Accuracy of model kinetic equations

Abstract

The accuracy of model kinetic equations is analyzed using the exact moment solutions of the Boltzmann–Maxwell equation for homoenergetic affine flows of a monatomic gas of Maxwellian molecules in the absence of external forces. Solutions of the third-order kinetic-moment equations for homogeneous shear flow and one-dimensional homogeneous expansion-collapse flow are considered. The principal advantages of the domestic Shakhov and, especially, Larina–Rykov models are demonstrated.