Quasi-Hydrodynamic Approach for Simulating Internal Wave Attractors
On the example of the problem of modeling wave attractors in a stratified fluid, the advantages of the quasi-hydrodynamic (QHDFoam) algorithm over the classical algorithm of operator splitting (PISO) are demonstrated. Both algorithms are implemented by the finite volume method based on the OpenFOAM...
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Veröffentlicht in: | Mathematical models and computer simulations 2022, Vol.14 (4), p.547-558 |
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description | On the example of the problem of modeling wave attractors in a stratified fluid, the advantages of the quasi-hydrodynamic (QHDFoam) algorithm over the classical algorithm of operator splitting (PISO) are demonstrated. Both algorithms are implemented by the finite volume method based on the OpenFOAM open source software package. It is shown that the application of the PISO algorithm does not reproduce the dynamics of multiple reflection and focusing of internal waves in a stratified fluid during the interaction with the boundaries of the computational domain. The QHDFoam algorithm based on solving the regularized Navier–Stokes equations gives results close to the data of the high-order spectral-element method, the data of which are considered as the reference in this study. |
doi_str_mv | 10.1134/S2070048222040093 |
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A.</creator><creatorcontrib>Ryazanov, D. A.</creatorcontrib><description>On the example of the problem of modeling wave attractors in a stratified fluid, the advantages of the quasi-hydrodynamic (QHDFoam) algorithm over the classical algorithm of operator splitting (PISO) are demonstrated. Both algorithms are implemented by the finite volume method based on the OpenFOAM open source software package. It is shown that the application of the PISO algorithm does not reproduce the dynamics of multiple reflection and focusing of internal waves in a stratified fluid during the interaction with the boundaries of the computational domain. The QHDFoam algorithm based on solving the regularized Navier–Stokes equations gives results close to the data of the high-order spectral-element method, the data of which are considered as the reference in this study.</description><identifier>ISSN: 2070-0482</identifier><identifier>EISSN: 2070-0490</identifier><identifier>DOI: 10.1134/S2070048222040093</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Algorithms ; Finite volume method ; Internal waves ; Mathematical Modeling and Industrial Mathematics ; Mathematics ; Mathematics and Statistics ; Simulation and Modeling ; Spectral element method</subject><ispartof>Mathematical models and computer simulations, 2022, Vol.14 (4), p.547-558</ispartof><rights>Pleiades Publishing, Ltd. 2022. ISSN 2070-0482, Mathematical Models and Computer Simulations, 2022, Vol. 14, No. 4, pp. 547–558. © Pleiades Publishing, Ltd., 2022. Russian Text © The Author(s), 2021, published in Matematicheskoe Modelirovanie, 2021, Vol. 33, No. 12, pp. 3–20.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c1613-74b413690d5db571c72e1c3cfb02f28616a464e32f9951db4ce6162ccc2a162e3</citedby><cites>FETCH-LOGICAL-c1613-74b413690d5db571c72e1c3cfb02f28616a464e32f9951db4ce6162ccc2a162e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S2070048222040093$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S2070048222040093$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,778,782,27907,27908,41471,42540,51302</link.rule.ids></links><search><creatorcontrib>Ryazanov, D. A.</creatorcontrib><title>Quasi-Hydrodynamic Approach for Simulating Internal Wave Attractors</title><title>Mathematical models and computer simulations</title><addtitle>Math Models Comput Simul</addtitle><description>On the example of the problem of modeling wave attractors in a stratified fluid, the advantages of the quasi-hydrodynamic (QHDFoam) algorithm over the classical algorithm of operator splitting (PISO) are demonstrated. Both algorithms are implemented by the finite volume method based on the OpenFOAM open source software package. It is shown that the application of the PISO algorithm does not reproduce the dynamics of multiple reflection and focusing of internal waves in a stratified fluid during the interaction with the boundaries of the computational domain. The QHDFoam algorithm based on solving the regularized Navier–Stokes equations gives results close to the data of the high-order spectral-element method, the data of which are considered as the reference in this study.</description><subject>Algorithms</subject><subject>Finite volume method</subject><subject>Internal waves</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Simulation and Modeling</subject><subject>Spectral element method</subject><issn>2070-0482</issn><issn>2070-0490</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp1UMFKw0AUXETBUvsB3gKeo--93WSTYyhqCwWRKh7DZrOpKW0SdxMhf--Gih7Ed5nHMDMMw9g1wi0iF3dbAgkgEiICAZDyMzabqBBECuc_f0KXbOHcHvxxkglPZmz5PChXh6uxtG05NupY6yDrOtsq_R5UrQ229XE4qL5udsG66Y1t1CF4U58myPreKt231l2xi0odnFl845y9Pty_LFfh5ulxvcw2ocYYeShFIZDHKZRRWUQStSSDmuuqAKooiTFWIhaGU5WmEZaF0MZzpLUm5dHwObs55fp6H4Nxfb5vh6mQyylOUKSRJOlVeFJp2zpnTZV3tj4qO-YI-TRX_mcu76GTx3ltszP2N_l_0xd7PWpO</recordid><startdate>2022</startdate><enddate>2022</enddate><creator>Ryazanov, D. A.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>2022</creationdate><title>Quasi-Hydrodynamic Approach for Simulating Internal Wave Attractors</title><author>Ryazanov, D. A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1613-74b413690d5db571c72e1c3cfb02f28616a464e32f9951db4ce6162ccc2a162e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Algorithms</topic><topic>Finite volume method</topic><topic>Internal waves</topic><topic>Mathematical Modeling and Industrial Mathematics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Simulation and Modeling</topic><topic>Spectral element method</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ryazanov, D. A.</creatorcontrib><collection>CrossRef</collection><jtitle>Mathematical models and computer simulations</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ryazanov, D. A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quasi-Hydrodynamic Approach for Simulating Internal Wave Attractors</atitle><jtitle>Mathematical models and computer simulations</jtitle><stitle>Math Models Comput Simul</stitle><date>2022</date><risdate>2022</risdate><volume>14</volume><issue>4</issue><spage>547</spage><epage>558</epage><pages>547-558</pages><issn>2070-0482</issn><eissn>2070-0490</eissn><abstract>On the example of the problem of modeling wave attractors in a stratified fluid, the advantages of the quasi-hydrodynamic (QHDFoam) algorithm over the classical algorithm of operator splitting (PISO) are demonstrated. Both algorithms are implemented by the finite volume method based on the OpenFOAM open source software package. It is shown that the application of the PISO algorithm does not reproduce the dynamics of multiple reflection and focusing of internal waves in a stratified fluid during the interaction with the boundaries of the computational domain. The QHDFoam algorithm based on solving the regularized Navier–Stokes equations gives results close to the data of the high-order spectral-element method, the data of which are considered as the reference in this study.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S2070048222040093</doi><tpages>12</tpages></addata></record> |
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subjects | Algorithms Finite volume method Internal waves Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Simulation and Modeling Spectral element method |
title | Quasi-Hydrodynamic Approach for Simulating Internal Wave Attractors |
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