On Nonlinear Approximations to Cosmic Problems with Mixed Boundary Conditions

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dc.creatorMancinelli, Paul J.
dc.creatorYahil, Amos
dc.creatorGanon, Galit
dc.creatorDekel, Avishai
dc.date1993-10-20
dc.date.accessioned2026-07-07T02:18:56Z
dc.date.available2026-07-07T02:18:56Z
dc.descriptionNonlinear approximations to problems with mixed boundary conditions are useful for predicting large-scale streaming velocities from the density field, or vice-versa. We evaluate the schemes of Bernardeau \cite{bernardeau92}, Gramann \cite{gramann93}, and Nusser \etal \cite{nusser91}, using smoothed density and velocity fields obtained from $N$-body simulations of a CDM universe. The approximation of Nusser \etal is overall the most accurate and robust. For Gaussian smoothing of 1000\kms\ the mean error in the approximated relative density perturbation, $δ$, is smaller than 0.06, and the dispersion is 0.1. The \rms\ error in the estimated velocity is smaller than 60\kms, and the dispersion is 40\kms. For smoothing of 500\kms\ these numbers increase by about a factor $\sim 2$ for $δ< 4-5$, but deteriorate at higher densities. The other approximations are comparable to those of Nusser \etal for smoothing of 1000\kms, but are much less successful for the smaller smoothing of 500\kms.
dc.descriptionpaper for the 9th IAP Meeting, Paris, July 1993: "Cosmic Velocity Fields". 6 pages of uuencoded compressed postscript; figures included. SUSB0193
dc.identifierhttps://arxiv.org/abs/astro-ph/9310038
dc.identifierhttp://arxiv.org/abs/astro-ph/9310038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/9680
dc.subjectAstrophysics
dc.titleOn Nonlinear Approximations to Cosmic Problems with Mixed Boundary Conditions
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