Application of Non-Reflective Boundary Conditions in Three-Dimensional Numerical Simulations of Free-Surface Flow Problems

This paper considers the issue of using non-reflective boundaries for surface wave simulations within the framework of three-dimensional Navier–Stokes equations. We distinguish a wave damping approach among the known implementations of non-reflective boundary conditions in surface wave simulations....

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Published in:Geosciences
Main Authors: Andrey Kozelkov, Andrey Kurkin, Dmitry Utkin, Elena Tyatyushkina, Vadim Kurulin, Dmitry Strelets
Format: Article in Journal/Newspaper
Language:English
Published: MDPI AG 2022
Subjects:
Online Access:https://doi.org/10.3390/geosciences12110427
https://doaj.org/article/e4c7b3b173394645b3b6e418e4a3b7ee
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spelling ftdoajarticles:oai:doaj.org/article:e4c7b3b173394645b3b6e418e4a3b7ee 2023-05-15T18:09:10+02:00 Application of Non-Reflective Boundary Conditions in Three-Dimensional Numerical Simulations of Free-Surface Flow Problems Andrey Kozelkov Andrey Kurkin Dmitry Utkin Elena Tyatyushkina Vadim Kurulin Dmitry Strelets 2022-11-01T00:00:00Z https://doi.org/10.3390/geosciences12110427 https://doaj.org/article/e4c7b3b173394645b3b6e418e4a3b7ee EN eng MDPI AG https://www.mdpi.com/2076-3263/12/11/427 https://doaj.org/toc/2076-3263 doi:10.3390/geosciences12110427 2076-3263 https://doaj.org/article/e4c7b3b173394645b3b6e418e4a3b7ee Geosciences, Vol 12, Iss 427, p 427 (2022) tsunami numerical simulation Navier–Stokes equations VOF method wave damping LOGOS software package Geology QE1-996.5 article 2022 ftdoajarticles https://doi.org/10.3390/geosciences12110427 2022-12-30T20:08:26Z This paper considers the issue of using non-reflective boundaries for surface wave simulations within the framework of three-dimensional Navier–Stokes equations. We distinguish a wave damping approach among the known implementations of non-reflective boundary conditions in surface wave simulations. The approach employs a sponge boundary layer to dampen incident waves. In this paper, we describe implementations of this approach on unstructured meshes. We also present the calibration of free parameters, the values of which control wave damping efficiency and the amplitude of reflected waves. Comparison of the results obtained at different types of distribution for the free parameter was conducted. The implemented wave damping approach was tested by simulating a solitary wave propagating in a water tank. We demonstrate the use of damping non-reflective boundary conditions for the case of a wave traveling across the surface of a real body of water near Sakhalin Island while considering its bathymetry. Article in Journal/Newspaper Sakhalin Directory of Open Access Journals: DOAJ Articles Geosciences 12 11 427
institution Open Polar
collection Directory of Open Access Journals: DOAJ Articles
op_collection_id ftdoajarticles
language English
topic tsunami
numerical simulation
Navier–Stokes equations
VOF method
wave damping
LOGOS software package
Geology
QE1-996.5
spellingShingle tsunami
numerical simulation
Navier–Stokes equations
VOF method
wave damping
LOGOS software package
Geology
QE1-996.5
Andrey Kozelkov
Andrey Kurkin
Dmitry Utkin
Elena Tyatyushkina
Vadim Kurulin
Dmitry Strelets
Application of Non-Reflective Boundary Conditions in Three-Dimensional Numerical Simulations of Free-Surface Flow Problems
topic_facet tsunami
numerical simulation
Navier–Stokes equations
VOF method
wave damping
LOGOS software package
Geology
QE1-996.5
description This paper considers the issue of using non-reflective boundaries for surface wave simulations within the framework of three-dimensional Navier–Stokes equations. We distinguish a wave damping approach among the known implementations of non-reflective boundary conditions in surface wave simulations. The approach employs a sponge boundary layer to dampen incident waves. In this paper, we describe implementations of this approach on unstructured meshes. We also present the calibration of free parameters, the values of which control wave damping efficiency and the amplitude of reflected waves. Comparison of the results obtained at different types of distribution for the free parameter was conducted. The implemented wave damping approach was tested by simulating a solitary wave propagating in a water tank. We demonstrate the use of damping non-reflective boundary conditions for the case of a wave traveling across the surface of a real body of water near Sakhalin Island while considering its bathymetry.
format Article in Journal/Newspaper
author Andrey Kozelkov
Andrey Kurkin
Dmitry Utkin
Elena Tyatyushkina
Vadim Kurulin
Dmitry Strelets
author_facet Andrey Kozelkov
Andrey Kurkin
Dmitry Utkin
Elena Tyatyushkina
Vadim Kurulin
Dmitry Strelets
author_sort Andrey Kozelkov
title Application of Non-Reflective Boundary Conditions in Three-Dimensional Numerical Simulations of Free-Surface Flow Problems
title_short Application of Non-Reflective Boundary Conditions in Three-Dimensional Numerical Simulations of Free-Surface Flow Problems
title_full Application of Non-Reflective Boundary Conditions in Three-Dimensional Numerical Simulations of Free-Surface Flow Problems
title_fullStr Application of Non-Reflective Boundary Conditions in Three-Dimensional Numerical Simulations of Free-Surface Flow Problems
title_full_unstemmed Application of Non-Reflective Boundary Conditions in Three-Dimensional Numerical Simulations of Free-Surface Flow Problems
title_sort application of non-reflective boundary conditions in three-dimensional numerical simulations of free-surface flow problems
publisher MDPI AG
publishDate 2022
url https://doi.org/10.3390/geosciences12110427
https://doaj.org/article/e4c7b3b173394645b3b6e418e4a3b7ee
genre Sakhalin
genre_facet Sakhalin
op_source Geosciences, Vol 12, Iss 427, p 427 (2022)
op_relation https://www.mdpi.com/2076-3263/12/11/427
https://doaj.org/toc/2076-3263
doi:10.3390/geosciences12110427
2076-3263
https://doaj.org/article/e4c7b3b173394645b3b6e418e4a3b7ee
op_doi https://doi.org/10.3390/geosciences12110427
container_title Geosciences
container_volume 12
container_issue 11
container_start_page 427
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