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

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

5 Citations (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.

Original language	English
Title of host publication	Proceedings of the 26th International Ocean and Polar Engineering Conference, ISOPE 2016
Number of pages	8
Volume	2016-January
Publisher	The International Society of Offshore and Polar Engineers
Publication date	2016
Pages	661-668
ISBN (Electronic)	9781880653883
Publication status	Published - 2016
Externally published	Yes
Event	26th Annual International Ocean and Polar Engineering Conference, ISOPE 2016 - Rhodes, Greece Duration: 26 Jun 2016 → 1 Jul 2016

Conference

Conference	26th Annual International Ocean and Polar Engineering Conference, ISOPE 2016
Country/Territory	Greece
City	Rhodes
Period	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

Keywords

Fully nonlinear wave propagation
High-order
Potential flow equation
Spectral element method
Unstructured mesh

AUB Link

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Cite this

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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. in Proceedings of the 26th International Ocean and Polar Engineering Conference, ISOPE 2016. vol. 2016-January, The International Society of Offshore and Polar Engineers, pp. 661-668, 26th Annual International Ocean and Polar Engineering Conference, ISOPE 2016, Rhodes, Greece, 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. Vol. 2016-January The International Society of Offshore and Polar Engineers, 2016. p. 661-668.

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › 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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Keywords

AUB Link

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