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A combined volume of fluid and immersed boundary method for free surface simulations induced by solitary waves

A combined volume of fluid and immersed boundary method for free surface simulations induced by solitary waves
A combined volume of fluid and immersed boundary method for free surface simulations induced by solitary waves

A combined volume of fluid and immersed boundary method is developed to simulate free surface flow induced by solitary waves. The simulations of problems involving free boundaries with large deformations are known to be challenging due to the discontinuity of density and momentum flux across the interface. In order to reduce the spurious velocities and prevent unphysical tearing of the interface, an extra velocity field is designed to extend the velocity of the water into the air and to enforce a new boundary condition near the free surface. The free surface is captured using a new Volume of Fluid (VOF) method and a boundary layer is built on the air side by an immersed boundary method. A density-weight smoothing approach is used to reconstruct the velocities inside the boundary layer. The accuracy of the new solver is verified by two benchmark problems, the propagation of a solitary wave in constant depths and run-up of a solitary wave on a slope. The performances of the new solver are compared with the original VOF solver, analytical solutions and one-phase flow solver results, and better results are obtained. The simulation of a plunging wave breaking on a slope further demonstrates the capability of the new solver to capture strong air-water interactions. It is shown to improve the robustness and stability of two-phase flow simulations and higher accuracy can be obtained on a relatively coarse grid compared to the original volume of fluid method.

Density-weight smoothing method, Immersed boundary method, Solitary wave, Two-phase flow, Volume of fluid method
0029-8018
Jin, Qiu
27d56f4b-3b1f-4bd9-aab7-ebd3331912d1
Hudson, Dominic
3814e08b-1993-4e78-b5a4-2598c40af8e7
Temarel, Pandeli
b641fc50-5c8e-4540-8820-ae6779b4b0cf
Jin, Qiu
27d56f4b-3b1f-4bd9-aab7-ebd3331912d1
Hudson, Dominic
3814e08b-1993-4e78-b5a4-2598c40af8e7
Temarel, Pandeli
b641fc50-5c8e-4540-8820-ae6779b4b0cf

Jin, Qiu, Hudson, Dominic and Temarel, Pandeli (2022) A combined volume of fluid and immersed boundary method for free surface simulations induced by solitary waves. Ocean Engineering, 245, [110560]. (doi:10.1016/j.oceaneng.2022.110560).

Record type: Article

Abstract

A combined volume of fluid and immersed boundary method is developed to simulate free surface flow induced by solitary waves. The simulations of problems involving free boundaries with large deformations are known to be challenging due to the discontinuity of density and momentum flux across the interface. In order to reduce the spurious velocities and prevent unphysical tearing of the interface, an extra velocity field is designed to extend the velocity of the water into the air and to enforce a new boundary condition near the free surface. The free surface is captured using a new Volume of Fluid (VOF) method and a boundary layer is built on the air side by an immersed boundary method. A density-weight smoothing approach is used to reconstruct the velocities inside the boundary layer. The accuracy of the new solver is verified by two benchmark problems, the propagation of a solitary wave in constant depths and run-up of a solitary wave on a slope. The performances of the new solver are compared with the original VOF solver, analytical solutions and one-phase flow solver results, and better results are obtained. The simulation of a plunging wave breaking on a slope further demonstrates the capability of the new solver to capture strong air-water interactions. It is shown to improve the robustness and stability of two-phase flow simulations and higher accuracy can be obtained on a relatively coarse grid compared to the original volume of fluid method.

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Jin20211207final - Accepted Manuscript
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More information

Accepted/In Press date: 5 January 2022
e-pub ahead of print date: 13 January 2022
Published date: 1 February 2022
Additional Information: Funding Information: This research was supported by the University of Southampton , the China Scholarship Council (No 201706950085 ) and the Major International Joint Research Program of China (Grant NO. 51720105011 ).
Keywords: Density-weight smoothing method, Immersed boundary method, Solitary wave, Two-phase flow, Volume of fluid method

Identifiers

Local EPrints ID: 455420
URI: http://eprints.soton.ac.uk/id/eprint/455420
ISSN: 0029-8018
PURE UUID: c2bfadb9-33cd-469c-8e6a-28434e859787
ORCID for Dominic Hudson: ORCID iD orcid.org/0000-0002-2012-6255
ORCID for Pandeli Temarel: ORCID iD orcid.org/0000-0003-2921-1242

Catalogue record

Date deposited: 21 Mar 2022 17:49
Last modified: 18 Mar 2024 05:28

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Contributors

Author: Qiu Jin
Author: Dominic Hudson ORCID iD
Author: Pandeli Temarel ORCID iD

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