Abstract
In this paper, the nonreflecting boundary conditions based upon fundamental ideas of the linear analysis are developed for gas dynamic equations, and the modified boundary conditions for Navier-Stokes equations are proposed as a substitute of the nonreflecting boundary conditions inside boundary layers near rigid walls. These derived boundary conditions are then applied to calculations both for the Euler equations and the Navier-Stokes equations to determine if they can produce acceptable results for the subsonic flows in channels. The numerical results obtained by an implicit second-order upwind difference scheme show the effectiveness and generality of the boundary conditions. Furthermore, the formulae and the analysis performed here may be extended to three dimensional problems.
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Zonglin, J., Yaosong, C. & Kuwahara, K. Approximate nonreflecting inflow-outflow boundary conditions for the calculation of navier-stokes equations in internal flows. Acta Mech Sinica 9, 289–297 (1993). https://doi.org/10.1007/BF02486857
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DOI: https://doi.org/10.1007/BF02486857