Development of PML absorbing boundary conditions for computational aeroacoustics: A progress review |
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Authors: | Fang Q Hu |
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Affiliation: | Department of Mathematics and Statistics, Old Dominion University, Norfolk, VA 23529, USA |
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Abstract: | Recent advances in the development of perfectly matched layer (PML) as absorbing boundary conditions for computational aeroacoustics are reviewed. The PML methodology is presented as a complex change of variables. In this context, the importance of a proper space-time transformation in the PML technique for Euler equations is emphasized. A unified approach for the derivation of PML equations is offered that involves three essential steps. The three-step approach is illustrated in details for the PML of linear and non-linear Euler equations. Numerical examples are also given that include non-reflecting boundary conditions for a ducted channel flow and mixing layer roll-up vortices. |
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