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

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  • Chien-Chang Yen

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.

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  • Chien-Chang Yen, 2014. "A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-12, July.
    • Handle: RePEc:hin:jnljam:693537
    DOI: 10.1155/2014/693537
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