Construction of axisymmetric steady states of an inviscid incompressible fluid by spatially discretized equations for pseudo-advected vorticity
An infinite number of generalized solutions to the stationary Euler equations with axisymmetry and prescribed circulation are constructed by applying the finite difference method for spatial variables to an equation of pseudo-advected vorticity. They are proved to be different from exact solutions w...
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.3319 |
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| _version_ | 1832549346457944064 |
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| author | Takahiro Nishiyama |
| author_facet | Takahiro Nishiyama |
| author_sort | Takahiro Nishiyama |
| collection | DOAJ |
| description | An infinite number of generalized solutions to the stationary Euler equations with axisymmetry and prescribed circulation are constructed by applying the finite difference method for spatial variables to an equation of pseudo-advected vorticity. They are proved to be different from exact solutions which are written with trigonometric functions and a Coulomb wave function. |
| format | Article |
| id | doaj-art-f3ec1a68aa744926aae612504c3d50eb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f3ec1a68aa744926aae612504c3d50eb2025-02-03T06:11:41ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005203319334610.1155/IJMMS.2005.3319Construction of axisymmetric steady states of an inviscid incompressible fluid by spatially discretized equations for pseudo-advected vorticityTakahiro Nishiyama0Department of Intelligent Mechanical Engineering, Faculty of Engineering, Fukuoka Institute of Technology, Fukuoka 8110295, JapanAn infinite number of generalized solutions to the stationary Euler equations with axisymmetry and prescribed circulation are constructed by applying the finite difference method for spatial variables to an equation of pseudo-advected vorticity. They are proved to be different from exact solutions which are written with trigonometric functions and a Coulomb wave function.http://dx.doi.org/10.1155/IJMMS.2005.3319 |
| spellingShingle | Takahiro Nishiyama Construction of axisymmetric steady states of an inviscid incompressible fluid by spatially discretized equations for pseudo-advected vorticity International Journal of Mathematics and Mathematical Sciences |
| title | Construction of axisymmetric steady states of an inviscid incompressible fluid by spatially discretized equations for pseudo-advected vorticity |
| title_full | Construction of axisymmetric steady states of an inviscid incompressible fluid by spatially discretized equations for pseudo-advected vorticity |
| title_fullStr | Construction of axisymmetric steady states of an inviscid incompressible fluid by spatially discretized equations for pseudo-advected vorticity |
| title_full_unstemmed | Construction of axisymmetric steady states of an inviscid incompressible fluid by spatially discretized equations for pseudo-advected vorticity |
| title_short | Construction of axisymmetric steady states of an inviscid incompressible fluid by spatially discretized equations for pseudo-advected vorticity |
| title_sort | construction of axisymmetric steady states of an inviscid incompressible fluid by spatially discretized equations for pseudo advected vorticity |
| url | http://dx.doi.org/10.1155/IJMMS.2005.3319 |
| work_keys_str_mv | AT takahironishiyama constructionofaxisymmetricsteadystatesofaninviscidincompressiblefluidbyspatiallydiscretizedequationsforpseudoadvectedvorticity |