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3D Visualization of the separated fluid flows

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Abstract

For the detailed investigation of the 3D unsteady incompressible viscous separated fluid flows around a sphere (for 200≤Re≤700) and a circular cylinder (for 200≤Re≤400) the direct numerical simulation and 3D visualization are used. For 3D visualization of the fluid flows around a sphere the definition of vortex core as a connected region containing two negative eigenvalues of theS 2+Ω 2 tensor is used (whereS i,j andΩ ij are the rate of strain and the rate of rotation tensors). The formation mechanism of vortices in the sphere wake for Re=500 is described in detail. For 3D visualization of the fluid flows around a circular cylinder the 3D isosurfaces of the streamwise component of vorticity ω x are used.

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Authors and Affiliations

  1. Institute for Computer Aided Design Russian Academy of Sciences (ICAD RAS), 19/18, 2nd Brestskaya str., 123056, Moscow, Russia

    Gushchin V. A., Kostomarov A. V. & Matyushin P. V.

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  1. Gushchin V. A.
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  2. Kostomarov A. V.
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  3. Matyushin P. V.
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Additional information

Valentin Gushchin: He received his MSc degree in Computer Research and Applied Mathematics in 1971 from the Moscow Institute of Physics and Technology (MIPT) (Faculty of Management and Applied Mathematics); his Ph. D. (Candidate of Science degree) in Computation Mathematics in 1975 from MIPT; and his Doctor of Science degree in Application of Mathematical Modeling in science & technology in 1990 from MIPT. From 1974 he works in MIPT (Chair of Mathematics), his current position in MIPT is a full professor (mathematical analysis, analytical geometry, differential equations, The theory of probability, The theory of functions of complex variables, Equations of mathematical physics). From 1974 till 1987 he worked in the Computing Center Russian Academy of Science (CC RAS) in Moscow. From 1987 he works in the Institute for Computer Aided Design Russian Academy of Science (ICAD RAS) in Moscow. His current position is a Deputy Director of ICAD RAS, Head of Department (research and development in the field of mathematical models, numerical methods for incompressible fluid flows, investigation of separated fluid flows; development of applied package (clean rooms, heating, ventilation and aeroconditioning); parallel computing). Thus he performed more then 30 years record proven track in the mathematical modelling, parallel computing, and applied packages development for hydrodynamic problems.

Alexei Kostomarov: He received his MSc degree in Computer Research and Applied Mathematics in 1995 from Moscow Institute of Physics and Technology (Faculty of Management and Applied Mathematics). From 1995 till 1999 he was a Post graduate student in Institute for Computer Aided Design Russian Academy of Sciences (ICAD RAS) in Moscow. From 1997 he works in ICAD RAS as a scientific researcher (computations of separated incompressible viscous fluid flows around a 2D and 3D circular cylinder, simulations air, heat, and masstransfer in the Clean Rooms).

Paul Matyushin: He received his MSc degree in Computer Research and Applied Mathematics in 1993 from Moscow Institute of Physics and Technology (MIPT) (Faculty of Management and Applied Mathematics), and his Ph. D. (Candidate of Science degree) in Application of Mathematical Modeling in science & technology in 2003 from MIPT. From 1997 he works in Institute for Computer Aided Design Russian Academy of Sciences (ICAD RAS) in Moscow as a scientific researcher (investigation of 3D separated incompressible viscous fluid flows around a sphere; calculations of 2D flows around arbitrary profile).

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Gushchin, V.A., Kostomarov, A.V. & Matyushin, P.V. 3D Visualization of the separated fluid flows. J Vis 7, 143–150 (2004). https://doi.org/10.1007/BF03181587

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  • DOI: https://doi.org/10.1007/BF03181587

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