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A quantum interatomic scattering is implemented in the direct simulationMonte Carlo (DSMC) method applied to transport phenomena in rarefied gases. Incontrast to the traditional DSMC method based on the classical scattering, theproposed implementation allows us to model flows of gases over the wholetemperature range beginning from 1 K up any high temperature when no ionizationhappens. To illustrate the new numerical approach, two helium isotopes $^3$Heand $^4$He were considered in two canonical problems, namely, heat transferbetween two planar surfaces and planar Couette flow. To solve these problems,the ab initio potential for helium is used, but the proposed technique can beused with any intermolecular potential. The problems were solved over thetemperature range from 1 K to 3000 K and for two values of the rarefactionparameter 1 and 10. The former corresponds to the transitional regime and thelast describes the temperature jump and velocity slip regime. No influence ofthe quantum effects was detected within the numerical error of 0.1 % for thetemperature 300 K and higher. However, the quantum approach requires lesscomputational effort than the classical one in this temperature range. Fortemperatures lower than 300 K, the influence of the quantum effects exceed thenumerical error and reaches 67 % at the temperature of 1 K.

Modelling of transport phenomena in gases based on quantum scattering