Forces on Small Particles in Nonhomogeneous Polyatomic Gases

Cauchy Problem for the Ellipsoidal Bgk Model for Polyatomic Particles

The derivation of the celebrated Boltzmann equations relies heavily on the assumption that the gas consists of monatomic particles, which is not the case for most of the realistic gases. Efforts to derive Boltzmann type kinetic models soon confront with the difficulty that it is virtually impossible to write the pre and post collision velocities in an explicit form, since polyatomic molecules c...

Kinetic model and moment method for polyatomic gases

A model kinetic equation for accurate description of rarefied polyatomic gases is introduced. The collisions of polyatomic gas particles are modeled by a two term collision operator, one modeling only exchange of translational energy and the other modeling exchange of both translational and internal energies. The proposed kinetic model, which is an extension of the Rykov and Shakov models, pred...

Internal Forces in Piles “Under External Forces and Earthquake in Homogeneous and Nonhomogeneous Media”

Internal Forces in Piles “Under External Forces and Earthquake in Homogeneous and Nonhomogeneous Media”

Two routes from the Boltzmann equation to compressible flow of polyatomic gases

This paper presents a systematic approach to simulating compressible flow of polyatomic gases using the Boltzmann equation for a discrete set of particle velocities. We derive the complete system of moment equations needed to recover the Navier–Stokes–Fourier equations. One may either circumvent the usual relation between pressure and internal energy density by assigning additional energies to ...