Abstract
The discretization errors of majorant frequency scheme (MFS) based Direct simulation Monte Carlo (DSMC) are analyzed numerically and compared to known results for no‐time‐counter (NTC) scheme DSMC on the example of the Fourier problem. Independence of error from an average number of particles in a cell is confirmed for MFS. Convergence on time step and cell size in MFS is verified to be second order as in NTC. New criterion for the number of model particles is proposed, invariant on local density and, in simplest case, coming to product of the mean number of particles in a cell and the number of cells along the local mean free path. First order convergence on the criterion value is demonstrated for both 1D and 2D grids.
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