Unstructured spectral element model for dispersive and nonlinear wave propagation

Allan P. Engsig-Karup; Claes Eskilsson; Daniele Bigoni

Unstructured spectral element model for dispersive and nonlinear wave propagation

Allan P. Engsig-Karup, Claes Eskilsson, Daniele Bigoni

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

5 Citationer (Scopus)

Abstract

We introduce a new stabilized high-order and unstructured numerical model for modeling fully nonlinear and dispersive water waves. The model is based on a nodal spectral element method of arbitrary order in space and a σ-transformed formulation due to Cai, Langtangen, Nielsen and Tveito (1998). In the present paper we use a single layer of quadratic (in 2D) and prismatic (in 3D) elements. The model has been stabilized through a combination of over-integration of the Galerkin projections and a mild modal filter. We present numerical tests of nonlinear waves serving as a proof-of-concept validation for this new high-order model. The model is shown to exhibit exponential convergence even for very steep waves and there is a good agreement to analytic and experimental data.

Originalsprog	Engelsk
Titel	Proceedings of the 26th International Ocean and Polar Engineering Conference, ISOPE 2016
Antal sider	8
Vol/bind	2016-January
Forlag	The International Society of Offshore and Polar Engineers
Publikationsdato	2016
Sider	661-668
ISBN (Elektronisk)	9781880653883
Status	Udgivet - 2016
Udgivet eksternt	Ja
Begivenhed	26th Annual International Ocean and Polar Engineering Conference, ISOPE 2016 - Rhodes, Grækenland Varighed: 26 jun. 2016 → 1 jul. 2016

Konference

Konference	26th Annual International Ocean and Polar Engineering Conference, ISOPE 2016
Land/Område	Grækenland
By	Rhodes
Periode	26/06/2016 → 01/07/2016
Sponsor	et al., ExxonMobil, International Society of Offshore and Polar Engineers (ISOPE), Korea Research Institute of Ships and Ocean Engineering (KRISO), Shanghai Jiao Tong University, SK Innovation

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Citationsformater

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title = "Unstructured spectral element model for dispersive and nonlinear wave propagation",

abstract = "We introduce a new stabilized high-order and unstructured numerical model for modeling fully nonlinear and dispersive water waves. The model is based on a nodal spectral element method of arbitrary order in space and a σ-transformed formulation due to Cai, Langtangen, Nielsen and Tveito (1998). In the present paper we use a single layer of quadratic (in 2D) and prismatic (in 3D) elements. The model has been stabilized through a combination of over-integration of the Galerkin projections and a mild modal filter. We present numerical tests of nonlinear waves serving as a proof-of-concept validation for this new high-order model. The model is shown to exhibit exponential convergence even for very steep waves and there is a good agreement to analytic and experimental data.",

keywords = "Fully nonlinear wave propagation, High-order, Potential flow equation, Spectral element method, Unstructured mesh",

author = "Engsig-Karup, {Allan P.} and Claes Eskilsson and Daniele Bigoni",

year = "2016",

language = "English",

volume = "2016-January",

pages = "661--668",

booktitle = "Proceedings of the 26th International Ocean and Polar Engineering Conference, ISOPE 2016",

publisher = "The International Society of Offshore and Polar Engineers",

note = "26th Annual International Ocean and Polar Engineering Conference, ISOPE 2016 ; Conference date: 26-06-2016 Through 01-07-2016",

}

Engsig-Karup, AP, Eskilsson, C & Bigoni, D 2016, Unstructured spectral element model for dispersive and nonlinear wave propagation. i Proceedings of the 26th International Ocean and Polar Engineering Conference, ISOPE 2016. bind 2016-January, The International Society of Offshore and Polar Engineers, s. 661-668, 26th Annual International Ocean and Polar Engineering Conference, ISOPE 2016, Rhodes, Grækenland, 26/06/2016.

Unstructured spectral element model for dispersive and nonlinear wave propagation. / Engsig-Karup, Allan P.; Eskilsson, Claes; Bigoni, Daniele.
Proceedings of the 26th International Ocean and Polar Engineering Conference, ISOPE 2016. Bind 2016-January The International Society of Offshore and Polar Engineers, 2016. s. 661-668.

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

TY - GEN

T1 - Unstructured spectral element model for dispersive and nonlinear wave propagation

AU - Engsig-Karup, Allan P.

AU - Eskilsson, Claes

AU - Bigoni, Daniele

PY - 2016

Y1 - 2016

N2 - We introduce a new stabilized high-order and unstructured numerical model for modeling fully nonlinear and dispersive water waves. The model is based on a nodal spectral element method of arbitrary order in space and a σ-transformed formulation due to Cai, Langtangen, Nielsen and Tveito (1998). In the present paper we use a single layer of quadratic (in 2D) and prismatic (in 3D) elements. The model has been stabilized through a combination of over-integration of the Galerkin projections and a mild modal filter. We present numerical tests of nonlinear waves serving as a proof-of-concept validation for this new high-order model. The model is shown to exhibit exponential convergence even for very steep waves and there is a good agreement to analytic and experimental data.

AB - We introduce a new stabilized high-order and unstructured numerical model for modeling fully nonlinear and dispersive water waves. The model is based on a nodal spectral element method of arbitrary order in space and a σ-transformed formulation due to Cai, Langtangen, Nielsen and Tveito (1998). In the present paper we use a single layer of quadratic (in 2D) and prismatic (in 3D) elements. The model has been stabilized through a combination of over-integration of the Galerkin projections and a mild modal filter. We present numerical tests of nonlinear waves serving as a proof-of-concept validation for this new high-order model. The model is shown to exhibit exponential convergence even for very steep waves and there is a good agreement to analytic and experimental data.

KW - Fully nonlinear wave propagation

KW - High-order

KW - Potential flow equation

KW - Spectral element method

KW - Unstructured mesh

UR - http://www.scopus.com/inward/record.url?scp=84987899313&partnerID=8YFLogxK

M3 - Article in proceeding

AN - SCOPUS:84987899313

VL - 2016-January

SP - 661

EP - 668

BT - Proceedings of the 26th International Ocean and Polar Engineering Conference, ISOPE 2016

PB - The International Society of Offshore and Polar Engineers

T2 - 26th Annual International Ocean and Polar Engineering Conference, ISOPE 2016

Y2 - 26 June 2016 through 1 July 2016

ER -

Unstructured spectral element model for dispersive and nonlinear wave propagation

Abstract

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