A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D

Chien-Chang Yen

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: This study presents a numerical convolution representation of a potential induced from a disk of surface density, which has often been investigated in the center region of galaxies. The advantage of this representation is to release the softening length for the N‐body method and artificial boundary conditions for the spectral methods. With the help of fast Fourier transform, the computational complexity is only O(M2(log2⁡M)), where M is the number of zones in one dimension. Numerical results show an almost second order of accuracy on a Cartesian coordinate system. A comparison study also demonstrates that this method can calculate the potential for disk surface density based on the uniform grids.

Date: 2014
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https://doi.org/10.1155/2014/693537

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:693537

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