On the reflectivity of sponge zones in compressible flow simulations
On the reflectivity of sponge zones in compressible flow simulations
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发表时间:
2010
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通讯作者:
By A. Mani
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作者:
By A. Mani
External flow simulations are typically computed on truncated domains. In these computations the exact conditions at the truncation boundary are usually unknown, and the external boundaries are often treated artificially. The aim of these artificial treatments is to allow for out-going flow features to leave the computational domain without reflecting any signature inside. These methods involve a variety of techniques (see Colonius 2004) including characteristic-based decomposition (e.g., Giles 1990; Poinsot & Lele 1992; Tam & Dong 1996), flow dissipation (e.g., Israeli & Orszag 1981; Freund 1997), grid-stretching/slow-down operators (e.g., Colonius et al. 1993; Karni 1996), supergrid modeling (Colonius & Ran 2002), and perfectly matched layers (Hu et al. 2008; Hu 2008). While some of these treatments require sophisticated procedures, they still fail to accomplish perfect nonreflectivity. One simple approach to treat the external boundaries is to use the sponge terms (Israeli & Orszag 1981; Bodony 2006). With this method the compressible Navier-Stokes equations are artificially modified as follows: