Why dual boundary element method is necessary?

Chen, Jeng‐Tzong; Yueh, Ching-Yun; Chang, Yu-Lung; Wen, Chun-Chiang

doi:10.1016/j.enganabound.2016.11.011

Cited by 40 publications

(5 citation statements)

References 36 publications

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“…As there exists no literature for the discussed problem having a quadratic pressure drop, the validation is carried out with an independently developed numerical code based on Dual Boundary Element Method (DBEM). 32 An excellent agreement confirms the integrity of the developed numerical code. Though the DBEM allows the problem-solving in a single domain, the major reason for not adopting in the present study as a primary approach is due to a large number of elements in the degenerate boundary and it is observed that the convergence time is comparatively higher than a problem formulated in the multi-domain method.…”

Section: Validation Of the Bem Code Having Quadratic Pressure Drop Bosupporting

confidence: 67%

“…As there exists no literature for the discussed problem having a quadratic pressure drop, the validation is carried out with an independently developed numerical code based on Dual Boundary Element Method (DBEM). 32 Figure 4(a) shows a comparison between the results based on the MBEM and the DBEM numerical models. The test conditions are w / b = 0 . 5 , b / h = 1 , d / b = 0 . 7 , s / w = 2 , μ = 0 . 4 , H / λ = 0 . 1 , N = 3 . An excellent agreement confirms the integrity of the developed numerical code.…”

Section: Validation Of the Bem Code Having Quadratic Pressure Drop Bomentioning

confidence: 99%

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Gravity wave interaction with multiple submerged artificial reefs

Vijay

Neelamani

Nishad

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part M:

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In the present study, gravity wave interaction with a series of submerged artificial permeable reefs is analysed within the framework of linearised water wave theory. For wave past porous walls of the artificial reefs, a quadratic pressure drop is assumed to account for the wave energy dissipation due to the changes in wave height. The physical problem is handled for a solution using a numerical model based on the iterative multi-domain boundary element method and the developed numerical model is validated with known results in the literature. The iterative model is compared with the numerical model based on linear pressure drop boundary condition (i.e., Darcy law). The study reveals that the wave transmission reduces with the increase in the number of reef units. It is demonstrated that the transmission coefficient can be reduced to less than 0.5 when the number of reef units is greater than or equal to three for a relative height greater than 0.7, reef porosities less than 20% and for 0.4<k0h<3.0. Bragg reflection is observed when the porosity is in the range of 0 to 10% and above which the recurrent nature of wave reflection gradually fades away due to dissipation effects. The number of peaks occurring in the shallow and intermediate water depths is equal to the number of reef units wherein the maxima occur at the first frequency. A relative increase in the base width improves the energy losses but the rate of increase in energy loss decreases. The scattering coefficient pattern is oscillatory when the relative spacing between the barriers is varied and their hydrodynamic performance is invariant for higher relative base width.

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Section: Validation Of the Bem Code Having Quadratic Pressure Drop Bosupporting

confidence: 67%

“…As there exists no literature for the discussed problem having a quadratic pressure drop, the validation is carried out with an independently developed numerical code based on Dual Boundary Element Method (DBEM). 32 Figure 4(a) shows a comparison between the results based on the MBEM and the DBEM numerical models. The test conditions are w / b = 0 . 5 , b / h = 1 , d / b = 0 . 7 , s / w = 2 , μ = 0 . 4 , H / λ = 0 . 1 , N = 3 . An excellent agreement confirms the integrity of the developed numerical code.…”

Section: Validation Of the Bem Code Having Quadratic Pressure Drop Bomentioning

confidence: 99%

Gravity wave interaction with multiple submerged artificial reefs

Vijay

Neelamani

Nishad

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part M:

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“…Yueh et al [41] used the dual BEM to study the wave scattering of composite wave-shaped thin plates submerged in water and verified the numerical results with model experiments. Chen et al [42] systematically summarized the progress of the dual BEM in the research of zero-thickness obstacles and illustrated the mathematical and physical advantages of the dual BEM through three typical cases. Yueh et al [43] adopted the dual BEM to analyze the reflection and transmission of water waves, respectively, by a rectangular block, a single vertical thin barrier, a system of vertical, equally spaced thin barriers, and thin barriers of a specific shape.…”

Section: Introductionmentioning

confidence: 99%

Numerical and Experimental Study on the Bragg Reflection of Water Waves by Multiple Vertical Thin Plates

Ding

Yue

Sheng

et al. 2022

JMSE

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The Bragg reflection of water waves by multiple vertical thin plates is investigated numerically and experimentally. The problem of surface gravity wave interaction with multiple vertical thin plates is formulated mathematically under the assumption of linear water wave theory. Numerical results of the reflection and transmission coefficients are obtained based on the dual boundary element method and compared with the results in the literature. The characteristics of Bragg reflection are represented by the occurring condition, the primary reflection coefficient and the effective bandwidth. The effects of the number, the immerged depth and the spacing of the plates on the characteristics of Bragg reflection are further analyzed systematically. Model experiments are conducted and the experimental results are used to compare with the numerical results of Bragg reflection. This study can provide guidance on the design of multiple vertical thin plates as effective breakwaters by taking advantage of Bragg reflection.

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“…However, the conventional BEM has rank deficiency issues of influence matrices for problems having degenerate boundaries. In this regard, dual BEM plays a vital role in resolving the aforementioned rank deficiency problems (see [21] for details). Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Ref. [21] demonstrated that the degenerate boundary value problem that arises in the presence of a thick barrier could easily be solved using the dual boundary element method (DBEM). Ref.…”

Section: Introductionmentioning

confidence: 99%

Performance of an U-Shaped Oscillating Water Column Wave Energy Converter Device under Oblique Incident Waves

Trivedi

Koley

Panduranga

2021

Fluids

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The present study deals with the performance of an U-shaped oscillating water column device under the action of oblique incident waves. To solve the associated boundary value problem, the dual boundary element method (DBEM) is used. Various physical parameters associated with the U-shaped OWC device, such as the radiation susceptance and conductance coefficients, and the hydrodynamic efficiency, are analyzed for a wide range of wave and structural parameters. The study reveals that the resonance in the efficiency curve occurs for smaller values of wavenumber with an increase in chamber length, submergence depth of the front wall and opening duct, and width of the opening duct. It is observed that with appropriate combinations of the angle of incidence and incident wavenumber, more than 90% efficiency in the U-shaped OWC device can be achieved.

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Why dual boundary element method is necessary?

Cited by 40 publications

References 36 publications

Gravity wave interaction with multiple submerged artificial reefs

Gravity wave interaction with multiple submerged artificial reefs

Numerical and Experimental Study on the Bragg Reflection of Water Waves by Multiple Vertical Thin Plates

Performance of an U-Shaped Oscillating Water Column Wave Energy Converter Device under Oblique Incident Waves

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