Acoustic isogeometric boundary element analysis

Simpson, Robert Napier; Scott, Michael A.; Taus, Matthias; Thomas, Derek C.; Lian, Haojie

doi:10.1016/j.cma.2013.10.026

Cited by 210 publications

(122 citation statements)

References 60 publications

Supporting

Mentioning

118

Contrasting

Unclassified

Order By: Relevance

“…Some research has already been conducted in the field of isogeometric boundary elements for acoustic problems by Simpson et al [23]. The results showed IGABEM to have superior accuracy compared to conventional BEM schemes.…”

Section: Introductionmentioning

confidence: 91%

“…These points would typically be used for collocation, which is possible using the conventional BIE or RBIE and CHIEF; conversely, the Burton-Miller formulation requires the normals at collocation points for the hyper-singular equation. If using the Burton-Miller formulation, these collocation points have to be adjusted as in [23].…”

Section: Integration and Solutionmentioning

confidence: 99%

See 1 more Smart Citation

Extended isogeometric boundary element method (XIBEM) for three-dimensional medium-wave acoustic scattering problems

Peake

Trevelyan

Coates

2015

Computer Methods in Applied Mechanics and Engineering

View full text Add to dashboard Cite

Publisher's copyright statement: NOTICE: this is the author's version of a work that was accepted for publication in Computer Methods in Applied Mechanics and Engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be re ected in this document. Changes may have been made to this work since it was submitted for publication. Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. In this paper, the collocation XIBEM formulation is described and numerical results given. The numerical results are compared against closed-form or converged solutions. Comparisons are made against the conventional boundary element method and the non-enriched isogeometric BEM (IGABEM).When compared to non-enriched boundary element simulations, using XIBEM significantly reduces the number of degrees of freedom required to obtain a solution of a given error; thus, with a fixed computational resource, problems of a shorter wavelength can be solved.

show abstract

Section: Introductionmentioning

confidence: 91%

Section: Integration and Solutionmentioning

confidence: 99%

Extended isogeometric boundary element method (XIBEM) for three-dimensional medium-wave acoustic scattering problems

Peake

Trevelyan

Coates

2015

Computer Methods in Applied Mechanics and Engineering

View full text Add to dashboard Cite

show abstract

“…However, we relax the continuity condition for the position of control points such as these are allowed to lie in sharp edges and corners. As demonstrated in [65], this relaxation does not reduce the accuracy of the results and it facilitates the special treatment of the velocity in these locations, as shown in Section 4.3.…”

Section: Isogeometric Bemmentioning

confidence: 97%

“…In the context of IGA-BEM Scott et al [58] extended the analysissuitable T-spline to unstructured meshes for elastostatic problems and developed a collocation procedure based on a generalization of the Grenville abscissae. Simpson et al [65] applied this method to acoustic problems and demonstrated the higher accuracy in comparison to the conventional Lagrange discretization due to the superior geometric approximation. Ginnis et al [66] exploited IGA-BEM based on the T-spline to analyse in the ship wave resistance problem and Kostas et al [67] used this method to optimize the hull shape.…”

Section: Introductionmentioning

confidence: 99%

A 3d Isogeometrical Boundary Element Analysis for Non-Linear Gravity Wave Propagation

Maestre¹,

Pallarès²,

Cuesta³

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

View full text Add to dashboard Cite

Abstract. In this paper we describe a three-dimensional Isogeometric BEM in the time domain based on the T-spline and Non Uniform Rational B-Splines (NURBS) basis to study the free surface behavior. Traditionally, the Lagrange polynomials have been used to discretize the geometry and the BEMs variables. The Lagrange basis are discontinues across the elements although the physical variables are continuous. In dynamics problems with high mesh distortions this approach can produce numerical instabilities that can be quickly propagated. This problem could be overcome using T-spline or NURB basis. The main advantages of this approach are: (1) the control of the continuity and smoothness of the T-spline and NURBS basis, which makes the model numerically stable without the need of artificial smooth techniques;(2) the high order geometrical approximation by non-rational splines;(3) the refinement capabilities without affecting the geometry and BEM's variables; and (4) the direct integration with computer aid geometrical design tools. We use the concept of the Bézier extraction operation which provides an element point of view of the T-Spline and NURBS similar to the traditional finite element. The boundary integral Equation is solved at each time step by the GMRES algorithm and the time marching scheme is performed with a fourth-order Runge-Kutta method to update the model. Additionally, the hydrodynamic force is calculated by an auxiliary boundary equation. Some numerical benchmark examples are analysed to show the accuracy and the stability of the method 7967 J. Maestre, J. Pallarés and I. Cuesta

show abstract

“…In order to overcome these difficulties, a new approach for exploiting Isogeometric analysis has been presented. It is based on the boundary integral formulation of the problem considered, where the governing equations and the boundary conditions of the problem are transformed into a boundary integral equation (weakly singular or singular) on the boundary (or a portion of the boundary) using the Green's function of the problem to be treated [16,17,4,18,19,20,21]. This approach is widely used in free-surface hydrodynamics, and especially in exterior potential-flow problems, due to the infinite extent of the fluid domain.…”

Section: Introductionmentioning

confidence: 99%

Isogeometric boundary-element analysis for the wave-resistance problem using T-splines

Ginnis

Κώστας

Politis

et al. 2014

Computer Methods in Applied Mechanics and Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

Acoustic isogeometric boundary element analysis

Cited by 210 publications

References 60 publications

Extended isogeometric boundary element method (XIBEM) for three-dimensional medium-wave acoustic scattering problems

Extended isogeometric boundary element method (XIBEM) for three-dimensional medium-wave acoustic scattering problems

A 3d Isogeometrical Boundary Element Analysis for Non-Linear Gravity Wave Propagation

Isogeometric boundary-element analysis for the wave-resistance problem using T-splines

Contact Info

Product

Resources

About