Continued Development of the Discontinuous Galerkin Method for Computational Aeroacoustic Applications

نویسنده

  • H. L. Atkins
چکیده

The formulation and the implementation of boundary conditions within the context of the quadrature-free form of the discontinuous Galerkin method are presented for several types of boundary conditions for the Euler equations. An important feature of the discontinuous Galerkin method is that the interior point algorithm is well behaved in the neighborhood of the boundary and requires no modi cations. This feature leads to a simple and accurate treatment for wall boundary conditions and simple in ow and out ow boundary conditions. Curved walls are accurately treated with only minor changes to the implementation described in earlier work. The \perfectly matched layer" approach to nonre ecting boundary conditions is easily applied to the discontinuous Galerkin. The compactness of the discontinuous Galerkin method makes it better suited for bu er-zone-type methods than high-order nite-di erence methods. Results are presented for wall, characteristic in ow and out ow, and nonreecting boundary conditions.

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تاریخ انتشار 1997