Linear and Weakly Nonlinear Instability of Shallow Mixing Layers with Variable Friction
Linear and weakly nonlinear instability of shallow mixing layers is analysed in the present paper. It is assumed that the resistance force varies in the transverse direction. Linear stability problem is solved numerically using collocation method. It is shown that the increase in the ratio of the fr...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2018/8079647 |
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| _version_ | 1832552407511334912 |
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| author | Irina Eglite Andrei Kolyshkin |
| author_facet | Irina Eglite Andrei Kolyshkin |
| author_sort | Irina Eglite |
| collection | DOAJ |
| description | Linear and weakly nonlinear instability of shallow mixing layers is analysed in the present paper. It is assumed that the resistance force varies in the transverse direction. Linear stability problem is solved numerically using collocation method. It is shown that the increase in the ratio of the friction coefficients in the main channel to that in the floodplain has a stabilizing influence on the flow. The amplitude evolution equation for the most unstable mode (the complex Ginzburg–Landau equation) is derived from the shallow water equations under the rigid-lid assumption. Results of numerical calculations are presented. |
| format | Article |
| id | doaj-art-022d4374fac24b308a3693c824af0853 |
| institution | Kabale University |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-022d4374fac24b308a3693c824af08532025-02-03T05:58:44ZengWileyAdvances in Civil Engineering1687-80861687-80942018-01-01201810.1155/2018/80796478079647Linear and Weakly Nonlinear Instability of Shallow Mixing Layers with Variable FrictionIrina Eglite0Andrei Kolyshkin1Department of Engineering Mathematics, Riga Technical University, Daugavgrivas Street 2, Riga LV-1007, LatviaDepartment of Engineering Mathematics, Riga Technical University, Daugavgrivas Street 2, Riga LV-1007, LatviaLinear and weakly nonlinear instability of shallow mixing layers is analysed in the present paper. It is assumed that the resistance force varies in the transverse direction. Linear stability problem is solved numerically using collocation method. It is shown that the increase in the ratio of the friction coefficients in the main channel to that in the floodplain has a stabilizing influence on the flow. The amplitude evolution equation for the most unstable mode (the complex Ginzburg–Landau equation) is derived from the shallow water equations under the rigid-lid assumption. Results of numerical calculations are presented.http://dx.doi.org/10.1155/2018/8079647 |
| spellingShingle | Irina Eglite Andrei Kolyshkin Linear and Weakly Nonlinear Instability of Shallow Mixing Layers with Variable Friction Advances in Civil Engineering |
| title | Linear and Weakly Nonlinear Instability of Shallow Mixing Layers with Variable Friction |
| title_full | Linear and Weakly Nonlinear Instability of Shallow Mixing Layers with Variable Friction |
| title_fullStr | Linear and Weakly Nonlinear Instability of Shallow Mixing Layers with Variable Friction |
| title_full_unstemmed | Linear and Weakly Nonlinear Instability of Shallow Mixing Layers with Variable Friction |
| title_short | Linear and Weakly Nonlinear Instability of Shallow Mixing Layers with Variable Friction |
| title_sort | linear and weakly nonlinear instability of shallow mixing layers with variable friction |
| url | http://dx.doi.org/10.1155/2018/8079647 |
| work_keys_str_mv | AT irinaeglite linearandweaklynonlinearinstabilityofshallowmixinglayerswithvariablefriction AT andreikolyshkin linearandweaklynonlinearinstabilityofshallowmixinglayerswithvariablefriction |