An iterative Langevin solution for contaminant dispersion simulation using the Gram–Charlier PDF

Carvalho, Jonas C.; NICHIMURA, E; DEVILHENA, M; Moreira, Débora Duarte; Degrazia, Gervásio Annes

doi:10.1016/s1364-8152(04)00142-2

Cited by 10 publications

(1 citation statement)

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“…One also finds semi-analytical methods, where we mention the works of Parlange Parlange (1971), Dike Dike (1975, Henry et al Henry et al (1991), Grisogono and Oerlemans Grisogono and Oerlemans (2001), Metha and Yadav Metha and Yadav (2003), Carvalho et al Carvalho et al (2005a) and Carvalho and Vilhena Carvalho and Vilhena (2005 Carvalho et al (2005a;b;2007a;b); Szinvelski et al (2006). An alternative analytical method for solving linear and non-linear differential equations was developed by Adomian Adomian (1988), known as the decomposition method.…”

Section: Stochastic Wind Profile Modellingmentioning

confidence: 99%

Stochastic Wind Profiles Determination for Radioactive Substances Released from Nuclear Power Plants

Vilhena¹,

Bodmann²,

Mello³

2010

Nuclear Power

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In this review we discuss a stochastic turbulent wind profile based on the three-dimensional stochastic Langevin equation for Gram-Chalier probability density function and a known mean wind velocity. Its solution permits to simulate radioactive substances dispersion in a turbulent regime, which is of interest for nuclear reactor accident scenarios and their related emergency actions. We discuss the stochastic Langevin equation together with an analytical method for solving the three-dimensional and time dependent equation which is then applied to radioactive substance dispersion for a stochastic turbulence model. The solution is obtained using the Adomian Decomposition Method, which provides a direct scheme for solving the problem without the need for linearisation and any transformation. The results of the model are compared to case studies with measured data and further compared to procedures and predictions from other approaches.

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