Abstract:
There are proposed and analyzed three different solution schemes of the problem of transient oscillations of internal wave motions in stratified liquid on the base of the finite differences method and of the finite elements method. The schemes' testing has been performed by means of computational experiment. Their comparative analysis is carried out.
Keywords:
internal wave, finite difference method, a little stratified liquid.
Citation:
M. N. Moskalkov, D. Utebaiev, “Comparison of some methods for solution of the problem related to the weakly stratified liquid internal wave motions”, Mat. Model., 22:9 (2010), 3–12; Math. Models Comput. Simul., 3:2 (2011), 264–271
\Bibitem{MosUte10}
\by M.~N.~Moskalkov, D.~Utebaiev
\paper Comparison of some methods for solution of the problem related to the weakly stratified liquid internal wave motions
\jour Mat. Model.
\yr 2010
\vol 22
\issue 9
\pages 3--12
\mathnet{http://mi.mathnet.ru/mm3014}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2767921}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 2
\pages 264--271
\crossref{https://doi.org/10.1134/S2070048211020086}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929085082}
Linking options:
https://www.mathnet.ru/eng/mm3014
https://www.mathnet.ru/eng/mm/v22/i9/p3
This publication is cited in the following 10 articles:
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Dauletbay Utebaev, Bakhadir Utebaev, Kuwatbay Tleuov, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY, 3147, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY, 2024, 030005
Bakhadir Utebaev, Dauletbay Utebaev, Zukhra Orynbaeva, THE INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE RAKHMATULIN READINGS, 3119, THE INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE RAKHMATULIN READINGS, 2024, 040007
Jiemeihui Li, Xiaodong Huang, Yang Shi, Yixin Yang, Wei Zhao, “Effects of internal solitary waves on three-dimensional sound propagation and DOA estimation in the South China Sea”, Applied Acoustics, 212 (2023), 109612
Mersaid Aripov, Bakhadir Utebaev, NOVEL TRENDS IN RHEOLOGY IX, 2997, NOVEL TRENDS IN RHEOLOGY IX, 2023, 020001
Dauletbay Utebaev, Khakimbay Atadjanov, Lecture Notes in Networks and Systems, 575, XV International Scientific Conference “INTERAGROMASH 2022”, 2023, 2642
Dauletbay Utebaev, Gulzira Utepbergenova, Kuat Tileuov, THE 2ND INTERNATIONAL SCIENTIFIC CONFERENCE «ECOSYSTEMS WITHOUT BORDERS - 2021», 2636, THE 2ND INTERNATIONAL SCIENTIFIC CONFERENCE «ECOSYSTEMS WITHOUT BORDERS - 2021», 2022, 040009
Utebaev D., Utepbergenova G. Kh G. Kh, Tleuov K.O., “On Convergence of Schemes of Finite Element Method of High Accuracy For the Equation of Heat and Moisture Transfer”, Bull. Karaganda Univ-Math., 102:2 (2021), 129–141
Aripov M., Utebaev D., Nurullaev Zh., “Convergence of High-Precision Finite Element Method Schemes For Two-Temperature Plasma Equation”, AIP Conference Proceedings, 2325, eds. Ashyralyev A., Ashyralyyev C., Erdogan A., Lukashov A., Sadybekov M., Amer Inst Physics, 2021, 020059
Mikhail Nikolayevich Moskalkov, Dauletbay Utebaev, “Finite Element Solution of a Problem for Gravity Gyroscopic Equation in the Time Domain”, AM, 05:08 (2014), 1120