The impetus of this paper is to present an evaluation of the performance a newly suggested collision scheme called Generalized Bernoulli Trail (GBT) in the nanocavity test case. The Kac stochastic equation is the starting point of the derivation of the Bernoulli Trail (BT), Balot Box (BB), Simplified Bernoulli Trial (SBT) and GBT schemes [1]. Variants of the Bernoulli Trail (BT) schemes such as BB and SBT reduce the number of selected pairs to check for a possible binary collision while they keep the accuracy of the solution in comparison with the original BT scheme. The number of considered pairs for a possible collision per each cell in the above-mentioned schemes varies between N(N-1)/2 in BT, 1 in BB, and (N-1) in SBT, where N is the number of particles per cell. The GBT scheme is aimed to work with any desired number of collision pairs, e.g., Nsel<N-1. This new collision scheme proposed in [2] further reduces the computational effort of the SBT collision model if the number of simulator particles is not small. In this research, rarefied flow in a lid-driven nanocavity is simulated to evaluate the performance of the GBT scheme using various Nsel magnitudes. Our GBT results are compared with the SBT solution in terms of accuracy and computational efficiency

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