## A comparative study of two fast nonlinear free-surface water wave models

Publication: Research - peer-review › Journal article – Annual report year: 2011

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**A comparative study of two fast nonlinear free-surface water wave models.** / Ducrozet, Guillaume; Bingham, Harry B.; Engsig-Karup, Allan Peter; Bonnefoy, Félicien; Ferrant, Pierre.

Publication: Research - peer-review › Journal article – Annual report year: 2011

### Harvard

*International Journal for Numerical Methods in Fluids*, vol 69, pp. 1818-1834. DOI: 10.1002/fld.2672

### APA

*International Journal for Numerical Methods in Fluids*,

*69*, 1818-1834. DOI: 10.1002/fld.2672

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### MLA

*International Journal for Numerical Methods in Fluids*. 2012, 69. 1818-1834. Available: 10.1002/fld.2672

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### Bibtex

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### RIS

TY - JOUR

T1 - A comparative study of two fast nonlinear free-surface water wave models

AU - Ducrozet,Guillaume

AU - Bingham,Harry B.

AU - Engsig-Karup,Allan Peter

AU - Bonnefoy,Félicien

AU - Ferrant,Pierre

PY - 2012

Y1 - 2012

N2 - This paper presents a comparison in terms of accuracy and efficiency between two fully nonlinear potential flow solvers for the solution of gravity wave propagation. One model is based on the high-order spectral (HOS) method, whereas the second model is the high-order finite difference model OceanWave3D. Although both models solve the nonlinear potential flow problem, they make use of two different approaches. The HOS model uses a modal expansion in the vertical direction to collapse the numerical solution to the two-dimensional horizontal plane. On the other hand, the finite difference model simply directly solves the three-dimensional problem. Both models have been well validated on standard test cases and shown to exhibit attractive convergence properties and an optimal scaling of the computational effort with increasing problem size. These two models are compared for solution of a typical problem: propagation of highly nonlinear periodic waves on a finite constant-depth domain. The HOS model is found to be more efficient than OceanWave3D with a difference dependent on the level of accuracy needed as well as the wave steepness. Also, the higher the order of the finite difference schemes used in OceanWave3D, the closer the results come to the HOS model.

AB - This paper presents a comparison in terms of accuracy and efficiency between two fully nonlinear potential flow solvers for the solution of gravity wave propagation. One model is based on the high-order spectral (HOS) method, whereas the second model is the high-order finite difference model OceanWave3D. Although both models solve the nonlinear potential flow problem, they make use of two different approaches. The HOS model uses a modal expansion in the vertical direction to collapse the numerical solution to the two-dimensional horizontal plane. On the other hand, the finite difference model simply directly solves the three-dimensional problem. Both models have been well validated on standard test cases and shown to exhibit attractive convergence properties and an optimal scaling of the computational effort with increasing problem size. These two models are compared for solution of a typical problem: propagation of highly nonlinear periodic waves on a finite constant-depth domain. The HOS model is found to be more efficient than OceanWave3D with a difference dependent on the level of accuracy needed as well as the wave steepness. Also, the higher the order of the finite difference schemes used in OceanWave3D, the closer the results come to the HOS model.

KW - Ocean-wave3D

KW - Hydrodynamics

KW - Water waves

KW - High-order finite differences

KW - High-order spectral

KW - Numerical comparisons

U2 - 10.1002/fld.2672

DO - 10.1002/fld.2672

M3 - Journal article

VL - 69

SP - 1818

EP - 1834

JO - International Journal for Numerical Methods in Fluids

T2 - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

SN - 0271-2091

ER -