Simulation methods like DSMC are efficient tools to compute rarefied g
as flows. Using supercomputers it is possible to include various real
gas effects Like vibrational energies or chemical reactions in a gas m
ixture. Nevertheless it is still necessary to improve the accuracy of
the current simulation methods in order to reduce the computational ef
fort. To support this task the paper presents a comparison of the clas
sical DSMC method with the so-called Finite Pointset Method. This new
approach was developed during several years in the framework of the Eu
ropean space project HERMES. The comparison given in the paper is base
d on two different test cases: a spatially homogeneous relaxation prob
lem and a two-dimensional axisymmetric flow problem at high Mach numbe
rs. (C) 1995 American Institute of Physics.