Abstract
A dispersion-relation-preserving (DRP) scheme for computational acoustics has been developed in recent years. This scheme is of high accuracy and can preserve the original dispersion relations of governing equations so that a good global acoustic solution can be ensured. However, the scheme is usually not only very complex but also problem dependent. In this paper, a unified DRP scheme for both internal and boundary points is developed for solving the sound field radiated from a circular duct with an open end. This unified DRP scheme is further applied to obtain the sound fields numerically in three different cases, namely, without flow and flange, without flow but with flange, and with flow and flange. In addition, relevant reflection efficiencies are also predicted at various Helmholtz numbers. Satisfactory comparisons of the predicted reflection efficiencies with data from other studies are illustrated. It is also shown that the numerical method with the DRP scheme presented in the paper is successful.
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