Systematic Validation Study of an Unsteady Cavitating Flow over a Hydrofoil Using Conditional Averaging: LES and PIV

We present results of Large-eddy simulations (LES) modeling of steady sheet and unsteady cloud cavitation on a two-dimensional hydrofoil which are validated against Particle image velocimetry (PIV) data. The study is performed for the angle of attack of 9° and high Reynolds numbers <inline-formul...

Full description

Bibliographic Details
Main Authors: Elizaveta Ivashchenko, Mikhail Hrebtov, Mikhail Timoshevskiy, Konstantin Pervunin, Rustam Mullyadzhanov
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/9/11/1193
_version_ 1827676373432401920
author Elizaveta Ivashchenko
Mikhail Hrebtov
Mikhail Timoshevskiy
Konstantin Pervunin
Rustam Mullyadzhanov
author_facet Elizaveta Ivashchenko
Mikhail Hrebtov
Mikhail Timoshevskiy
Konstantin Pervunin
Rustam Mullyadzhanov
author_sort Elizaveta Ivashchenko
collection DOAJ
description We present results of Large-eddy simulations (LES) modeling of steady sheet and unsteady cloud cavitation on a two-dimensional hydrofoil which are validated against Particle image velocimetry (PIV) data. The study is performed for the angle of attack of 9° and high Reynolds numbers <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>R</mi><msub><mi>e</mi><mi>C</mi></msub></mrow></semantics></math></inline-formula> of the order of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mn>6</mn></msup></semantics></math></inline-formula> providing a strong adverse pressure gradient along the surface. We employ the Schnerr–Sauer and Kunz cavitation models together with the adaptive mesh refinement in critical flow regions where intensive phase transitions occur. Comparison of the LES and visualization results confirms that the flow dynamics is adequately reproduced in the calculations. To correctly match averaged velocity distributions, we propose a new methodology based on conditional averaging of instantaneous velocity fields measured by PIV which only provides information on the liquid phase. This approach leads to an excellent overall agreement between the conditionally averaged fields of the mean velocity and turbulence intensity obtained experimentally and numerically. The benefits of second-order discretization schemes are highlighted as opposed to the lower-order TVD scheme.
first_indexed 2024-03-10T05:23:44Z
format Article
id doaj.art-7b12eaabca234338aa81c929b72c6386
institution Directory Open Access Journal
issn 2077-1312
language English
last_indexed 2024-03-10T05:23:44Z
publishDate 2021-10-01
publisher MDPI AG
record_format Article
series Journal of Marine Science and Engineering
spelling doaj.art-7b12eaabca234338aa81c929b72c63862023-11-22T23:53:09ZengMDPI AGJournal of Marine Science and Engineering2077-13122021-10-01911119310.3390/jmse9111193Systematic Validation Study of an Unsteady Cavitating Flow over a Hydrofoil Using Conditional Averaging: LES and PIVElizaveta Ivashchenko0Mikhail Hrebtov1Mikhail Timoshevskiy2Konstantin Pervunin3Rustam Mullyadzhanov4Institute of Thermophysics SB RAS, Lavrentyev Ave. 1, 630090 Novosibirsk, RussiaInstitute of Thermophysics SB RAS, Lavrentyev Ave. 1, 630090 Novosibirsk, RussiaInstitute of Thermophysics SB RAS, Lavrentyev Ave. 1, 630090 Novosibirsk, RussiaInstitute of Thermophysics SB RAS, Lavrentyev Ave. 1, 630090 Novosibirsk, RussiaInstitute of Thermophysics SB RAS, Lavrentyev Ave. 1, 630090 Novosibirsk, RussiaWe present results of Large-eddy simulations (LES) modeling of steady sheet and unsteady cloud cavitation on a two-dimensional hydrofoil which are validated against Particle image velocimetry (PIV) data. The study is performed for the angle of attack of 9° and high Reynolds numbers <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>R</mi><msub><mi>e</mi><mi>C</mi></msub></mrow></semantics></math></inline-formula> of the order of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mn>6</mn></msup></semantics></math></inline-formula> providing a strong adverse pressure gradient along the surface. We employ the Schnerr–Sauer and Kunz cavitation models together with the adaptive mesh refinement in critical flow regions where intensive phase transitions occur. Comparison of the LES and visualization results confirms that the flow dynamics is adequately reproduced in the calculations. To correctly match averaged velocity distributions, we propose a new methodology based on conditional averaging of instantaneous velocity fields measured by PIV which only provides information on the liquid phase. This approach leads to an excellent overall agreement between the conditionally averaged fields of the mean velocity and turbulence intensity obtained experimentally and numerically. The benefits of second-order discretization schemes are highlighted as opposed to the lower-order TVD scheme.https://www.mdpi.com/2077-1312/9/11/1193cavitationhydrofoillarge-eddy simulationsparticle image velocimetry
spellingShingle Elizaveta Ivashchenko
Mikhail Hrebtov
Mikhail Timoshevskiy
Konstantin Pervunin
Rustam Mullyadzhanov
Systematic Validation Study of an Unsteady Cavitating Flow over a Hydrofoil Using Conditional Averaging: LES and PIV
Journal of Marine Science and Engineering
cavitation
hydrofoil
large-eddy simulations
particle image velocimetry
title Systematic Validation Study of an Unsteady Cavitating Flow over a Hydrofoil Using Conditional Averaging: LES and PIV
title_full Systematic Validation Study of an Unsteady Cavitating Flow over a Hydrofoil Using Conditional Averaging: LES and PIV
title_fullStr Systematic Validation Study of an Unsteady Cavitating Flow over a Hydrofoil Using Conditional Averaging: LES and PIV
title_full_unstemmed Systematic Validation Study of an Unsteady Cavitating Flow over a Hydrofoil Using Conditional Averaging: LES and PIV
title_short Systematic Validation Study of an Unsteady Cavitating Flow over a Hydrofoil Using Conditional Averaging: LES and PIV
title_sort systematic validation study of an unsteady cavitating flow over a hydrofoil using conditional averaging les and piv
topic cavitation
hydrofoil
large-eddy simulations
particle image velocimetry
url https://www.mdpi.com/2077-1312/9/11/1193
work_keys_str_mv AT elizavetaivashchenko systematicvalidationstudyofanunsteadycavitatingflowoverahydrofoilusingconditionalaveraginglesandpiv
AT mikhailhrebtov systematicvalidationstudyofanunsteadycavitatingflowoverahydrofoilusingconditionalaveraginglesandpiv
AT mikhailtimoshevskiy systematicvalidationstudyofanunsteadycavitatingflowoverahydrofoilusingconditionalaveraginglesandpiv
AT konstantinpervunin systematicvalidationstudyofanunsteadycavitatingflowoverahydrofoilusingconditionalaveraginglesandpiv
AT rustammullyadzhanov systematicvalidationstudyofanunsteadycavitatingflowoverahydrofoilusingconditionalaveraginglesandpiv