Analysis of Mechanical Energy Transport on Free-Falling Wedge during Water-Entry Phase

For better discussing and understanding the physical phenomena and body-fluid interaction of water-entry problem, here mechanical-energy transport (wedge, fluid, and each other) of water-entry model for free falling wedge is studied by numerical method based on free surface capturing method and Cart...

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Main Authors: Wen-Hua Wang, Yi Huang, Yan-Ying Wang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/738082
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author Wen-Hua Wang
Yi Huang
Yan-Ying Wang
author_facet Wen-Hua Wang
Yi Huang
Yan-Ying Wang
author_sort Wen-Hua Wang
collection DOAJ
description For better discussing and understanding the physical phenomena and body-fluid interaction of water-entry problem, here mechanical-energy transport (wedge, fluid, and each other) of water-entry model for free falling wedge is studied by numerical method based on free surface capturing method and Cartesian cut cell mesh. In this method, incompressible Euler equations for a variable density fluid are numerically calculated by the finite volume method. Then artificial compressibility method, dual-time stepping technique, and Roe's approximate Riemann solver are applied in the numerical scheme. Furthermore, the projection method of momentum equations and exact Riemann solution are used to calculate the fluid pressure on solid boundary. On this basis, during water-entry phase of the free-falling wedge, macroscopic energy conversion of overall body-fluid system and microscopic energy transformation in fluid field are analyzed and discussed. Finally, based on test cases, many useful conclusions about mechanical energy transport for water entry problem are made and presented.
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series Journal of Applied Mathematics
spelling doaj-art-07891a64f4894b01bd8400ce06294ddf2025-08-20T03:17:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/738082738082Analysis of Mechanical Energy Transport on Free-Falling Wedge during Water-Entry PhaseWen-Hua Wang0Yi Huang1Yan-Ying Wang2State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, ChinaDeepwater Engineering Research Center, Dalian University of Technology, Dalian 116024, ChinaSchool of Naval Architecture, Dalian University of Technology, Dalian 116024, ChinaFor better discussing and understanding the physical phenomena and body-fluid interaction of water-entry problem, here mechanical-energy transport (wedge, fluid, and each other) of water-entry model for free falling wedge is studied by numerical method based on free surface capturing method and Cartesian cut cell mesh. In this method, incompressible Euler equations for a variable density fluid are numerically calculated by the finite volume method. Then artificial compressibility method, dual-time stepping technique, and Roe's approximate Riemann solver are applied in the numerical scheme. Furthermore, the projection method of momentum equations and exact Riemann solution are used to calculate the fluid pressure on solid boundary. On this basis, during water-entry phase of the free-falling wedge, macroscopic energy conversion of overall body-fluid system and microscopic energy transformation in fluid field are analyzed and discussed. Finally, based on test cases, many useful conclusions about mechanical energy transport for water entry problem are made and presented.http://dx.doi.org/10.1155/2012/738082
spellingShingle Wen-Hua Wang
Yi Huang
Yan-Ying Wang
Analysis of Mechanical Energy Transport on Free-Falling Wedge during Water-Entry Phase
Journal of Applied Mathematics
title Analysis of Mechanical Energy Transport on Free-Falling Wedge during Water-Entry Phase
title_full Analysis of Mechanical Energy Transport on Free-Falling Wedge during Water-Entry Phase
title_fullStr Analysis of Mechanical Energy Transport on Free-Falling Wedge during Water-Entry Phase
title_full_unstemmed Analysis of Mechanical Energy Transport on Free-Falling Wedge during Water-Entry Phase
title_short Analysis of Mechanical Energy Transport on Free-Falling Wedge during Water-Entry Phase
title_sort analysis of mechanical energy transport on free falling wedge during water entry phase
url http://dx.doi.org/10.1155/2012/738082
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