテキ

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A Boltzmann equation as a mathematical model of an electron swarm in a gas is generally solved by using numerical method because of its nonlinearity. In actual numerical calculation, several conditions such as the upper limit of electron energy should be given and needed to be optimized for execution of accurate and efficient calculation. To search optimal conditions, iteration processes in which a procedure for revision of the value associated with a condition is repeated until the optimal value is obtained, are generally used. Various experiential methods have been used for iteration processes in many previous cases and any attempts for optimization of a process have not been made yet, however the authors have been trying to optimize the method and analysis.<br>In this paper, a new method for optimization of iteration processes suggested by the authors is developed. More than one process can be optimized by using this method in whicha technique of modern control theory is adopted. Applying this method to determination of the upper limit of electron energy and to convergence of ionization coefficient, the iteration number of calculation decreased under all of various physical calculation conditions for a swarm comparing with the case previous methods which optimize only one process are used.

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