Speedup of the Direct Simulation Methods for Solving the Boltzmann Equation
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It was shown in [J. Phys. Soc. Jpn. 52 (1983) 3382] that there are two theoreti-cally sound simulation methods for solving the Boltzmann equation; one isNanbu's method and the other is Belotserkovskiy and Yanitskiy's method. Theonly defect of these methods is in that the computation time is proportional to thesquare of the number of simulated molecules. Here is proposed an approximationthe use of which makes the computation time directly proportional to the numberof molecules. The essence of the approximation lies in using the collision pro babilityin Nanbu's method or the collision rate in Bslotserkovskiy and Yanitskiy's methodaveraged over local equilibrium distribution function. The error of the approxima-tion is small over a wide range of the degree of nonequilibrium.
- 社団法人日本物理学会の論文
- 1984-09-15
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