Spectral problems for the discrete velocity models

Abstract:

We use the discrete velocity models to study the spectral problems related to the 1D plane wave propagation in monatomic gases which are fundamental in the rarefied gases dynamics and nonequilibrium statistical thermodynamics. The results show that 6- and 8-velocity models can only capture the propagation of diffusion mode (entropy wave) in the intermediate Knudsen number regime. 4-velocity model instead captures the propagation of sound mode quite well after the comparison with the continuum-mechanic results.