کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
519034 | 867635 | 2011 | 13 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator](/preview/png/519034.png)
In this paper, we describe a new class of fast solvers for separable elliptic partial differential equations in cylindrical coordinates (r, θ, z) with free-space radiation conditions. By combining integral equation methods in the radial variable r with Fourier methods in θ and z, we show that high-order accuracy can be achieved in both the governing potential and its derivatives. A weak singularity arises in the Fourier transform with respect to z that is handled with special purpose quadratures. We show how these solvers can be applied to the evaluation of the Coulomb collision operator in kinetic models of ionized gases.
► We describe new fast solvers for elliptic partial differential equations in free space.
► We combine integral equation methods with Fourier methods to achieve high order accuracy.
► We apply these solvers to the evaluation of the Coulomb collision operator in plasma physics.
Journal: Journal of Computational Physics - Volume 230, Issue 21, 1 September 2011, Pages 7840–7852