Nonreflecting boundary conditions for one-dimensional problems of viscous gas dynamics

Abstract

The article models external problems of gas dynamics on artificially bounded regions. Various descriptions of viscous gas are considered: Navier–Stokes equations and varieties of the quasi-gas-dynamic system. In the linear one-dimensional approximation we investigate the characteristics of harmonic waves propagating in a viscous medium and their reflection from artificial boundaries in subsonic flow. We discuss methods for the construction of boundary conditions for viscous gas dynamic systems in the form of modified nonreflecting conditions for Euler equations. Examples of conditions on inflow and outflow boundaries are given. The boundary conditions for linear equation systems are adapted to nonlinear problems. We conduct simulation of the problem to determine the stabilization of a steady shockwave profile in viscous gas.