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...

Full description

Saved in:
Bibliographic Details
Main Authors: Qiao-ling Ji, Xi-zeng Zhao, Sheng Dong
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/920912
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832555487344721920
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