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

Chien-Chang Yen

Journal of Applied Mathematics, 2014, vol. 2014, 1-12

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 -body method and artificial boundary conditions for the spectral methods. With the help of fast Fourier transform, the computational complexity is only , where 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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:693537

DOI: 10.1155/2014/693537

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