Simulation of undular bores evolution with damping
Propagation of undular bores with damping is considered in the framework of perturbed extended Korteweg-de Vries (peKdV) equation. Two types of damping terms for the peKdV equation, namely linear and Chezy frictional terms, which describe the turbulent boundary layers in the fluid flow are considered....
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Watam Press
2017
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| Online Access: | http://eprints.uthm.edu.my/4373/1/AJ%202017%20%28144%29%20Simulation%20of%20undular%20bores%20evolution%20with%20damping.pdf |
| _version_ | 1825709832230928384 |
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| author | Tiong, W.K. Tay, K.G. Ong, C.T. Chiew, K.L. |
| author_facet | Tiong, W.K. Tay, K.G. Ong, C.T. Chiew, K.L. |
| author_sort | Tiong, W.K. |
| collection | UTHM |
| description | Propagation of undular bores with damping is considered in the framework of perturbed extended Korteweg-de Vries (peKdV) equation. Two types of damping terms for the peKdV equation, namely linear and Chezy frictional terms, which describe the turbulent boundary layers in the fluid flow are considered. Solving the peKdV equation numerically using the method of lines shows that under the influence of damping, the lead-ing solitary wave of the undular bores will split from the nonlinear wavetrain, propagates and behaves like an isolated solitary wave. The amplitude of the leading wave will remain the same for some times before it starts to decay again at a larger time. In general the amplitude of the leading wave and the mean level across the undular bore decreases due to the effect of damping. |
| first_indexed | 2024-03-05T21:48:23Z |
| format | Article |
| id | uthm.eprints-4373 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | English |
| last_indexed | 2024-03-05T21:48:23Z |
| publishDate | 2017 |
| publisher | Watam Press |
| record_format | dspace |
| spelling | uthm.eprints-43732021-12-02T03:51:52Z http://eprints.uthm.edu.my/4373/ Simulation of undular bores evolution with damping Tiong, W.K. Tay, K.G. Ong, C.T. Chiew, K.L. TA630-695 Structural engineering (General) Propagation of undular bores with damping is considered in the framework of perturbed extended Korteweg-de Vries (peKdV) equation. Two types of damping terms for the peKdV equation, namely linear and Chezy frictional terms, which describe the turbulent boundary layers in the fluid flow are considered. Solving the peKdV equation numerically using the method of lines shows that under the influence of damping, the lead-ing solitary wave of the undular bores will split from the nonlinear wavetrain, propagates and behaves like an isolated solitary wave. The amplitude of the leading wave will remain the same for some times before it starts to decay again at a larger time. In general the amplitude of the leading wave and the mean level across the undular bore decreases due to the effect of damping. Watam Press 2017 Article PeerReviewed text en http://eprints.uthm.edu.my/4373/1/AJ%202017%20%28144%29%20Simulation%20of%20undular%20bores%20evolution%20with%20damping.pdf Tiong, W.K. and Tay, K.G. and Ong, C.T. and Chiew, K.L. (2017) Simulation of undular bores evolution with damping. Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications & Algorithms, 24. pp. 113-126. ISSN 1492-8760 |
| spellingShingle | TA630-695 Structural engineering (General) Tiong, W.K. Tay, K.G. Ong, C.T. Chiew, K.L. Simulation of undular bores evolution with damping |
| title | Simulation of undular bores evolution with damping |
| title_full | Simulation of undular bores evolution with damping |
| title_fullStr | Simulation of undular bores evolution with damping |
| title_full_unstemmed | Simulation of undular bores evolution with damping |
| title_short | Simulation of undular bores evolution with damping |
| title_sort | simulation of undular bores evolution with damping |
| topic | TA630-695 Structural engineering (General) |
| url | http://eprints.uthm.edu.my/4373/1/AJ%202017%20%28144%29%20Simulation%20of%20undular%20bores%20evolution%20with%20damping.pdf |
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