This work concerns to the digital treatment of the problems in strong nonlinearity during the resolution of the equations of Navier Stokes, in particular those due to the strong recirculation in turbulent regime. The developed idea is to use the method of subdomains. The domain of the flow is decomposed into several sub domains separated by fictitious borders. In each of these sub domains, we use the best digital adapted method. The passage in the entire domain is made by digital connecting. This connecting is made by covering of domain. The results are presented in the case of a jet of rejection emitted by the bottom in a rectangular canal. In this application, we divided the domain of study into two parts: Meadows of the limit coat, we use the method of the finished differences and in the outside zone the resolution is made by the particular method .The fictitious interface between these two subdomains is processed by the method particles - meshing. A validation of this approach is made by comparison with a direct calculation in entire domain.
| Published in | American Journal of Applied Mathematics (Volume 2, Issue 2) |
| DOI | 10.11648/j.ajam.20140202.14 |
| Page(s) | 64-68 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Equations of Navier Stocks, Digital Methods, Particular Methods, Method of Finished Differences, Decomposition of the Domain, Schema T.S.C of Projection Interpolation
| [1] | A. Jolles, Résolution des équations de Navier Stokes par une méthode particules-maillage, Thèse de Doctorat Université Paris-VI, Décembre 1989. |
| [2] | G.Mangoub, Etude numérique de l’interaction tourbillon paroi par une méthode particule-maillage, thèse de Doctorat Université paris –VI, Décembre 1992. |
| [3] | O. DAUBE – T. P. LOC," Etude numérique d'écoulements instationnaires de fluides visqueux incompressibles autour de corps profilés, par une méthode combinée d'ordre O(h2) et O(h4) Journal de mécanique Vol 17 n°6 1978. |
| [4] | S. Huberson, Modélisation asymptotique et simulation numérique d’écoulements tourbillonnaires, Thèse de Doctorat d’Etat, Décembre 1986 |
APA Style
Khalid Adnaoui, Nourdine Tounsi, Mohamed Chagdali, Soumia Mordane. (2014). The Method of Decomposition Domain for the Digital Modelling of a Jet. American Journal of Applied Mathematics, 2(2), 64-68. https://doi.org/10.11648/j.ajam.20140202.14
ACS Style
Khalid Adnaoui; Nourdine Tounsi; Mohamed Chagdali; Soumia Mordane. The Method of Decomposition Domain for the Digital Modelling of a Jet. Am. J. Appl. Math. 2014, 2(2), 64-68. doi: 10.11648/j.ajam.20140202.14
AMA Style
Khalid Adnaoui, Nourdine Tounsi, Mohamed Chagdali, Soumia Mordane. The Method of Decomposition Domain for the Digital Modelling of a Jet. Am J Appl Math. 2014;2(2):64-68. doi: 10.11648/j.ajam.20140202.14
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Download@article{10.11648/j.ajam.20140202.14,
author = {Khalid Adnaoui and Nourdine Tounsi and Mohamed Chagdali and Soumia Mordane},
title = {The Method of Decomposition Domain for the Digital Modelling of a Jet},
journal = {American Journal of Applied Mathematics},
volume = {2},
number = {2},
pages = {64-68},
doi = {10.11648/j.ajam.20140202.14},
url = {https://doi.org/10.11648/j.ajam.20140202.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20140202.14},
abstract = {This work concerns to the digital treatment of the problems in strong nonlinearity during the resolution of the equations of Navier Stokes, in particular those due to the strong recirculation in turbulent regime. The developed idea is to use the method of subdomains. The domain of the flow is decomposed into several sub domains separated by fictitious borders. In each of these sub domains, we use the best digital adapted method. The passage in the entire domain is made by digital connecting. This connecting is made by covering of domain. The results are presented in the case of a jet of rejection emitted by the bottom in a rectangular canal. In this application, we divided the domain of study into two parts: Meadows of the limit coat, we use the method of the finished differences and in the outside zone the resolution is made by the particular method .The fictitious interface between these two subdomains is processed by the method particles - meshing. A validation of this approach is made by comparison with a direct calculation in entire domain.},
year = {2014}
}
TY - JOUR T1 - The Method of Decomposition Domain for the Digital Modelling of a Jet AU - Khalid Adnaoui AU - Nourdine Tounsi AU - Mohamed Chagdali AU - Soumia Mordane Y1 - 2014/05/10 PY - 2014 N1 - https://doi.org/10.11648/j.ajam.20140202.14 DO - 10.11648/j.ajam.20140202.14 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 64 EP - 68 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20140202.14 AB - This work concerns to the digital treatment of the problems in strong nonlinearity during the resolution of the equations of Navier Stokes, in particular those due to the strong recirculation in turbulent regime. The developed idea is to use the method of subdomains. The domain of the flow is decomposed into several sub domains separated by fictitious borders. In each of these sub domains, we use the best digital adapted method. The passage in the entire domain is made by digital connecting. This connecting is made by covering of domain. The results are presented in the case of a jet of rejection emitted by the bottom in a rectangular canal. In this application, we divided the domain of study into two parts: Meadows of the limit coat, we use the method of the finished differences and in the outside zone the resolution is made by the particular method .The fictitious interface between these two subdomains is processed by the method particles - meshing. A validation of this approach is made by comparison with a direct calculation in entire domain. VL - 2 IS - 2 ER -
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