A high-order and mesh-free computational model for non-linear water waves

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

48 Downloads (Pure)

Resumé

In this paper, we present the ongoing developments of a novel computational model for non-linear water waves that aims to provide a suitable framework for wave-structure interaction. The proposed model is based on radial basis function-generated finite differences, which allow for arbitrary and moving boundaries without the use of ghost nodes. In order to take advantage of the mesh-free setting, we propose a node generation strategy, suitable for moving boundaries. Numerical properties of the proposed model are investigated and finally the model is benchmarked. The proposed model is expected to provide a suitable computational framework for wave-structure interaction problems, due to its geometric flexibility and high-order nature.
OriginalsprogEngelsk
TitelProceedings of MARINE 2019 : VIII International Conference on Computational Methods in Marine Engineering
RedaktørerRickard Bensow, Jonas Ringsberg
Publikationsdato2019
StatusUdgivet - 2019
BegivenhedMARINE 2019 - VIII International Conference on Computational Methods in Marine Engineering - Göteborg, Sverige
Varighed: 13 maj 201915 maj 2019
Konferencens nummer: 8

Konference

KonferenceMARINE 2019 - VIII International Conference on Computational Methods in Marine Engineering
Nummer8
LandSverige
ByGöteborg
Periode13/05/201915/05/2019

Fingerprint

Water waves

Citer dette

Nielsen, M. E., Fornberg, B., & Damkilde, L. (2019). A high-order and mesh-free computational model for non-linear water waves. I R. Bensow, & J. Ringsberg (red.), Proceedings of MARINE 2019: VIII International Conference on Computational Methods in Marine Engineering
Nielsen, Morten Eggert ; Fornberg, Bengt ; Damkilde, Lars. / A high-order and mesh-free computational model for non-linear water waves. Proceedings of MARINE 2019: VIII International Conference on Computational Methods in Marine Engineering. red. / Rickard Bensow ; Jonas Ringsberg. 2019.
@inproceedings{22969da90bef42d98ccdbedcce633fc9,
title = "A high-order and mesh-free computational model for non-linear water waves",
abstract = "In this paper, we present the ongoing developments of a novel computational model for non-linear water waves that aims to provide a suitable framework for wave-structure interaction. The proposed model is based on radial basis function-generated finite differences, which allow for arbitrary and moving boundaries without the use of ghost nodes. In order to take advantage of the mesh-free setting, we propose a node generation strategy, suitable for moving boundaries. Numerical properties of the proposed model are investigated and finally the model is benchmarked. The proposed model is expected to provide a suitable computational framework for wave-structure interaction problems, due to its geometric flexibility and high-order nature.",
keywords = "Mesh-free methods, Radial basis function-generated finite differences, High-order, Node generation, Water waves",
author = "Nielsen, {Morten Eggert} and Bengt Fornberg and Lars Damkilde",
year = "2019",
language = "English",
editor = "Rickard Bensow and Jonas Ringsberg",
booktitle = "Proceedings of MARINE 2019",

}

Nielsen, ME, Fornberg, B & Damkilde, L 2019, A high-order and mesh-free computational model for non-linear water waves. i R Bensow & J Ringsberg (red), Proceedings of MARINE 2019: VIII International Conference on Computational Methods in Marine Engineering., Göteborg, Sverige, 13/05/2019.

A high-order and mesh-free computational model for non-linear water waves. / Nielsen, Morten Eggert; Fornberg, Bengt; Damkilde, Lars.

Proceedings of MARINE 2019: VIII International Conference on Computational Methods in Marine Engineering. red. / Rickard Bensow; Jonas Ringsberg. 2019.

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

TY - GEN

T1 - A high-order and mesh-free computational model for non-linear water waves

AU - Nielsen, Morten Eggert

AU - Fornberg, Bengt

AU - Damkilde, Lars

PY - 2019

Y1 - 2019

N2 - In this paper, we present the ongoing developments of a novel computational model for non-linear water waves that aims to provide a suitable framework for wave-structure interaction. The proposed model is based on radial basis function-generated finite differences, which allow for arbitrary and moving boundaries without the use of ghost nodes. In order to take advantage of the mesh-free setting, we propose a node generation strategy, suitable for moving boundaries. Numerical properties of the proposed model are investigated and finally the model is benchmarked. The proposed model is expected to provide a suitable computational framework for wave-structure interaction problems, due to its geometric flexibility and high-order nature.

AB - In this paper, we present the ongoing developments of a novel computational model for non-linear water waves that aims to provide a suitable framework for wave-structure interaction. The proposed model is based on radial basis function-generated finite differences, which allow for arbitrary and moving boundaries without the use of ghost nodes. In order to take advantage of the mesh-free setting, we propose a node generation strategy, suitable for moving boundaries. Numerical properties of the proposed model are investigated and finally the model is benchmarked. The proposed model is expected to provide a suitable computational framework for wave-structure interaction problems, due to its geometric flexibility and high-order nature.

KW - Mesh-free methods

KW - Radial basis function-generated finite differences

KW - High-order

KW - Node generation

KW - Water waves

M3 - Article in proceeding

BT - Proceedings of MARINE 2019

A2 - Bensow, Rickard

A2 - Ringsberg, Jonas

ER -

Nielsen ME, Fornberg B, Damkilde L. A high-order and mesh-free computational model for non-linear water waves. I Bensow R, Ringsberg J, red., Proceedings of MARINE 2019: VIII International Conference on Computational Methods in Marine Engineering. 2019