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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832554382539882496 |
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| author | Chien-Chang Yen |
| author_facet | Chien-Chang Yen |
| author_sort | Chien-Chang Yen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b91b8d0461654001851587b49969d07a |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b91b8d0461654001851587b49969d07a2025-02-03T05:51:39ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/693537693537A Numerical Convolution Representation of Potential for a Disk Surface Density in 3DChien-Chang Yen0Department of Mathematics, Fu Jen Catholic University, New Taipei City 24205, TaiwanThis 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.http://dx.doi.org/10.1155/2014/693537 |
| spellingShingle | Chien-Chang Yen A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D Journal of Applied Mathematics |
| title | A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D |
| title_full | A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D |
| title_fullStr | A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D |
| title_full_unstemmed | A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D |
| title_short | A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D |
| title_sort | numerical convolution representation of potential for a disk surface density in 3d |
| url | http://dx.doi.org/10.1155/2014/693537 |
| work_keys_str_mv | AT chienchangyen anumericalconvolutionrepresentationofpotentialforadisksurfacedensityin3d AT chienchangyen numericalconvolutionrepresentationofpotentialforadisksurfacedensityin3d |