{"id":2262,"date":"2025-05-13T19:16:21","date_gmt":"2025-05-13T18:16:21","guid":{"rendered":"http:\/\/newskbncran.ru\/?page_id=2262"},"modified":"2026-03-27T10:34:14","modified_gmt":"2026-03-27T10:34:14","slug":"26-6-7-en","status":"publish","type":"page","link":"https:\/\/izvestiyakbncran.ru\/index.php\/en\/26-6-7-en\/","title":{"rendered":"26.6.7 en"},"content":{"rendered":"\n

Computer modelling of large branched water pipeline systems with higher-order optimality<\/strong><\/h1>\n\n\n\n

M.B. Abazokov, V.Ch. Kudaev<\/strong><\/strong><\/p>\n\n\n\n

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Upload the full text<\/strong><\/p>\n\n\n\n

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Abstract.<\/em><\/strong> <\/em>Modelling of optimal hydraulic pipeline for regional and interregional water supply systems is highly relevant because of water scarcity in some parts of Russia. For a multi-extreme optimization problem to which this problem relates a local extremum is not sufficient and an absolute extremum is not possible since it would take a massive amount of computing power to solve. The purpose of the research is to develop a method, algorithms and software system for computer modelling of large branched water pipeline systems with higher-order optimality. The basis of the method is to divide the synthesis problem with flux and potential variables (Kirchhoff’s circuit) into two phases; it allows us to significantly reduce the computation time and resource requirements. The first phase determines the network structure while the second one identifies values of hydraulic parameters. The proposed methodology, algorithm and software are designed for computer modelling of branched water pipelines systems of regional and interregional water supply as well as for large-scale irrigation systems.<\/p>\n\n\n\n

Keywords:<\/em><\/strong> <\/strong>branched hydraulic pipeline Kirchhoff’s circuit, computer modelling, rank optimization, dimensionality reduction, Darcy\u2013Weisbach equation, pipeline costs, energy costs, pump station<\/p>\n\n\n\n

For citation<\/strong>. Abazokov M.B., Kudaev V.Ch. Computer modelling of large branched water pipeline systems with higher-order optimality. News of the Kabardino-Balkarian Scientific Center of RAS.<\/em> <\/strong>2024. Vol. 26. No. 6. Pp. 82\u201397. DOI: 10.35330\/<\/strong>1991-6639-2024-26-6-82-97<\/p>\n\n\n\n

R<\/strong>eferences<\/summary>\n
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  10. Kudaev V.Ch., Abazokov M.B. Cluster optimization of high-rank optimality of flow networks. Vestnik KRAUNC. Phys.-Math. Sciences. 2021. Vol. 37. No. 4. Pp. 104\u2013118. DOI: 10.26117\/2079-6641-2021-37-4-104-118. (In Russian)<\/li>\n\n\n\n
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  12. Abazokov M.B., Kudaev V.Ch. Tracing of large branched pipeline hydraulic networks of high optimality rank with graph presentation. News of the Kabardino-Balkarian Scientific Center of RAS. 2023. No. 4(114). Pp. 39\u201354. DOI: 10.35330\/1991-6639-2023-4-114-39-54. (In Russian)<\/li>\n\n\n\n
  13. Kudaev V.Ch. Ranks of extremums and structural optimization of large network systems. News of the Kabardino-Balkarian Scientific Center of RAS. 2016. No. 4(72). Pp. 15\u201324. EDN: WKDXXX. (In Russian)<\/li>\n\n\n\n
  14. Nekrasova O.A., Khasilev V.Ya. Optimal tree of a pipeline system. Ekonomika i matematicheskiye metody [Economics and Mathematical Methods]. 1970. Vol. 4. No. 3. Pp. 427\u2013432. (In Russian)<\/li>\n<\/ol>\n<\/details>\n\n\n\n
    Information about the author<\/strong><\/summary>\n
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    Mukhammed B. Abazokov<\/strong>, Junior Researcher, Department of Computational Methods, Institute of
    Applied Mathematics and Automation \u2013 branch of Kabardino-Balkarian Scientific Center of the Russian
    Academy of Sciences;
    360000, Russia, Nalchik, 89 A Shortanov street;
    Abazokov.Mukhammed@yandex.ru, ORCID: https:\/\/orcid.org\/0000-0002-6847-403X, SPIN-code: 3343-5679
    Valery Ch. Kudaev<\/strong>, Candidate of Physical and Mathematical Sciences, Lead Researcher, Department
    of Computational Methods, Institute of Applied Mathematics and Automation \u2013 branch of Kabardino-
    Balkarian Scientific Center of the Russian Academy of Sciences;
    360000, Russia, Nalchik, 89 A Shortanov street;
    valeriy.kudayev@mail.ru, ORCID: https:\/\/orcid.org\/0000-0002-8313-4199, SPIN-c\u043ede: 9931-1060<\/p>\n\n\n\n

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    Computer modelling of large branched water pipeline systems with higher-order optimality M.B. Abazokov, V.Ch. Kudaev Upload the full text Abstract. Modelling of optimal hydraulic pipeline for regional and interregional water supply systems is highly relevant because of water scarcity in some parts of Russia. For a multi-extreme optimization problem to which this problem relates a […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-2262","page","type-page","status-publish","hentry"],"yoast_head":"\n26.6.7 en - \u0418\u0417\u0412\u0415\u0421\u0422\u0418\u042f \u041a\u0410\u0411\u0410\u0420\u0414\u0418\u041d\u041e-\u0411\u0410\u041b\u041a\u0410\u0420\u0421\u041a\u041e\u0413\u041e \u041d\u0410\u0423\u0427\u041d\u041e\u0413\u041e \u0426\u0415\u041d\u0422\u0420\u0410 \u0420\u0410\u041d\u00bb<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/izvestiyakbncran.ru\/index.php\/en\/26-6-7-en\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"26.6.7 en - \u0418\u0417\u0412\u0415\u0421\u0422\u0418\u042f \u041a\u0410\u0411\u0410\u0420\u0414\u0418\u041d\u041e-\u0411\u0410\u041b\u041a\u0410\u0420\u0421\u041a\u041e\u0413\u041e \u041d\u0410\u0423\u0427\u041d\u041e\u0413\u041e \u0426\u0415\u041d\u0422\u0420\u0410 \u0420\u0410\u041d\u00bb\" \/>\n<meta property=\"og:description\" content=\"Computer modelling of large branched water pipeline systems with higher-order optimality M.B. Abazokov, V.Ch. Kudaev Upload the full text Abstract. Modelling of optimal hydraulic pipeline for regional and interregional water supply systems is highly relevant because of water scarcity in some parts of Russia. 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Abazokov, V.Ch. Kudaev Upload the full text Abstract. Modelling of optimal hydraulic pipeline for regional and interregional water supply systems is highly relevant because of water scarcity in some parts of Russia. 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