Accuracy and stability of virtual source method for numerical simulations of nonlinear water waves

Omar Al-Tameemi; David I. Graham; Kurt Langfeld

Accuracy and stability of virtual source method for numerical simulations of nonlinear water waves

Omar Al-Tameemi, David I. Graham, Kurt Langfeld

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

2 Citations (Scopus)

Abstract

The virtual source method (VSM) developed by Langfeld et al., (2016) is based upon the integral equations derived by using Green's identity with Laplace's equation for the velocity potential. These authors presented preliminary results using the method to simulate standing waves. In this paper, we numerically model a non-linear standing wave by using the VSM to illustrate the energy and volume conservation. Analytical formulas are derived to compute the volume and potential energy while the kinetic energy is computed by numerical integration. Results are compared with both theory and boundary element method (BEM).

Original language	English
Title of host publication	Proceedings of the 28th International Ocean and Polar Engineering Conference
Place of Publication	U.S.
Publisher	International Society of Offshore and Polar Engineers
Pages	444-451
Number of pages	8
ISBN (Print)	9781880653876
Publication status	Published - 2018
Externally published	Yes
Event	International Ocean and Polar Engineering Conference - Sapporo, Japan Duration: 10 Jun 2018 → 15 Jun 2018 Conference number: 28th

Conference

Conference	International Ocean and Polar Engineering Conference
Country/Territory	Japan
City	Sapporo
Period	10/06/18 → 15/06/18

Keywords

Accuracy
Boundary integral equation
Energy conservation
Numerical wave tank (NWT)
Stability

Cite this

@inproceedings{84b3af61ad50420caf14840437a42c06,

title = "Accuracy and stability of virtual source method for numerical simulations of nonlinear water waves",

abstract = "The virtual source method (VSM) developed by Langfeld et al., (2016) is based upon the integral equations derived by using Green's identity with Laplace's equation for the velocity potential. These authors presented preliminary results using the method to simulate standing waves. In this paper, we numerically model a non-linear standing wave by using the VSM to illustrate the energy and volume conservation. Analytical formulas are derived to compute the volume and potential energy while the kinetic energy is computed by numerical integration. Results are compared with both theory and boundary element method (BEM).",

keywords = "Accuracy, Boundary integral equation, Energy conservation, Numerical wave tank (NWT), Stability",

author = "Omar Al-Tameemi and Graham, {David I.} and Kurt Langfeld",

year = "2018",

language = "English",

isbn = "9781880653876",

pages = "444--451",

booktitle = "Proceedings of the 28th International Ocean and Polar Engineering Conference",

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

note = "International Ocean and Polar Engineering Conference ; Conference date: 10-06-2018 Through 15-06-2018",

}

Al-Tameemi, O, Graham, DI & Langfeld, K 2018, Accuracy and stability of virtual source method for numerical simulations of nonlinear water waves. in Proceedings of the 28th International Ocean and Polar Engineering Conference. International Society of Offshore and Polar Engineers, U.S., pp. 444-451, International Ocean and Polar Engineering Conference, Sapporo, Japan, 10/06/18.

Accuracy and stability of virtual source method for numerical simulations of nonlinear water waves. / Al-Tameemi, Omar; Graham, David I.; Langfeld, Kurt.
Proceedings of the 28th International Ocean and Polar Engineering Conference. U.S.: International Society of Offshore and Polar Engineers, 2018. p. 444-451.

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

TY - GEN

T1 - Accuracy and stability of virtual source method for numerical simulations of nonlinear water waves

AU - Al-Tameemi, Omar

AU - Graham, David I.

AU - Langfeld, Kurt

N1 - Conference code: 28th

PY - 2018

Y1 - 2018

N2 - The virtual source method (VSM) developed by Langfeld et al., (2016) is based upon the integral equations derived by using Green's identity with Laplace's equation for the velocity potential. These authors presented preliminary results using the method to simulate standing waves. In this paper, we numerically model a non-linear standing wave by using the VSM to illustrate the energy and volume conservation. Analytical formulas are derived to compute the volume and potential energy while the kinetic energy is computed by numerical integration. Results are compared with both theory and boundary element method (BEM).

AB - The virtual source method (VSM) developed by Langfeld et al., (2016) is based upon the integral equations derived by using Green's identity with Laplace's equation for the velocity potential. These authors presented preliminary results using the method to simulate standing waves. In this paper, we numerically model a non-linear standing wave by using the VSM to illustrate the energy and volume conservation. Analytical formulas are derived to compute the volume and potential energy while the kinetic energy is computed by numerical integration. Results are compared with both theory and boundary element method (BEM).

KW - Accuracy

KW - Boundary integral equation

KW - Energy conservation

KW - Numerical wave tank (NWT)

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=85053478904&partnerID=8YFLogxK

M3 - Conference Paper

AN - SCOPUS:85053478904

SN - 9781880653876

SP - 444

EP - 451

BT - Proceedings of the 28th International Ocean and Polar Engineering Conference

PB - International Society of Offshore and Polar Engineers

CY - U.S.

T2 - International Ocean and Polar Engineering Conference

Y2 - 10 June 2018 through 15 June 2018

ER -

Accuracy and stability of virtual source method for numerical simulations of nonlinear water waves

Abstract

Conference

Keywords

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