This paper analyzes a compressible gas flow through a microchannel, and reports a complete set of first-order analytical solutions. Thiswork represents an extension of the previouswork ofArkilic on compressibleflows through amicrochannel. First, by comparing themagnitudes of different forces in the compressible gasflow,weobtain proper estimations for the Reynolds and Mach numbers at the channel...

We construct the weakly nonlinear-dissipative approximate system for the general compressible Navier-Stokes system in a periodic domain. It was shown in [11] that because the Navier-Stokes system has an entropy structure, its approximate system will have Leray-like global weak solutions. These solutions decompose into an incompressible part governed by an incompressible Navier-Stokes system, an...

For a general class of hyperbolic-parabolic systems including the compressible NavierStokes and compressible MHD equations, we prove existence and stability of noncharacteristic viscous boundary layers for a variety of boundary conditions including classical Navier-Stokes boundary conditions. Our first main result, using the abstract framework established by the authors in the companion work [G...

A coupled double-distribution-function lattice Boltzmann method is developed for the compressible Navier-Stokes equations. Different from existing thermal lattice Boltzmann methods, this method can recover the compressible Navier-Stokes equations with a flexible specific-heat ratio and Prandtl number. In the method, a density distribution function based on a multispeed lattice is used to recove...

This article deals with the numerical solution of compressible turbulent flows in aerodynamics. Compressible turbulent flow is described by the system of Favre averaged Navier-Stokes equations, which are closed by the explicit algebraic Reynolds stress model (EARSM) of Wallin and Johansson. The averaged Navier-Stokes equations together with EARSM model of turbulence are discretized by the finit...

In this paper we investigate the question of the existence of global strong solution for the compressible Navier Stokes equations for small initial data such that the rotational part of the velocity Pu0 belongs to Ḣ N 2 −1. We show then an equivalence of the so called Fujita Kato theorem to the case of the compressible Navier-Stokes equation when we consider axisymmetric initial data in dimensi...

We consider the zero heat conductivity limit to a contact discontinuity for the mono-dimensional full compressible Navier-Stokes-Fourier system. The method is based on the relative entropy method, and do not assume any smallness conditions on the discontinuity, nor on the BV norm of the initial data. It is proved that for any viscosity ν ≥ 0, the solution of the compressible Navier-Stokes-Fouri...

Lattice Boltzmann equations (LBE) are a useful tool for simulating the incompressible Navier-Stokes equations. However, LBE actually simulate a compressible but usually isothermal fluid at some small but finite Mach number. There has been recent interest in using LBE at larger, but still subsonic, Mach numbers, for which the viscous terms in the resulting momentum equation depart appreciably fr...

We consider the barotropic Navier--Stokes system driven by a physically well-motivated transport noise in both continuity as well momentum equation. focus on three different situations: (i) is smooth time and equations are understood sense of classical weak deterministic theory, (ii) rough we interpret framework paths with unbounded drivers, (iii) have Brownian Stratonovich type study existence...

We are concerned with the Cauchy problem for two-dimensional compressible Navier-Stokes equations supplemented general H1 initial velocity and bounded density not necessarily strictly positive: it may be characteristic function of any set, instance. In perfect gas case, we establish global-in-time existence uniqueness, provided volume (bulk) viscosity coefficient is large enough. For more press...