A numerical technique to solve a problem of the fluid motion in a straight plane rigid duct with two axisymmetric rectangular constrictions
A second-order numerical technique is developed to study the steady laminar fluid motion in a straight two-dimensional hard-walled duct with two axisymmetric rectangular constrictions. In this technique, the governing relations are solved via deriving their integral analogs, performing a discretiz...
Збережено в:
Видавець: | Видавничий дім "Академперіодика" НАН України |
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Дата: | 2022 |
Автор: | |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Видавничий дім "Академперіодика" НАН України
2022
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Назва видання: | Доповіді НАН України |
Теми: | |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/184929 |
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Цитувати: | A numerical technique to solve a problem of the fluid motion in a straight plane rigid duct with two axisymmetric rectangular constrictions / A.O. Borysyuk // Доповіді Національної академії наук України. — 2022. — № 1. — С. 48-57. — Бібліогр.: 5 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of UkraineРезюме: | A second-order numerical technique is developed to study the steady laminar fluid motion in a straight two-dimensional
hard-walled duct with two axisymmetric rectangular constrictions. In this technique, the governing relations
are solved via deriving their integral analogs, performing a discretization of these analogs, simplifying the obtained
(after making the discretization) coupled nonlinear algebraic equations, and the final solution of the resulting
(after making the simplification) uncoupled linear ones. The discretization consists of the spatial and temporal parts.
The first of them is performed with the use of the TVD-scheme and a two-point scheme of discretization of the
spatial derivatives, whereas the second one is made on the basis of the implicit three-point asymmetric backward
differencing scheme. The above-noted uncoupled linear algebraic equations are solved by an appropriate iterative
method, which uses the deferred correction implementation technique and the technique of conjugate gradients,
as well as the solvers ICCG and Bi-CGSTAB. |
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