A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D
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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/693537 |
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| Summary: | 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(log2M)), 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. |
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| ISSN: | 1110-757X 1687-0042 |