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...
| Main Authors: | , , , |
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| Format: | Article |
| Published: |
Watam Press
2017
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| Subjects: | |
| Online Access: | https://www.researchgate.net/publication/316213153_Simulation_of_undular_bores_evolution_with_damping https://www.researchgate.net/publication/316213153_Simulation_of_undular_bores_evolution_with_damping |
| Summary: | 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. |
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