Wave-Power Extraction by an Oscillating Water Column Device over a Step Bottom

This study investigates wave-power extraction by an oscillating water column (OWC) device over a porous-to-rigid step bottom using linearized water-wave theory. The interaction between water waves and the OWC device is analyzed by solving the governing boundary-value problem with the eigenfunction expansion method (EEM) and the boundary element method (BEM). The study examines the effects of key parameters, including the porous effect parameter of the bottom, OWC chamber width, and barrier height, on the device’s efficiency. The results indicate that the porous effect parameter significantly influences OWC performance, affecting resonance characteristics and efficiency oscillations. A wider OWC chamber enhances oscillatory efficiency patterns, leading to multiple peaks of full and zero efficiency. The efficiency shifts towards lower wavenumbers with increasing step depth and barrier height but becomes independent of these parameters at higher wavenumbers. Additionally, incident angle plays a crucial role, decreasing efficiency at lower angles and exhibiting oscillatory behavior at higher angles. Furthermore, susceptance and conductance follow an oscillatory pattern concerning the gap between the porous bottom and the OWC chamber as well as chamber width. The porous effect parameter strongly modulates these oscillations. The findings provide new insights for enhancing OWC efficiency with complex bottom topography.

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Publication Details

Journal
Mathematics
Published
2025-03-25
DOI
https://doi.org/10.3390/math13071067
Citations
6
Primary Topic
Wave and Wind Energy Systems
Type
article
Field-Weighted Citation Impact
6.87
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article

Wave-Power Extraction by an Oscillating Water Column Device over a Step Bottom

Gagan Kumar Sahoo, Harekrushna Behera, Tai‐Wen Hsu
6 citations
Mathematics
Wave and Wind Energy Systems
6.87
article

Wave-Power Extraction by an Oscillating Water Column Device over a Step Bottom

Gagan Kumar Sahoo, Harekrushna Behera, Tai‐Wen Hsu
article en
6 citations

Abstract

This study investigates wave-power extraction by an oscillating water column (OWC) device over a porous-to-rigid step bottom using linearized water-wave theory. The interaction between water waves and the OWC device is analyzed by solving the governing boundary-value problem with the eigenfunction expansion method (EEM) and the boundary element method (BEM). The study examines the effects of key parameters, including the porous effect parameter of the bottom, OWC chamber width, and barrier height, on the device’s efficiency. The results indicate that the porous effect parameter significantly influences OWC performance, affecting resonance characteristics and efficiency oscillations. A wider OWC chamber enhances oscillatory efficiency patterns, leading to multiple peaks of full and zero efficiency. The efficiency shifts towards lower wavenumbers with increasing step depth and barrier height but becomes independent of these parameters at higher wavenumbers. Additionally, incident angle plays a crucial role, decreasing efficiency at lower angles and exhibiting oscillatory behavior at higher angles. Furthermore, susceptance and conductance follow an oscillatory pattern concerning the gap between the porous bottom and the OWC chamber as well as chamber width. The porous effect parameter strongly modulates these oscillations. The findings provide new insights for enhancing OWC efficiency with complex bottom topography.

MathematicsVol. 13(7)
National Taiwan Ocean University (TW)
Openalex Percentile: Top 3%
Wave and Wind Energy Systems
6.87
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Wave-Power Extraction by an Oscillating Water Column Device over a Step Bottom — Gagan Kumar Sahoo, Harekrushna Behera, et al. · Mathematics (2025) | TGRS Research Map | TGRS