Propagation of solitary waves over permeable rippled beds

Chih Hsin Chen, Hsing Han Chang, Ching Jer Huang

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The unsteady two-dimensional Navier-Stokes equations and Navier-Stokes type model equations for porous flow were solved numerically to simulate the propagation of solitary waves over a permeable rippled bed. The free surface boundary conditions and the interfacial boundary conditions between the water and the porous bed are in complete form. A boundary-fitted coordinate system was used in this model. The accuracy of the numerical scheme was verified by comparing the numerical results for the spatial distribution of wave amplitudes on the impermeable and permeable rippled bed at resonant conditions with the analytical solutions. Our numerical results showed that when the crest of a solitary wave propagates into the ripple section, flow separation with reattachment was formed at the lee side of each ripple crest. The flow separation develops gradually into a clockwise vortex with a dimension that covers the whole region between two successive ripple crests. The trajectories of fluid particles above the permeable rippled bed are similar to those on the impermeable rippled bed. Although all of the fluid particles on the impermeable rippled bed move eventually in the opposite direction of wave, some particles on the porous rippled bed do shift in the wave direction.

Original languageEnglish
Title of host publicationProceedings of The Seventeenth 2007 International Offshore and Polar Engineering Conference, ISOPE 2007
Number of pages6
Publication statusPublished - 2007
Event17th 2007 International Offshore and Polar Engineering Conference, ISOPE 2007 - Lisbon, Portugal
Duration: 2007 Jul 12007 Jul 6

Publication series

NameProceedings of the International Offshore and Polar Engineering Conference
ISSN (Print)1098-6189
ISSN (Electronic)1555-1792


Other17th 2007 International Offshore and Polar Engineering Conference, ISOPE 2007

All Science Journal Classification (ASJC) codes

  • Energy Engineering and Power Technology
  • Ocean Engineering
  • Mechanical Engineering


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