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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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| Language: | English |
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Інститут програмних систем НАН України
2006
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| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/1570 |
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irk-123456789-15702008-08-29T12:01:25Z On the numerical solution of the three-dimensional advection-diffusion equation Prusov, V. Doroshenko, A. Faragó, I. Havasi, Á. Прикладне програмне забезпечення 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. 2006 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/1570 004.75 en Інститут програмних систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Прикладне програмне забезпечення Прикладне програмне забезпечення |
| spellingShingle |
Прикладне програмне забезпечення Прикладне програмне забезпечення Prusov, V. Doroshenko, A. Faragó, I. Havasi, Á. On the numerical solution of the three-dimensional advection-diffusion equation |
| 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. |
| format |
Article |
| author |
Prusov, V. Doroshenko, A. Faragó, I. Havasi, Á. |
| author_facet |
Prusov, V. Doroshenko, A. Faragó, I. Havasi, Á. |
| author_sort |
Prusov, V. |
| title |
On the numerical solution of the three-dimensional advection-diffusion equation |
| 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 |
| publisher |
Інститут програмних систем НАН України |
| publishDate |
2006 |
| topic_facet |
Прикладне програмне забезпечення |
| url |
http://dspace.nbuv.gov.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 |
2023-03-24T08:22:20Z |
| last_indexed |
2023-03-24T08:22:20Z |
| _version_ |
1796138906344751104 |