โ Scribed by A.E. Korolev; V.E. Yanitskii
No coin nor oath required. For personal study only.
An algorithm for simulting collisional relaxation by a Bernoulli test scheme, proposed previously for a simple gas, is generalized to chemically non-interacting mixtures of gases by introducing weighting factors, which enables processes with quite different component concentrations to be calculated effectively.
In addition to the well-known Bird method /i/ for solving rarefied-gas problems, other methods of direct statistical modelling have been developed to solve this type of problem, and also to extend the applications of these methods /2--6/.
It was suggested in /2/ that the collisional relaxation process could be approximated by a Poisson process; this approach was used in /5,6/ to simulate spatially uniform relaxation in mixtures of gases.
From the computational point of view the algorithm for simulating collisions by the Bernoulli test scheme /3/ is more effective, and is also much clearer physically.
Its advantages over the Bird schemes are considerable when solving problems with three spatial variables and a time dependence /4/.
In this paper we use weighting factors in a simulation scheme with Bernoulli tests /i/. This approach enables processes to be calculated in which there are quite different concentrations of the components, in which the components are represented by the same number of particles ~Y.
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