Numerical Modeling of the Internal Dispersive Shock Wave in the Ocean
Numerical modeling of dispersive shock waves called solibore in a stratified fluid is conducted. The theoretical model is based on extended version of the Korteweg-de Vries equation which takes into account the effects of cubic nonlinearity and Earth rotation. This model is now very popular in the p...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2015/875619 |
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| _version_ | 1832552729239617536 |
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| author | Tatiana Talipova Efim Pelinovsky Oxana Kurkina Andrey Kurkin |
| author_facet | Tatiana Talipova Efim Pelinovsky Oxana Kurkina Andrey Kurkin |
| author_sort | Tatiana Talipova |
| collection | DOAJ |
| description | Numerical modeling of dispersive shock waves called solibore in a stratified fluid is conducted. The theoretical model is based on extended version of the Korteweg-de Vries equation which takes into account the effects of cubic nonlinearity and Earth rotation. This model is now very popular in the physical oceanography. Initial conditions for simulations correspond to the real observed internal waves of shock-like shape in the Pechora Sea, the Arctic. It is shown that a sharp drop (like kink in the soliton theory) in the depth of the thermocline is conserved at a distance of one–three kilometers, and then it is transformed into dispersive shock waves (shock wave with undulations). |
| format | Article |
| id | doaj-art-9b1bd8ccae294eedbe87c4e8cdf1159b |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-9b1bd8ccae294eedbe87c4e8cdf1159b2025-02-03T05:57:58ZengWileyShock and Vibration1070-96221875-92032015-01-01201510.1155/2015/875619875619Numerical Modeling of the Internal Dispersive Shock Wave in the OceanTatiana Talipova0Efim Pelinovsky1Oxana Kurkina2Andrey Kurkin3Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod 603950, RussiaInstitute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod 603950, RussiaDepartment of Applied Mathematics, Nizhny Novgorod State Technical University n.a. R.E. Alekseev, Nizhny Novgorod 603950, RussiaDepartment of Applied Mathematics, Nizhny Novgorod State Technical University n.a. R.E. Alekseev, Nizhny Novgorod 603950, RussiaNumerical modeling of dispersive shock waves called solibore in a stratified fluid is conducted. The theoretical model is based on extended version of the Korteweg-de Vries equation which takes into account the effects of cubic nonlinearity and Earth rotation. This model is now very popular in the physical oceanography. Initial conditions for simulations correspond to the real observed internal waves of shock-like shape in the Pechora Sea, the Arctic. It is shown that a sharp drop (like kink in the soliton theory) in the depth of the thermocline is conserved at a distance of one–three kilometers, and then it is transformed into dispersive shock waves (shock wave with undulations).http://dx.doi.org/10.1155/2015/875619 |
| spellingShingle | Tatiana Talipova Efim Pelinovsky Oxana Kurkina Andrey Kurkin Numerical Modeling of the Internal Dispersive Shock Wave in the Ocean Shock and Vibration |
| title | Numerical Modeling of the Internal Dispersive Shock Wave in the Ocean |
| title_full | Numerical Modeling of the Internal Dispersive Shock Wave in the Ocean |
| title_fullStr | Numerical Modeling of the Internal Dispersive Shock Wave in the Ocean |
| title_full_unstemmed | Numerical Modeling of the Internal Dispersive Shock Wave in the Ocean |
| title_short | Numerical Modeling of the Internal Dispersive Shock Wave in the Ocean |
| title_sort | numerical modeling of the internal dispersive shock wave in the ocean |
| url | http://dx.doi.org/10.1155/2015/875619 |
| work_keys_str_mv | AT tatianatalipova numericalmodelingoftheinternaldispersiveshockwaveintheocean AT efimpelinovsky numericalmodelingoftheinternaldispersiveshockwaveintheocean AT oxanakurkina numericalmodelingoftheinternaldispersiveshockwaveintheocean AT andreykurkin numericalmodelingoftheinternaldispersiveshockwaveintheocean |