A Correction to this paper has been published: https://doi.org/10.1038/s41579-021-00522-x.

We consider the method-of-moments approach to solve Boltzmann equation of rarefied gas dynamics, which results in following moment-closure problem. Given a set moments, find underlying probability density function. The problem has infinitely many solutions and requires an additional optimality criterion single-out unique solution. Motivated from discontinuous Galerkin velocity discretization, w...

In many applications, the heat flux at surface is known instead of temperature. addition, in some like vacuum drying or high altitude flights, pressure below atmospheric pressure, so rarefaction effects become important, and therefore, Navier-Stokes-Fourier equations fail to predict gas thermal behavior. this paper, a constant boundary condition developed implemented frame Shakhov model kinetic...

In this paper, we use a lattice Boltzmann model (LBM) for simulation of rarefied gas flows in microchannels at high and moderate Knudsen numbers. The lattice Boltzmann method uses D2Q9 lattice structure and BGK collision operator with single relaxation time. The solid wall boundary conditions used in this paper are based on the idea of bounceback of the nonequilibrium part of particle distribut...

This paper presents a systematic approach to the calculation of heat transfer in rarefied gases (Knudsen numbers between 0.01 and 1) by means of Grad's moment method with high moment numbers, based on the Boltzmann equation with linearized collision term. The problem of describing boundary conditions for the moments is solved by the use of the so-called kinetic schemes that allow the implementa...