Simulation of Nonlinear Waves Interacting with a Heaving Floating Body using a p-Multigrid Spectral Element Method

Line K.  Mortensen; Wojciech Jacek Laskowski; Allan P. Engsig-Karup; Claes Eskilsson; Carlos Monteserin

Simulation of Nonlinear Waves Interacting with a Heaving Floating Body using a p-Multigrid Spectral Element Method

Line K. Mortensen, Wojciech Jacek Laskowski, Allan P. Engsig-Karup, Claes Eskilsson, Carlos Monteserin

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

Abstract

We present a Spectral Element Fully Nonlinear Potential Flow (FNPF- SEM) model developed for the simulation of wave-body interactions between nonlinear free surface waves and impermeable structures. The solver is accelerated using an iterative p-multigrid algorithm. Two cases are considered: (i) a surface piercing box forced into vertical motion creating radiated waves and (ii) a rectangular box released above its equilibrium resulting in freely decaying heave motion. The FNPF-SEM model is validated by comparing the computed hydrodynamic forces against those obtained by a Navier-Stokes solver. Although not perfect agreement is observed the results are promising, a significant speedup due to the iterative algorithm is however seen.

Original language	English
Title of host publication	Proceedings of the Thirty-first (2021) International Ocean and Polar Engineering Conference
Number of pages	8
Volume	3
Publisher	International Society of Offshore & Polar Engineers
Publication date	2021
Pages	1569-1576
ISBN (Electronic)	978-1-880653-82-1
Publication status	Published - 2021
Event	The 31st (2021) International Ocean and Polar Engineering Conference - Rhodes, Greece Duration: 20 Jun 2021 → 25 Jun 2021 Conference number: 31

Conference

Conference	The 31st (2021) International Ocean and Polar Engineering Conference
Number	31
Country/Territory	Greece
City	Rhodes
Period	20/06/2021 → 25/06/2021

Series	Proceedings of the International Offshore and Polar Engineering Conference
ISSN	1098-6189

Bibliographical note

Keywords

Spectral element method
P-multigrid
Fully nonlinear potential flow
Wave-body interactions
Acceleration potential method

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Mortensen, L. K., Laskowski, W. J., Engsig-Karup, A. P., Eskilsson, C., & Monteserin, C. (2021). Simulation of Nonlinear Waves Interacting with a Heaving Floating Body using a p-Multigrid Spectral Element Method. In Proceedings of the Thirty-first (2021) International Ocean and Polar Engineering Conference (Vol. 3, pp. 1569-1576). International Society of Offshore & Polar Engineers. http://publications.isope.org/proceedings/ISOPE/ISOPE%202021/data/pdfs_Vol3/3137-21TPC-0320.pdf

Mortensen, Line K. ; Laskowski, Wojciech Jacek ; Engsig-Karup, Allan P. et al. / Simulation of Nonlinear Waves Interacting with a Heaving Floating Body using a p-Multigrid Spectral Element Method. Proceedings of the Thirty-first (2021) International Ocean and Polar Engineering Conference . Vol. 3 International Society of Offshore & Polar Engineers, 2021. pp. 1569-1576 (Proceedings of the International Offshore and Polar Engineering Conference).

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title = "Simulation of Nonlinear Waves Interacting with a Heaving Floating Body using a p-Multigrid Spectral Element Method",

abstract = "We present a Spectral Element Fully Nonlinear Potential Flow (FNPF- SEM) model developed for the simulation of wave-body interactions between nonlinear free surface waves and impermeable structures. The solver is accelerated using an iterative p-multigrid algorithm. Two cases are considered: (i) a surface piercing box forced into vertical motion creating radiated waves and (ii) a rectangular box released above its equilibrium resulting in freely decaying heave motion. The FNPF-SEM model is validated by comparing the computed hydrodynamic forces against those obtained by a Navier-Stokes solver. Although not perfect agreement is observed the results are promising, a significant speedup due to the iterative algorithm is however seen.",

keywords = "Spectral element method, P-multigrid, Fully nonlinear potential flow, Wave-body interactions, Acceleration potential method, Spectral element method, P-multigrid, Fully nonlinear potential flow, Wave-body interactions, Acceleration potential method",

author = "Mortensen, {Line K.} and Laskowski, {Wojciech Jacek} and Engsig-Karup, {Allan P.} and Claes Eskilsson and Carlos Monteserin",

note = "Copyright {\textcopyright} 2021 by the International Society of Offshore and Polar Engineers, Cupertino, California, USA. All rights reserved.; The 31st (2021) International Ocean and Polar Engineering Conference, ISOPE-2021 ; Conference date: 20-06-2021 Through 25-06-2021",

year = "2021",

language = "English",

volume = "3",

series = "Proceedings of the International Offshore and Polar Engineering Conference",

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Mortensen, LK, Laskowski, WJ, Engsig-Karup, AP, Eskilsson, C & Monteserin, C 2021, Simulation of Nonlinear Waves Interacting with a Heaving Floating Body using a p-Multigrid Spectral Element Method. in Proceedings of the Thirty-first (2021) International Ocean and Polar Engineering Conference . vol. 3, International Society of Offshore & Polar Engineers, Proceedings of the International Offshore and Polar Engineering Conference, pp. 1569-1576, The 31st (2021) International Ocean and Polar Engineering Conference, Rhodes, Greece, 20/06/2021. <http://publications.isope.org/proceedings/ISOPE/ISOPE%202021/data/pdfs_Vol3/3137-21TPC-0320.pdf>

Simulation of Nonlinear Waves Interacting with a Heaving Floating Body using a p-Multigrid Spectral Element Method. / Mortensen, Line K. ; Laskowski, Wojciech Jacek; Engsig-Karup, Allan P. et al.
Proceedings of the Thirty-first (2021) International Ocean and Polar Engineering Conference . Vol. 3 International Society of Offshore & Polar Engineers, 2021. p. 1569-1576 (Proceedings of the International Offshore and Polar Engineering Conference).

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

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T1 - Simulation of Nonlinear Waves Interacting with a Heaving Floating Body using a p-Multigrid Spectral Element Method

AU - Mortensen, Line K.

AU - Laskowski, Wojciech Jacek

AU - Engsig-Karup, Allan P.

AU - Eskilsson, Claes

AU - Monteserin, Carlos

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N2 - We present a Spectral Element Fully Nonlinear Potential Flow (FNPF- SEM) model developed for the simulation of wave-body interactions between nonlinear free surface waves and impermeable structures. The solver is accelerated using an iterative p-multigrid algorithm. Two cases are considered: (i) a surface piercing box forced into vertical motion creating radiated waves and (ii) a rectangular box released above its equilibrium resulting in freely decaying heave motion. The FNPF-SEM model is validated by comparing the computed hydrodynamic forces against those obtained by a Navier-Stokes solver. Although not perfect agreement is observed the results are promising, a significant speedup due to the iterative algorithm is however seen.

AB - We present a Spectral Element Fully Nonlinear Potential Flow (FNPF- SEM) model developed for the simulation of wave-body interactions between nonlinear free surface waves and impermeable structures. The solver is accelerated using an iterative p-multigrid algorithm. Two cases are considered: (i) a surface piercing box forced into vertical motion creating radiated waves and (ii) a rectangular box released above its equilibrium resulting in freely decaying heave motion. The FNPF-SEM model is validated by comparing the computed hydrodynamic forces against those obtained by a Navier-Stokes solver. Although not perfect agreement is observed the results are promising, a significant speedup due to the iterative algorithm is however seen.

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KW - Fully nonlinear potential flow

KW - Wave-body interactions

KW - Acceleration potential method

KW - Spectral element method

KW - P-multigrid

KW - Fully nonlinear potential flow

KW - Wave-body interactions

KW - Acceleration potential method

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M3 - Article in proceeding

VL - 3

T3 - Proceedings of the International Offshore and Polar Engineering Conference

SP - 1569

EP - 1576

BT - Proceedings of the Thirty-first (2021) International Ocean and Polar Engineering Conference

PB - International Society of Offshore & Polar Engineers

T2 - The 31st (2021) International Ocean and Polar Engineering Conference

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ER -

Mortensen LK, Laskowski WJ, Engsig-Karup AP, Eskilsson C, Monteserin C. Simulation of Nonlinear Waves Interacting with a Heaving Floating Body using a p-Multigrid Spectral Element Method. In Proceedings of the Thirty-first (2021) International Ocean and Polar Engineering Conference . Vol. 3. International Society of Offshore & Polar Engineers. 2021. p. 1569-1576. (Proceedings of the International Offshore and Polar Engineering Conference).

Simulation of Nonlinear Waves Interacting with a Heaving Floating Body using a p-Multigrid Spectral Element Method

Abstract

Conference

Bibliographical note

Keywords

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