Run-up on a body in waves and current. Fully nonlinear and finite-order calculations

Büchmann, Bjarne; Ferrant, P.; Skourup, Jesper

doi:10.1016/s0141-1187(00)00015-8

Cited by 24 publications

(10 citation statements)

References 10 publications

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“…Higher order in nonlinearity can in principle be obtained using the free-space Rankine Green function and larger portions of the free surface (e.g. [5,6,7,8]). …”

Section: Introductionmentioning

confidence: 99%

On the accuracy of finite-difference solutions for nonlinear water waves

2006

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Abstract. This paper considers the relative accuracy and efficiency of low-and high-order finite difference discretisations of the exact potential flow problem for nonlinear water waves. The method developed is an extension of that employed by [1] to allow arbitrary order finite difference schemes and a variable grid spacing. Time-integration is performed using a fourth-order Runge-Kutta scheme. The linear accuracy, stability and convergence properties of the method are analysed and highorder schemes with a stretched vertical grid are found to be advantageous relative to second-order schemes on an even grid. Comparison with highly accurate periodic solutions shows that these conclusions carry over to nonlinear problems and that the advantages of high-order schemes improve with both increasing nonlinearity and increasing accuracy tolerance. The combination of non-uniform grid spacing in the vertical and fourth-order schemes are suggested as optimal for engineering purposes.

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“…Higher order in nonlinearity can in principle be obtained using the free-space Rankine Green function and larger portions of the free surface (e.g. [5,6,7,8]). …”

Section: Introductionmentioning

confidence: 99%

On the accuracy of finite-difference solutions for nonlinear water waves

2006

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“…If it is not updated, it is called a frozen coefficient method; otherwise, it is called a fully updated method. The CPU time spent on updating in the fully updated method is roughly P e e r R e v i e w O n l y 22 equal to 4 times that in the frozen coefficient method. However, the frozen coefficient method may not lead to stable and reasonable results for problems about large motions of floating bodies, as indicated by Koo & Kim [17].…”

Section: Isitimfb-m Proceduresmentioning

confidence: 99%

QALE‐FEM for numerical modelling of non‐linear interaction between 3D moored floating bodies and steep waves

Yan

2008

Numerical Meth Engineering

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This is the accepted version of the paper.This version of the publication may differ from the final published version. applied to 2D floating bodies), the complex unstructured mesh is generated only once at the beginning of calculation and is moved to conform to the motion of boundaries at other time steps by using a robust spring analogy method specially suggested for this kind of problems, avoiding the necessity of high cost remeshing. Permanent repository linkIn order to tackle challenges associated with 3D floating bodies, several new numerical techniques are developed in this paper. These include the technique for moving the mesh near body surfaces, the scheme for calculating velocity on 3D body surfaces and the ISITIMFB-M (Iterative Semi-Implicit Time IntegrationMethod for Floating Bodies -Modified) procedure that is more efficient for dealing with the full coupling between waves and bodies. Using the newly developed techniques and methods, various cases for 3Dfloating bodies with motions of up to 6 degrees of freedom (DoFs) are simulated. These include a SPAR platform, a barge-type floating body and one or two Wigley Hulls in head seas or in oblique waves. For some selected cases, the numerical results are compared with experimental data available in the public domain and satisfactory agreements are achieved. Many results presented in this paper have not been found elsewhere to the best knowledge of the authors.

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“…More details on the implementation of this model, as well as extensive results in the case of regular wave di raction with or without current were previously reported, see e.g. References [9][10][11].…”

Section: Fully Non-linear Diffraction Modelmentioning

confidence: 99%

“…Reference [9]. Fully non-linear wave-current-body interaction problems were also solved using this scheme [10], with careful cross-validation with ÿnite-order calculation [11].…”

Section: Introductionmentioning

confidence: 99%

Non‐linear time‐domain models for irregular wave diffraction about offshore structures

Ferrant

Touzé

Pelletier

2003

Numerical Methods in Fluids

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SUMMARYThis paper is devoted to the numerical simulation of non-linear wave di raction by three-dimensional (3D) surface-piercing structures in the time domain. Two di erent methods are presented. First a secondorder di raction model is described, in which a boundary-element method combined with a time-stepping procedure are used to solve the ÿrst-and second-order di raction problems in the time domain. The Stokes expansion approach of the free surface non-linearities results in relatively moderate simulation times, so that long simulations in irregular incident waves become feasible. The model has previously been systematically validated by comparison with available semi-analytical frequency domain results on regular wave di raction about simpliÿed geometries. In the present paper, the exibility and stability of the time-domain approach to second-order wave di raction are further demonstrated by the simulation of bichromatic wave di raction over a large number of incident wave periods. The second part of the paper addresses the problem of fully non-linear wave di raction. Again, the solution procedure is based on a boundary element method (BEM) solution of the boundary-value problem in the time domain, but the non-linear boundary conditions are accounted for without any approximation this time. In this fully non-linear di raction model, an explicit description of the incident wave is exploited to solve the problem for the di racted ow only. This approach has a number of practical advantages in terms of accuracy and computational e ciency. In previous publications related to this approach stream-function theory was utilized to model non-linear regular incident waves. In this paper, irregular two-dimensional (2D) incident waves are modelled by means of a recently developed fully non-linear time-domain pseudospectral formulation. An original coupling of this 2D pseudospectral model with the 3D non-linear BEM model is proposed, and its e ectiveness is shown on the case of 2D wave packets interacting with a vertical bottom-mounted cylinder.

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Run-up on a body in waves and current. Fully nonlinear and finite-order calculations

Cited by 24 publications

References 10 publications

On the accuracy of finite-difference solutions for nonlinear water waves

On the accuracy of finite-difference solutions for nonlinear water waves

QALE‐FEM for numerical modelling of non‐linear interaction between 3D moored floating bodies and steep waves

Non‐linear time‐domain models for irregular wave diffraction about offshore structures

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