標題: | A simple compact fourth-order Poisson solver on polar geometry |
作者: | Lai, MC 應用數學系 Department of Applied Mathematics |
關鍵字: | fast Poisson solver;polar coordinates;compact scheme;FFT |
公開日期: | 10-十月-2002 |
摘要: | We present a simple and efficient compact fourth-order Poisson solver in polar coordinates. This solver relies on the truncated Fourier series expansion, where the differential equations of the Fourier coefficients are solved by the compact fourth-order finite difference scheme. By shifting a grid a half mesh away from the origin and incorporating the symmetry constraint of Fourier coefficients, we can easily handle coordinate singularities without pole conditions. The numerical evidence confirms fourth-order accuracy for the problem on an annulus and third-order accuracy for the problem on a disk. In addition, a simple and comparably accurate approximation for the derivatives of the solution is also presented. (C) 2002 Elsevier Science (USA). |
URI: | http://dx.doi.org/10.1006/jcph.2002.7172 http://hdl.handle.net/11536/28459 |
ISSN: | 0021-9991 |
DOI: | 10.1006/jcph.2002.7172 |
期刊: | JOURNAL OF COMPUTATIONAL PHYSICS |
Volume: | 182 |
Issue: | 1 |
起始頁: | 337 |
結束頁: | 345 |
顯示於類別: | 期刊論文 |