On the numerical solution of the three-dimensional advection-diffusion equation
A new approach is proposed for the numerical solution of three-dimensional advection-diffusion equations, which arise, among others, in air pollution modelling. The technique is based on directional operator splitting, which results in one-dimensional advection-diffusion equations. Then upstream-t...
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| Date: | 2006 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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Інститут програмних систем НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/1570 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the numerical solution of the three-dimensional advection-diffusion equation / V. Prusov, A. Doroshenko, I. Faragó, Á. Havasi // Проблеми програмування. — 2006. — N 2-3. — С. 641-647. — Бібліогр.: 42 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-1570 |
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Prusov, V. Doroshenko, A. Faragó, I. Havasi, Á. 2008-08-26T13:18:13Z 2008-08-26T13:18:13Z 2006 On the numerical solution of the three-dimensional advection-diffusion equation / V. Prusov, A. Doroshenko, I. Faragó, Á. Havasi // Проблеми програмування. — 2006. — N 2-3. — С. 641-647. — Бібліогр.: 42 назв. — англ. 1727-4907 https://nasplib.isofts.kiev.ua/handle/123456789/1570 004.75 A new approach is proposed for the numerical solution of three-dimensional advection-diffusion equations, which arise, among others, in air pollution modelling. The technique is based on directional operator splitting, which results in one-dimensional advection-diffusion equations. Then upstream-type difference approximations are applied for the first-order derivatives and non-standard difference approximations for the second-order derivatives. This approach leads to significant qualitative improvements in the behaviour of the numerical solutions. en Інститут програмних систем НАН України Прикладне програмне забезпечення On the numerical solution of the three-dimensional advection-diffusion equation Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On the numerical solution of the three-dimensional advection-diffusion equation |
| spellingShingle |
On the numerical solution of the three-dimensional advection-diffusion equation Prusov, V. Doroshenko, A. Faragó, I. Havasi, Á. Прикладне програмне забезпечення |
| title_short |
On the numerical solution of the three-dimensional advection-diffusion equation |
| title_full |
On the numerical solution of the three-dimensional advection-diffusion equation |
| title_fullStr |
On the numerical solution of the three-dimensional advection-diffusion equation |
| title_full_unstemmed |
On the numerical solution of the three-dimensional advection-diffusion equation |
| title_sort |
on the numerical solution of the three-dimensional advection-diffusion equation |
| author |
Prusov, V. Doroshenko, A. Faragó, I. Havasi, Á. |
| author_facet |
Prusov, V. Doroshenko, A. Faragó, I. Havasi, Á. |
| topic |
Прикладне програмне забезпечення |
| topic_facet |
Прикладне програмне забезпечення |
| publishDate |
2006 |
| language |
English |
| publisher |
Інститут програмних систем НАН України |
| format |
Article |
| description |
A new approach is proposed for the numerical solution of three-dimensional advection-diffusion equations, which arise, among others, in
air pollution modelling. The technique is based on directional operator splitting, which results in one-dimensional advection-diffusion
equations. Then upstream-type difference approximations are applied for the first-order derivatives and non-standard difference
approximations for the second-order derivatives. This approach leads to significant qualitative improvements in the behaviour of the
numerical solutions.
|
| issn |
1727-4907 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/1570 |
| citation_txt |
On the numerical solution of the three-dimensional advection-diffusion equation / V. Prusov, A. Doroshenko, I. Faragó, Á. Havasi // Проблеми програмування. — 2006. — N 2-3. — С. 641-647. — Бібліогр.: 42 назв. — англ. |
| work_keys_str_mv |
AT prusovv onthenumericalsolutionofthethreedimensionaladvectiondiffusionequation AT doroshenkoa onthenumericalsolutionofthethreedimensionaladvectiondiffusionequation AT faragoi onthenumericalsolutionofthethreedimensionaladvectiondiffusionequation AT havasia onthenumericalsolutionofthethreedimensionaladvectiondiffusionequation |
| first_indexed |
2025-12-01T22:02:50Z |
| last_indexed |
2025-12-01T22:02:50Z |
| _version_ |
1850861058542010368 |