Effect of Geometry on Direct and Adjoint Linear Global Modes of Low Reynolds Number Laminar Flow over Body

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Effect of Geometry on Direct and Adjoint Linear Global Modes of Low Reynolds Number Laminar Flow over Body. / Ryzhenkov, V. O.; Sozinov, D. A.; Mullyadzhanov, R. I.

In: Journal of Engineering Thermophysics, Vol. 29, No. 4, 10.2020, p. 576-581.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{46c99d64e0ba48858d7ebe5570cedfe9,

title = "Effect of Geometry on Direct and Adjoint Linear Global Modes of Low Reynolds Number Laminar Flow over Body",

abstract = "We study a two-dimensional flow over a cylinder and three ellipseswith the aspect ratio a/b= 2.04 ,3.65 ,and 5 at a Reynolds number Re= 100 based on the inflow velocity and hydraulic diameter using a directnumerical simulation (DNS) and linear stability analysis. The DNS showsthat increase in a/bleads to stabilization of the flow due to decrease in the recirculationzone. The linear stability analysis based on the time-averaged velocityfield shows that the modes of interest describe a Karman vortex street.The oscillation frequency reconstructed from the linear stabilityanalysis is in excellent agreement with the DNS. Solving the linearizedadjoint equations made it possible to identify the flow area wheredirect and adjoint modes overlap. These areas of the fieldSw,usually called “wavemaker,” change their shape with increase ina/b.Non-zero values of Swtend to approach the bottom part of the “tail” of the ellipse due to theasymmetry of the recirculation region, attached to the top side of theellipse.",

author = "Ryzhenkov, {V. O.} and Sozinov, {D. A.} and Mullyadzhanov, {R. I.}",

note = "Funding Information: The work was supported by RFBR, project nos. 18-38-20167 and 19-48-543036 (VR and RM for numerical simulations), and by RF Ministry of Education and Science, grant no. 075-15-2019-1923 (DS for global stability analysis). The development of numerical tools is performed under the state contract with IT SB RAS. The computational resources are provided by the Siberian Supercomputer Center SB RAS, Supercomputer Center of the Novosibirsk State University, and Joint Supercomputer Center RAS. Publisher Copyright: {\textcopyright} 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",

year = "2020",

month = oct,

doi = "10.1134/S1810232820040050",

language = "English",

volume = "29",

pages = "576--581",

journal = "Journal of Engineering Thermophysics",

issn = "1810-2328",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "4",

}

RIS

TY - JOUR

T1 - Effect of Geometry on Direct and Adjoint Linear Global Modes of Low Reynolds Number Laminar Flow over Body

AU - Ryzhenkov, V. O.

AU - Sozinov, D. A.

AU - Mullyadzhanov, R. I.

N1 - Funding Information: The work was supported by RFBR, project nos. 18-38-20167 and 19-48-543036 (VR and RM for numerical simulations), and by RF Ministry of Education and Science, grant no. 075-15-2019-1923 (DS for global stability analysis). The development of numerical tools is performed under the state contract with IT SB RAS. The computational resources are provided by the Siberian Supercomputer Center SB RAS, Supercomputer Center of the Novosibirsk State University, and Joint Supercomputer Center RAS. Publisher Copyright: © 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2020/10

Y1 - 2020/10

N2 - We study a two-dimensional flow over a cylinder and three ellipseswith the aspect ratio a/b= 2.04 ,3.65 ,and 5 at a Reynolds number Re= 100 based on the inflow velocity and hydraulic diameter using a directnumerical simulation (DNS) and linear stability analysis. The DNS showsthat increase in a/bleads to stabilization of the flow due to decrease in the recirculationzone. The linear stability analysis based on the time-averaged velocityfield shows that the modes of interest describe a Karman vortex street.The oscillation frequency reconstructed from the linear stabilityanalysis is in excellent agreement with the DNS. Solving the linearizedadjoint equations made it possible to identify the flow area wheredirect and adjoint modes overlap. These areas of the fieldSw,usually called “wavemaker,” change their shape with increase ina/b.Non-zero values of Swtend to approach the bottom part of the “tail” of the ellipse due to theasymmetry of the recirculation region, attached to the top side of theellipse.

AB - We study a two-dimensional flow over a cylinder and three ellipseswith the aspect ratio a/b= 2.04 ,3.65 ,and 5 at a Reynolds number Re= 100 based on the inflow velocity and hydraulic diameter using a directnumerical simulation (DNS) and linear stability analysis. The DNS showsthat increase in a/bleads to stabilization of the flow due to decrease in the recirculationzone. The linear stability analysis based on the time-averaged velocityfield shows that the modes of interest describe a Karman vortex street.The oscillation frequency reconstructed from the linear stabilityanalysis is in excellent agreement with the DNS. Solving the linearizedadjoint equations made it possible to identify the flow area wheredirect and adjoint modes overlap. These areas of the fieldSw,usually called “wavemaker,” change their shape with increase ina/b.Non-zero values of Swtend to approach the bottom part of the “tail” of the ellipse due to theasymmetry of the recirculation region, attached to the top side of theellipse.

UR - http://www.scopus.com/inward/record.url?scp=85099781709&partnerID=8YFLogxK

U2 - 10.1134/S1810232820040050

DO - 10.1134/S1810232820040050

M3 - Article

AN - SCOPUS:85099781709

VL - 29

SP - 576

EP - 581

JO - Journal of Engineering Thermophysics

JF - Journal of Engineering Thermophysics

SN - 1810-2328

IS - 4

ER -

ID: 27590275