2010
DOI: 10.1007/s00773-010-0111-0
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Effects of excitation angle and coupled heave–surge–sway motion on fluid sloshing in a three-dimensional tank

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Cited by 27 publications
(18 citation statements)
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“…All computations use the dimensionless equations in the --coordinate system. All the numerical results presented in this work are in the dimensionless form [28], and the dimensionless equations can be referred to [24,29] that are omitted in the text. Central difference approximations are used for the space derivatives, except at the boundary where the fictitious cell approach [24,27] is employed.…”
Section: The Coordinate Transformation and Computational Algorithmmentioning
confidence: 99%
See 2 more Smart Citations
“…All computations use the dimensionless equations in the --coordinate system. All the numerical results presented in this work are in the dimensionless form [28], and the dimensionless equations can be referred to [24,29] that are omitted in the text. Central difference approximations are used for the space derivatives, except at the boundary where the fictitious cell approach [24,27] is employed.…”
Section: The Coordinate Transformation and Computational Algorithmmentioning
confidence: 99%
“…The Crank-Nicholson second order finite difference scheme and the Gauss-Seidel point successive overrelaxation iterative procedure are used to calculate the velocity and pressure, respectively. The detailed numerical scheme is similar to that reported [24,28,29] and is omitted here.…”
Section: The Coordinate Transformation and Computational Algorithmmentioning
confidence: 99%
See 1 more Smart Citation
“…Unlike massive studies for sloshing in rectangular or cylindrical containers (e.g. Wu et al (1998), Chern et al (1999), Celebi and Akyildiz (2002), Turnbull et al (2003), Frandsen (2004), Kishev et al (2006), Chen et al (2007), Liu and Lin (2008), Chen and Wu (2011) and Zhang et al (2015)), such wedge-shaped tanks are rarely investigated from the open literature. The present study aims to help filling this gap.…”
Section: Introductionmentioning
confidence: 98%
“…The iterative procedure is associated with the accuracy of the numerical results and the convergence speed of the present numerical scheme. In order to reduce the iterative numbers of each time step, a developed new iterative procedure similar to SIMPLEC algorithm is used [25] and a special treatment of iterative procedure on the implicit part of Crank-Nicholson scheme was implemented.…”
Section: Mathematical Formulation and Numerical Approachmentioning
confidence: 99%