Abstract
We present computations using orientation-free discrete velocitymodels for the dispersion relationship of ultrasound propagation inmonatomic hard-sphere gases (or a type of gas composed of a system ofvortices). Comparisons with previous verified fixed-orientationresults for the propagation of the sound mode in rarefied gases showthat, if collective excitations are considered, an orientation-freeeight-velocity model can capture more physical insights. We alsodemonstrate the symmetry property of the spectra using theorientation-free eight-velocity model.
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