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Showing papers by "Wolfgang Wagner published in 1992"


Journal ArticleDOI
TL;DR: In this article, the limit of the random empirical measures associated with the Bird algorithm is shown to be a deterministic measure-valued function satisfying an equation close (in a certain sense) to the Boltzmann equation.
Abstract: Bird's direct simulation Monte Carlo method for the Boltzmann equation is considered. The limit (as the number of particles tends to infinity) of the random empirical measures associated with the Bird algorithm is shown to be a deterministic measure-valued function satisfying an equation close (in a certain sense) to the Boltzmann equation. A Markov jump process is introduced, which is related to Bird's collision simulation procedure via a random time transformation. Convergence is established for the Markov process and the random time transformation. These results, together with some general properties concerning the convergence of random measures, make it possible to characterize the limiting behavior of the Bird algorithm.

476 citations


Journal ArticleDOI
TL;DR: In this article, a comprehensive (p, ρ, T ) measurements on pure methane have been carried out on 15 isotherms in the homogeneous gas and liquid region (270 values).

65 citations


Journal ArticleDOI
TL;DR: In this article, the authors presented accurate (p, ρ, T) measurements on pure carbon dioxide in the temperature range from 220 K to 360 K at pressures up to 13 MPa.

51 citations


Journal ArticleDOI
TL;DR: In this article, the second virial coefficients of dichlorodifluoromethane (R12) and R122 were determined in the homogeneous liquid region from the vapour pressure up to pressures of 8 MPa.

38 citations


Journal ArticleDOI
TL;DR: The uncertainty of the refractive inder was estimated to be less than ±5×10 -7 at 1 MPa and ±5x10 -6 at 34 MPa.
Abstract: Comprehensive refractive inde measurements n(P,T) were carried out on pure methane in the temperature range from 273.15 to 373.15 K and at pressures up to 34 MPa. Two coupled laser interferometers were used for the experiments, one containing methane, the other the reference gas nitrogen maintained at the same pressure and a fixed temperature T 0 , serving as a manometer. The uncertainty of the refractive inder was estimated to be less than ±5×10 -7 at 1 MPa and ±5×10 -6 at 34 MPa

30 citations


Journal ArticleDOI
TL;DR: Wagner et al. as discussed by the authors used a multi-cell apparatus to determine the critical exponents β, γ, and δ for pure fluid substances in the immediate critical region.

28 citations


Journal ArticleDOI
TL;DR: In this paper, the authors presented accurate (p, ρ, T) measurements on pure sulphur hexafluoride (SF6) on four supercritical isotherms at pressures from 0.5 MPa to 8 MPa.

23 citations