Nonlinear water waves propagating in permeable structure

Kai Cheng Hu, Shih Chun Hsiao, Hwung Hweng Hwung

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


This paper presents new numerical results based on two-dimensional depth-integrated model equations developed by Hu et al. (2008) for describing nonlinear water waves propagating in a permeable sub-aerial structure with an uneven impermeable topography. The water waves travelling into the porous media can be described by Darcy's formula (e.g. Parlange et al., 1984; Liu & Wen, 1997; Artiles & Kraenkel, 2007) with the assumption of negligible inertial force. However, as the inertial force becomes significant, more sophisticated models that include inertial force and turbulent effects are required (e.g. Hsiao et al., 2002, 2005; Cruz & Chen, 2007; Hu et al., 2008). To validate the applicability of the present approach, mathematic equations are termed as a new numerical model and also be well-validated by comparing the linear wave theory. The nonlinear property of the proposed equation is calibrated against the weakly nonlinear theory of Liu & Wen. Good agreement suggests that the present model equations can be applied to simulate nonlinear waves propagating into a porous structure. A set of simulations was performed to explore the fundamental behavior of inertial force. The effect of wave nonlinearity is also addressed.

Original languageEnglish
Title of host publicationThe Proceedings of the 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE
Number of pages8
Publication statusPublished - 2009 Dec 1
Event19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE - Osaka, Japan
Duration: 2009 Jun 212009 Jun 26

Publication series

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



All Science Journal Classification (ASJC) codes

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


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