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- W2080353460 abstract "The softened point mass model is commonly used in simulations of gaseous discs including self-gravity while the value of associated length λ remains, to some degree, controversial. This ‘parameter’ is however fully constrained when, in a discretized disc, all fluid cells are demanded to obey Newton's law. We examine the topology of solutions in this context, focusing on cylindrical cells more or less vertically elongated. We find that not only the nominal length depends critically on the cell's shape (curvature, radial extension, height), but it is either a real or an imaginary number. Setting λ as a fraction of the local disc thickness – as usually done – is indeed not the optimal choice. We then propose a novel prescription valid irrespective of the disc properties and grid spacings. The benefit, which amounts to 2–3 more digits typically, is illustrated in a few concrete cases. A detailed mathematical analysis is in progress." @default.
- W2080353460 created "2016-06-24" @default.
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- W2080353460 date "2015-01-02" @default.
- W2080353460 modified "2023-09-26" @default.
- W2080353460 title "A truly Newtonian softening length for disc simulations" @default.
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- W2080353460 doi "https://doi.org/10.1093/mnras/stu2511" @default.
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