Numerical Study of Violent Impact Flow Using a CIP-Based Model
A two-phase flow model is developed to study violent impact flow problem. The model governed by the Navier-Stokes equations with free surface boundary conditions is solved by a Constrained Interpolation Profile (CIP)-based high-order finite difference method on a fixed Cartesian grid system. The fre...
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Wiley
2013-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2013/920912 |
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author | Qiao-ling Ji Xi-zeng Zhao Sheng Dong |
author_facet | Qiao-ling Ji Xi-zeng Zhao Sheng Dong |
author_sort | Qiao-ling Ji |
collection | DOAJ |
description | A two-phase flow model is developed to study violent impact flow problem. The model governed by the Navier-Stokes equations with free surface boundary conditions is solved by a Constrained Interpolation Profile (CIP)-based high-order finite difference method on a fixed Cartesian grid system. The free surface is immersed in the computation domain and expressed by a one-fluid density function. An accurate Volume of Fluid (VOF)-type scheme, the Tangent of Hyperbola for Interface Capturing (THINC), is combined for the free surface treatment. Results of another two free surface capturing methods, the original VOF and CIP, are also presented for comparison. The validity and utility of the numerical model are demonstrated by applying it to two dam-break problems: a small-scale two-dimensional (2D) and three-dimensional (3D) full scale simulations and a large-scale 2D simulation. Main attention is paid to the water elevations and impact pressure, and the numerical results show relatively good agreement with available experimental measurements. It is shown that the present numerical model can give a satisfactory prediction for violent impact flow. |
format | Article |
id | doaj-art-afddbb7acb1e493784ee08425fd4ca57 |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
spelling | doaj-art-afddbb7acb1e493784ee08425fd4ca572025-02-03T05:48:03ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/920912920912Numerical Study of Violent Impact Flow Using a CIP-Based ModelQiao-ling Ji0Xi-zeng Zhao1Sheng Dong2College of Natural Resources and Environmental Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaOcean College, Zhejiang University, Hangzhou 310058, ChinaCollege of Engineering, Ocean University of China, Qingdao 266100, ChinaA two-phase flow model is developed to study violent impact flow problem. The model governed by the Navier-Stokes equations with free surface boundary conditions is solved by a Constrained Interpolation Profile (CIP)-based high-order finite difference method on a fixed Cartesian grid system. The free surface is immersed in the computation domain and expressed by a one-fluid density function. An accurate Volume of Fluid (VOF)-type scheme, the Tangent of Hyperbola for Interface Capturing (THINC), is combined for the free surface treatment. Results of another two free surface capturing methods, the original VOF and CIP, are also presented for comparison. The validity and utility of the numerical model are demonstrated by applying it to two dam-break problems: a small-scale two-dimensional (2D) and three-dimensional (3D) full scale simulations and a large-scale 2D simulation. Main attention is paid to the water elevations and impact pressure, and the numerical results show relatively good agreement with available experimental measurements. It is shown that the present numerical model can give a satisfactory prediction for violent impact flow.http://dx.doi.org/10.1155/2013/920912 |
spellingShingle | Qiao-ling Ji Xi-zeng Zhao Sheng Dong Numerical Study of Violent Impact Flow Using a CIP-Based Model Journal of Applied Mathematics |
title | Numerical Study of Violent Impact Flow Using a CIP-Based Model |
title_full | Numerical Study of Violent Impact Flow Using a CIP-Based Model |
title_fullStr | Numerical Study of Violent Impact Flow Using a CIP-Based Model |
title_full_unstemmed | Numerical Study of Violent Impact Flow Using a CIP-Based Model |
title_short | Numerical Study of Violent Impact Flow Using a CIP-Based Model |
title_sort | numerical study of violent impact flow using a cip based model |
url | http://dx.doi.org/10.1155/2013/920912 |
work_keys_str_mv | AT qiaolingji numericalstudyofviolentimpactflowusingacipbasedmodel AT xizengzhao numericalstudyofviolentimpactflowusingacipbasedmodel AT shengdong numericalstudyofviolentimpactflowusingacipbasedmodel |