An unsteady 3D Isogeometrical Boundary Element Analysis applied to nonlinear gravity waves

Maestre, Jorge; Cuesta, Ildefonso; Pallarès, Jordi

doi:10.1016/j.cma.2016.06.031

Cited by 10 publications

(2 citation statements)

References 87 publications

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“…The boundary element method (BEM) has been widely used for solving engineering and scientific problems [1][2][3][4][5][6][7][8][9][10][11][12][13]. Compared with the finite element method (FEM), the BEM is more attractive for its dimension reduction feature and higher accuracy.…”

Section: Introductionmentioning

confidence: 99%

A new implementation of BEM by an expanding element interpolation method

Zhang

Han

Lin

et al. 2017

Engineering Analysis with Boundary Elements

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A new implementation of boundary element method (BEM) by an expanding element interpolation method is presented in this paper. The expanding element is achieved by collocating virtual nodes along the perimeter of the traditional discontinuous element. With the virtual nodes, both continuous and discontinuous fields on the domain boundary can be accurately approximated, and the interpolation accuracy increases by two orders compared with the original discontinuous element. The boundary integral equations are built up for the inner nodes of the traditional discontinuous elements, only (taking these nodes as source points), while the virtual nodes are used for connecting the shape functions at the source points, thus the size of the final system of linear equations will not increase. The expanding element inherits the advantages of both the continuous and discontinuous elements while overcomes their disadvantages. Successful numerical examples with different boundary conditions have demonstrated that our new implementation is very encouraging and promising.

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Section: Introductionmentioning

confidence: 99%

A new implementation of BEM by an expanding element interpolation method

Zhang

Han

Lin

et al. 2017

Engineering Analysis with Boundary Elements

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“…To overcome this, Harris et al [91] utilize unstructured grids, that are more flexible in handling surface-piercing complex geometries, but employ lower accuracy linear elements. More recently, Harris et al [93] extend the unstructured grid approach, while also using high-order elements, by using B-splines, inspired by the work using T-splines in Maestre et al [94]. Abbasnia and Ghiasi [95] examine the stability and accuracy of Non-Uniform Rational B-Splines (NURBS) to model the free surface, showing a reduction in computational nodes and simulation time, as well as advantages in capturing steep nonlinear waves with sharp free surface mutations.…”

mentioning

confidence: 99%

Efficient Nonlinear Hydrodynamic Models for Wave Energy Converter Design—A Scoping Study

Davidson

Costello²

2020

JMSE

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This review focuses on the most suitable form of hydrodynamic modeling for the next generation wave energy converter (WEC) design tools. To design and optimize a WEC, it is estimated that several million hours of operation must be simulated, perhaps one million hours of WEC simulation per year of the R&D program. This level of coverage is possible with linear potential flow (LPF) models, but the fidelity of the physics included is not adequate. Conversely, while Reynolds averaged Navier–Stokes (RANS) type computational fluid dynamics (CFD) solvers provide a high fidelity representation of the physics, the increased computational burden of these models renders the required amount of simulations infeasible. To scope the fast, high fidelity options, the present literature review aims to focus on what CFD theories exist intermediate to LPF and RANS as well as other modeling options that are computationally fast while retaining higher fidelity than LPF.

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