This article presents the boundary conditions for the problem of turbulent supersonic gas flow in a plane channel with a perpendicular injection jets. The non-reflection boundary conditions for direct modeling of compressible viscous gases are studied. A formulation using the NSCBC (NavierStocks characteristic boundary conditions) through boundaries is derived for the subsonic inflow and subson...

This paper presents the development of a three-dimensional high-order solver with unstructured spectral difference method. The solver employs the formulations of Sun et al. It is implemented on unstructured hexahedral grid elements. It is firstly validated using test problems of 2D and 3D subsonic inviscid flows past a circular cylinder. The spectral difference method constructs element-wise co...

The Cauchy problem of a multidimensional (d 2) compressible viscous liquid-gas two-phase flow model is studied in this paper. We investigate the global existence and uniqueness of the strong solution for the initial data close to a stable equilibrium and the local-in-time existence and uniqueness of the solution with general initial data in the framework of Besov spaces. A continuation criterio...

The relationship between the compressible magnetohydrodynamic flows with low Mach number and the incompressible magnetohydrodynamic flows is investigated. More precisely, the convergence of weak solutions of the compressible isentropic viscous magnetohydrodynamic equations to the weak solutions of the incompressible viscous magnetohydrodynamic equations is proved as the density becomes constant...

The Cauchy problem for one-dimensional flow of a compressible viscous heat-conducting micropolar fluid is considered. It is assumed that the fluid is thermodynamically perfect and polytropic. A corresponding initial-boundary value problem has a unique strong solution on ]0, 1[×]0, T [, for each T > 0. By using this result we construct a sequence of approximate solutions which converges to a sol...

Finite element method (FEM) was used for numerical simulation of the airflow field in a simplified model of the human vocal tract for vowel /a:/ with prescribed periodic oscillations of the vocal folds. The viscous fluid is modeled by 2D compressible Navier-Stokes equations in Arbitrary LagrangianEulerian (ALE) formulation and considering the turbulence. The computed flow field pattern is compa...

We prove the existence and uniqueness of global strong solutions to the one dimensional, compressible Navier-Stokes system for the viscous and heat conducting ideal polytropic gas flow, when heat conductivity depends on temperature in power law of Chapman-Enskog. The results reported in this article is valid for initial boundary value problem with non-slip and heat insulated boundary along with...

The present paper deals with the continuous work of extending multi-dimensional limiting process (MLP) for higher-order discontinuous Galerkin (DG) methods to compute compressible Navier-Stokes equation. From the previous works, it was observed that the MLP shows several superior characteristics, such as efficient controlling of multi-dimensional oscillations and accurate capturing of complex f...