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...
Збережено в:
| Дата: | 2006 |
|---|---|
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут програмних систем НАН України
2006
|
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/1570 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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. |
|---|