Numerical stability investigations of the method of fundamental solutions applied to wave-current interactions using generating-absorbing boundary conditions

Mohammed Loukili; Denys Dutykh; Kamila Kotrasova; Dezhi Ning

doi:10.3390/sym13071153

Numerical stability investigations of the method of fundamental solutions applied to wave-current interactions using generating-absorbing boundary conditions

Mohammed Loukili, Denys Dutykh, Kamila Kotrasova, Dezhi Ning

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper, the goal is to revolve around discussing the stability of the Method of Fundamental Solutions (MFS) for the use case of wave-current interactions. Further, the reliability of Generating-Absorbing Boundary Conditions (GABCs) applied to the wave-current interactions is investigated using the Method of Fundamental Solutions (MFS), in a Numerical Wave Tank (NWT) within the potential theory where the main regular manifestations are the periodicity, and symmetry of traveling waves. Besides, the investigations cover different aspects of currents (coplanar current, without current, and opposing current), and also different water depths. Furthermore, the accuracy and stability of the numerical method (MFS) used in this work is evaluated for different locations and numbers of source points.

Original language	British English
Article number	1153
Journal	Symmetry
Volume	13
Issue number	7
DOIs	https://doi.org/10.3390/sym13071153
State	Published - Jul 2021

Keywords

GABCs
MFS method
Numerical wave tank
Wave-current interactions

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10.3390/sym13071153

Cite this

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title = "Numerical stability investigations of the method of fundamental solutions applied to wave-current interactions using generating-absorbing boundary conditions",

abstract = "In this paper, the goal is to revolve around discussing the stability of the Method of Fundamental Solutions (MFS) for the use case of wave-current interactions. Further, the reliability of Generating-Absorbing Boundary Conditions (GABCs) applied to the wave-current interactions is investigated using the Method of Fundamental Solutions (MFS), in a Numerical Wave Tank (NWT) within the potential theory where the main regular manifestations are the periodicity, and symmetry of traveling waves. Besides, the investigations cover different aspects of currents (coplanar current, without current, and opposing current), and also different water depths. Furthermore, the accuracy and stability of the numerical method (MFS) used in this work is evaluated for different locations and numbers of source points.",

keywords = "GABCs, MFS method, Numerical wave tank, Wave-current interactions",

author = "Mohammed Loukili and Denys Dutykh and Kamila Kotrasova and Dezhi Ning",

note = "Funding Information: Funding: The work of DD has been supported by the French National Research Agency, through the Investments for Future Program (ref. ANR-18-EURE-0016—Solar Academy). Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

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volume = "13",

journal = "Symmetry",

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AU - Loukili, Mohammed

AU - Dutykh, Denys

AU - Kotrasova, Kamila

AU - Ning, Dezhi

N1 - Funding Information: Funding: The work of DD has been supported by the French National Research Agency, through the Investments for Future Program (ref. ANR-18-EURE-0016—Solar Academy). Publisher Copyright: © 2021 by the authors. Licensee MDPI, Basel, Switzerland.

PY - 2021/7

Y1 - 2021/7

N2 - In this paper, the goal is to revolve around discussing the stability of the Method of Fundamental Solutions (MFS) for the use case of wave-current interactions. Further, the reliability of Generating-Absorbing Boundary Conditions (GABCs) applied to the wave-current interactions is investigated using the Method of Fundamental Solutions (MFS), in a Numerical Wave Tank (NWT) within the potential theory where the main regular manifestations are the periodicity, and symmetry of traveling waves. Besides, the investigations cover different aspects of currents (coplanar current, without current, and opposing current), and also different water depths. Furthermore, the accuracy and stability of the numerical method (MFS) used in this work is evaluated for different locations and numbers of source points.

AB - In this paper, the goal is to revolve around discussing the stability of the Method of Fundamental Solutions (MFS) for the use case of wave-current interactions. Further, the reliability of Generating-Absorbing Boundary Conditions (GABCs) applied to the wave-current interactions is investigated using the Method of Fundamental Solutions (MFS), in a Numerical Wave Tank (NWT) within the potential theory where the main regular manifestations are the periodicity, and symmetry of traveling waves. Besides, the investigations cover different aspects of currents (coplanar current, without current, and opposing current), and also different water depths. Furthermore, the accuracy and stability of the numerical method (MFS) used in this work is evaluated for different locations and numbers of source points.

KW - GABCs

KW - MFS method

KW - Numerical wave tank

KW - Wave-current interactions

UR - http://www.scopus.com/inward/record.url?scp=85109564675&partnerID=8YFLogxK

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DO - 10.3390/sym13071153

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VL - 13

JO - Symmetry

JF - Symmetry

IS - 7

M1 - 1153

ER -

Numerical stability investigations of the method of fundamental solutions applied to wave-current interactions using generating-absorbing boundary conditions

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Keywords

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