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A mixed Eulerian-Lagrangian spectral element method for nonlinear wave interaction with fixed structures
DTU Technical University of Denmark, Denmark.
DTU Technical University of Denmark, Denmark.
RISE - Research Institutes of Sweden, Safety and Transport, Safety. Aalborg University, Denmark.
2019 (English)In: Water Waves, ISSN 2523-367X, Vol. 1, p. 315-342Article in journal (Refereed) Published
Abstract [en]

We present a high-order nodal spectral element method for the two-dimensional simulationof nonlinearwaterwaves. The model is based on themixed Eulerian–Lagrangian(MEL) method. Wave interaction with fixed truncated structures is handled usingunstructured meshes consisting of high-order iso-parametric quadrilateral/triangularelements to represent the body surfaces as well as the free surface elevation. A numericaleigenvalue analysis highlights that using a thin top layer of quadrilateral elementscircumvents the general instability problem associated with the use of asymmetricmesh topology.We demonstrate howto obtain a robustMELscheme for highly nonlinearwavesusing an efficient combination of (i) global L2 projectionwithout quadratureerrors, (ii) mild modal filtering and (iii) a combination of local and global re-meshingtechniques. Numerical experiments for strongly nonlinear waves are presented. Theexperiments demonstrate that the spectral element model provides excellent accuracyin prediction of nonlinear and dispersive wave propagation. The model is also shownto accurately capture the interaction between solitary waves and fixed submerged andsurface-piercing bodies. The wave motion and the wave-induced loads compare wellto experimental and computational results from the literature.

Place, publisher, year, edition, pages
Springer, 2019. Vol. 1, p. 315-342
Keywords [en]
Nonlinear and dispersive free surface waves · Wave–structure
National Category
Marine Engineering
Identifiers
URN: urn:nbn:se:ri:diva-40948DOI: 10.1007/s42286-019-00018-5OAI: oai:DiVA.org:ri-40948DiVA, id: diva2:1376651
Funder
Swedish Energy Agency, 41125-1
Note

This work contributed to the activities in the research project Multi-fidelity Decisionmaking tools forWave Energy Systems (MIDWEST) that is supported by the OCEAN-ERANET program.TheDTUComputingCenter (DCC) supported theworkwith access to computing resources.Claes Eskilssonwas partially supported by the Swedish Energy Agency through Grant no. 41125-1.

Available from: 2019-12-10 Created: 2019-12-10 Last updated: 2019-12-12Bibliographically approved

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CiteExportLink to record
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v. 2.35.9