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首页> 美国政府科技报告 >Principle of the Random Walk Method for Radiative Transfer Equations and Application. Pt. 1: Principle of the Method
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Principle of the Random Walk Method for Radiative Transfer Equations and Application. Pt. 1: Principle of the Method

机译：辐射传输方程随机游走法原理及应用。铂。 1：方法原理

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The aim of this work is to propose a method to avoid a very complex tracking of the particles in the optically thick medium. The principle of this method is to replace the trajectory of a particle by a jump according to the law antiI (t,.) where antiI is the solution of a diffusion equation in the case of an opaque medium. In order to find this approximation we make an appropriate scaling with a small parameter epsilon related to the mean free path of the particles and we calculate the limit antiI. We first give the result of this calculation with an error of order O(epsilon sup 2 ) and an improvement of this result is given. This method works because the limit equation is simple enough and it is easy to have an explicit solution of this equation. Remark that the same method may be used for other equations when there are many collisions in a medium (for instance in Fokker Planck equation), if the limit equation may be solved very quickly. (ERA citation 11:042226)

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