کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
520323 | 867713 | 2010 | 15 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Stability analysis and time-step limits for a Monte Carlo Compton-scattering method Stability analysis and time-step limits for a Monte Carlo Compton-scattering method](/preview/png/520323.png)
A Monte Carlo method for simulating Compton scattering in high energy density applications has been presented that models the photon–electron collision kinematics exactly [E. Canfield, W.M. Howard, E.P. Liang, Inverse Comptonization by one-dimensional relativistic electrons, Astrophys. J. 323 (1987) 565]. However, implementing this technique typically requires an explicit evaluation of the material temperature, which can lead to unstable and oscillatory solutions. In this paper, we perform a stability analysis of this Monte Carlo method and develop two time-step limits that avoid undesirable behavior. The first time-step limit prevents instabilities, while the second, more restrictive time-step limit avoids both instabilities and nonphysical oscillations. With a set of numerical examples, we demonstrate the efficacy of these time-step limits.
Journal: Journal of Computational Physics - Volume 229, Issue 10, 20 May 2010, Pages 3691–3705