A comparison of the semidiscontinuous element and multiple node with auxiliary boundary collocation approaches for the boundary element method

Subia, Samuel R.; Ingber, M. S.; Mitra, Ambar K.

doi:10.1016/0955-7997(95)00003-7

Cited by 15 publications

(17 citation statements)

References 4 publications

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“…[16][17][18][19] we conclude that the potential component predominates in the results for the second order elevation. Taken at face value, regular incident waves of amplitude 1 m, if lying within a series of narrow frequency bands, are predicted to induce waves in the gap of some 4-5 m amplitude.…”

Section: Motions and Wave Elevations In Head Seasmentioning

confidence: 86%

“…For all geometric quantities, continuous higher order boundary elements are adopted to simulate the surface of the integration domain. For the physical quantities on the surface of the body and the interior part of the inner water plane, continuous higher order boundary elements are adopted; for the physical quantities on the boundary of the inner water plane, partially discontinuous higher order boundary elements are adopted (as described in [18]). By this means, not only is geometric continuity ensured, but also the physical discontinuity on the interface of the body surface and the inner water plane is retained.…”

Section: Avoidance Of Irregular Frequenciesmentioning

confidence: 99%

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Wave driven free surface motion in the gap between a tanker and an FLNG barge

Sun

Taylor

2015

Applied Ocean Research

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a b s t r a c tWhen two vessels are moored side-by-side with a narrow gap between them, intense free surface motions may be excited in the gap as a result of complex hydrodynamic interactions. These influence the motions of the two vessels, and the forces in any moorings. The present paper uses first and second order wave diffraction analysis to investigate this phenomenon. Key theoretical aspects of the numerical analysis are first summarised, including the vital need to suppress "irregular frequency" effects; and results are given to validate the code used. The case of a tanker alongside a large floating FLNG barge is then considered in detail.

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Section: Motions and Wave Elevations In Head Seasmentioning

confidence: 86%

Section: Avoidance Of Irregular Frequenciesmentioning

confidence: 99%

Wave driven free surface motion in the gap between a tanker and an FLNG barge

Sun

Taylor

2015

Applied Ocean Research

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“…Some interior nodes within ''discontinuous elements'' may be noted adjacent to the waterline in Fig. 2(b) and (d): these are used in the procedure implemented in DIFFRACT to avoid the awkward problem of irregular frequencies (Subia et al, 1995;Sun et al, 2008a). Convergence has been carefully considered in obtaining the results below.…”

Section: Summary Of Numerical Methodsmentioning

confidence: 99%

First- and second-order analysis of resonant waves between adjacent barges

Sun

Taylor

2010

Journal of Fluids and Structures

119

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Water wave diffraction by two parallel closely spaced rectangular barges is investigated, to characterise the general problem of LNG offloading from a floating plant into a shuttle tanker. It is well known that large free-surface motions, in the gap between the hulls, are predicted by diffraction theory; in model tests amplitudes of at least five times that of the incident wave amplitude have been observed. A second-order diffraction calculation is used, based on a quadratic boundary element method, to examine the behaviour of this characteristic configuration and to examine the influence of spacing between the hulls. The free-surface near-resonant behaviour at first and second order is interpreted in the context of simple linear analytical solutions for three-dimensional flow in an open-ended gap.

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“…This is like what happens in the semi-discontinuous element approach, except in that case the nodal points are also moved away from the geometrical boundaries and corners (cf. Subia et al [9] for a complete description). Our approach neatly circumvents problems with collocating the equations at points corresponding to a double or triple node.…”

Section: Boundary Element Solution Of the Model Equationsmentioning

confidence: 96%