Numerical Simulations of Linearly Stratified Flow Past Submerged Bodies

In this study, a methodology was presented to predict density stratified flows in the near-field of submerged bodies. The energy equation in temperature form was solved coupled with momentum and mass conservation equations. Linear stratification was achieved by the definition of the density as a fun...

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Main Authors: Ma Weizhuang, Li Yunbo, Ding Yong, Hu Kaiye, Lan Linxin
Format: Article
Language:English
Published: Sciendo 2018-12-01
Series:Polish Maritime Research
Subjects:
Online Access:https://doi.org/10.2478/pomr-2018-0114
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author Ma Weizhuang
Li Yunbo
Ding Yong
Hu Kaiye
Lan Linxin
author_facet Ma Weizhuang
Li Yunbo
Ding Yong
Hu Kaiye
Lan Linxin
author_sort Ma Weizhuang
collection DOAJ
description In this study, a methodology was presented to predict density stratified flows in the near-field of submerged bodies. The energy equation in temperature form was solved coupled with momentum and mass conservation equations. Linear stratification was achieved by the definition of the density as a function of temperature. At first, verifications were performed for the stratified flows passing a submerged horizontal circular cylinder, showing excellent agreement with available experimental data. The ability of the method to cope with variable density was demonstrated. Different turbulence models were used for different Re numbers and flow states. Based on the numerical methods proposed in this paper, the stratified flow was studied for the real scale benchmark DAPRA Suboff submarine. The approach used the VOF method for tracing the free surface. Turbulence was implemented with a k − ω based Detached Eddy Simulation (DES) approach. The effects of submarine speed, depth and density gradient on the free surface wave pattern were quantitatively analyzed. It was shown that, with the increasing of the speed of the submarine, the wavelength and wave height of the free surface wave were gradually increasing. The wave height of the free surface wave was gradually reduced as the submarine’s depth increased. Relative to the speed and submarine depth, the changes of the gradient density gradient have negligible effects on the free surface wave field.
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spelling doaj.art-7226ca39e0c5417b954d90f31814fb752022-12-21T22:38:01ZengSciendoPolish Maritime Research2083-74292018-12-0125s3687710.2478/pomr-2018-0114pomr-2018-0114Numerical Simulations of Linearly Stratified Flow Past Submerged BodiesMa Weizhuang0Li Yunbo1Ding Yong2Hu Kaiye3Lan Linxin4College of Shipbuilding Engineering, Harbin Engineering University,Harbin, ChinaCollege of Ocean Science and Engineering, Shanghai Maritime University,Shanghai, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University,Harbin, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University,Harbin, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University,Harbin, ChinaIn this study, a methodology was presented to predict density stratified flows in the near-field of submerged bodies. The energy equation in temperature form was solved coupled with momentum and mass conservation equations. Linear stratification was achieved by the definition of the density as a function of temperature. At first, verifications were performed for the stratified flows passing a submerged horizontal circular cylinder, showing excellent agreement with available experimental data. The ability of the method to cope with variable density was demonstrated. Different turbulence models were used for different Re numbers and flow states. Based on the numerical methods proposed in this paper, the stratified flow was studied for the real scale benchmark DAPRA Suboff submarine. The approach used the VOF method for tracing the free surface. Turbulence was implemented with a k − ω based Detached Eddy Simulation (DES) approach. The effects of submarine speed, depth and density gradient on the free surface wave pattern were quantitatively analyzed. It was shown that, with the increasing of the speed of the submarine, the wavelength and wave height of the free surface wave were gradually increasing. The wave height of the free surface wave was gradually reduced as the submarine’s depth increased. Relative to the speed and submarine depth, the changes of the gradient density gradient have negligible effects on the free surface wave field.https://doi.org/10.2478/pomr-2018-0114stratified flowcircular cylinderinternal wavesuboffequation of state
spellingShingle Ma Weizhuang
Li Yunbo
Ding Yong
Hu Kaiye
Lan Linxin
Numerical Simulations of Linearly Stratified Flow Past Submerged Bodies
Polish Maritime Research
stratified flow
circular cylinder
internal wave
suboff
equation of state
title Numerical Simulations of Linearly Stratified Flow Past Submerged Bodies
title_full Numerical Simulations of Linearly Stratified Flow Past Submerged Bodies
title_fullStr Numerical Simulations of Linearly Stratified Flow Past Submerged Bodies
title_full_unstemmed Numerical Simulations of Linearly Stratified Flow Past Submerged Bodies
title_short Numerical Simulations of Linearly Stratified Flow Past Submerged Bodies
title_sort numerical simulations of linearly stratified flow past submerged bodies
topic stratified flow
circular cylinder
internal wave
suboff
equation of state
url https://doi.org/10.2478/pomr-2018-0114
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AT dingyong numericalsimulationsoflinearlystratifiedflowpastsubmergedbodies
AT hukaiye numericalsimulationsoflinearlystratifiedflowpastsubmergedbodies
AT lanlinxin numericalsimulationsoflinearlystratifiedflowpastsubmergedbodies