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Artificial boundary conditions for two-dimensional equations of fluid dynamics. 1. Convective wave equation

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Abstract

The article models external flow problems on artificially bounded regions. In the linear approximation we examine the reflection of acoustic waves in a moving medium, incident at various angles on a fixed boundary. We consider the construction of various boundary conditions and estimate their reflecting properties for plane waves and waves from point sources. The plane wave approximation is justified theoretically. A method is proposed for estimating the integral reflection coefficient for waves with a whole range of incidence angles.

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Translated from Prikladnaya Matematika i Informatika, No. 24, pp. 76–110, 2006.

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Dorodnitsyn, L.V. Artificial boundary conditions for two-dimensional equations of fluid dynamics. 1. Convective wave equation. Comput Math Model 18, 282–309 (2007). https://doi.org/10.1007/s10598-007-0026-8

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  • DOI: https://doi.org/10.1007/s10598-007-0026-8

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