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


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