Various methods for solving Boltzmann equation are discussed in this paper. After analyzing the advantagesit and shortcomings of each method, it is shown that at present the direct simulation Monte-Carlo method is the best approach to solving rarefied gas dynamic problems.
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Chen Weifang, Wu Qifen. Methods for Solving Boltzmann Equation[J]. Journal of National University of Defense Technology,1999,21(1):4-7.