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 considere...
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| Format: | Article |
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Watam Press
2017
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| _version_ | 1796862444363055104 |
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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 | ePrints |
| 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 | 2024-03-05T20:11:43Z |
| format | Article |
| id | utm.eprints-76099 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T20:11:43Z |
| publishDate | 2017 |
| publisher | Watam Press |
| record_format | dspace |
| spelling | utm.eprints-760992018-05-30T04:21:35Z http://eprints.utm.my/76099/ Simulation of undular bores evolution with damping Tiong, W. K. Tay, K. G. Ong, C. T. Chiew, K. L. QA Mathematics 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 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 and Algorithms, 24 (2). pp. 113-126. ISSN 1492-8760 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85017003976&partnerID=40&md5=c41f783a06edfb25da1dc2cee85883db |
| spellingShingle | QA Mathematics 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 | QA Mathematics |
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