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freesurface [2021/03/19 13:23] Kirill Nikitin |
freesurface [2021/11/11 09:30] Ruslan Yanbarisov |
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===== Free surface flows research group: ===== | ===== Free surface flows research group: ===== | ||
- | * [[https://dodo.inm.ras.ru/vassilevski|Yuri Vassilevski]] (deputy director of [[http://www.inm.ras.ru/inm_en_ver/index.htm|INM RAS]], professor at [[http://www.msu.ru/|MSU]], head of laboratory in Sechenov University) | + | * [[https://dodo.inm.ras.ru/vassilevski|Yuri Vassilevski]] (deputy director of [[http://www.inm.ras.ru/inm_en_ver/index.htm|INM RAS]], professor at [[http://www.msu.ru/|MSU]], head of laboratory in [[https://www.sechenov.ru/eng/|Sechenov University]]) |
* [[http://dodo.inm.ras.ru/research/ru/people/nikitin|Kirill Nikitin]] (Ph.D., researcher at [[http://www.inm.ras.ru/inm_en_ver/index.htm|INM RAS]]) | * [[http://dodo.inm.ras.ru/research/ru/people/nikitin|Kirill Nikitin]] (Ph.D., researcher at [[http://www.inm.ras.ru/inm_en_ver/index.htm|INM RAS]]) | ||
* [[http://www.math.uh.edu/~molshan/|Maxim Olshanskii]] (Associate Professor at [[http://www.uh.edu|University of Houston]], professor at [[http://www.msu.ru/|MSU]]) | * [[http://www.math.uh.edu/~molshan/|Maxim Olshanskii]] (Associate Professor at [[http://www.uh.edu|University of Houston]], professor at [[http://www.msu.ru/|MSU]]) | ||
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===== Publications ===== | ===== Publications ===== | ||
- | [1] K. Nikitin, K.Terekhov, Y.Vassilevski, "Two methods of surface tension treatment in free surface flow simulations" %%//%% Applied Mathematics Letters, Vol. 86, (December 2018), pp. 236-242. {{::1-s2.0-s089396591830226x-main.pdf|PDF}} | + | [1] K. Nikitin, Y.Vassilevski, R.Yanbarisov, "An implicit scheme for simulation of free surface non-Newtonian fluid flows on dynamically adapted grids" %%//%% Russian Journal of Numerical Analysis and Mathematical Modelling, Vol. 36, I. 3, (June 2021), pp. 165-176. {{freesurface::rjnamm_nvy_2021.pdf|PDF}} |
- | [2] K. Nikitin, M.Olshanskii, K.Terekhov, Y.Vassilevski, "A splitting method for free surface flows over partially submerged obstacles" %%//%% Russian Journal of Numerical Analysis and Mathematical Modelling, Vol. 33, No. 2, (2018), pp. 95-110. {{::semisubmerged.pdf|PDF}} | + | [2] R.Yanbarisov, Y.Efremov, N.Kosheleva, P.Timashev, Y.Vassilevski, "Numerical Modelling of Multicellular Spheroid Compression: Viscoelastic Fluid vs. Viscoelastic Solid" %%//%% Mathematics, Vol. 9, I. 18, (September 2021), DOI:10.3390/math9182333. {{freesurface::mdpi_mathematics_yektv_2021.pdf|PDF}} |
- | [3] K. Nikitin, M. Olshanskii, K. Terekhov, Y. Vassilevski, R. Yanbarisov. "An adaptive numerical method for free surface flows passing rigidly mounted obstacles" %%//%% Computers and Fluids, Vol. 148, (2017), pp. 56-69. {{::1-s2.0-s0045793017300518-main.pdf|PDF}} | + | [3] K. Nikitin, K.Terekhov, Y.Vassilevski, "Two methods of surface tension treatment in free surface flow simulations" %%//%% Applied Mathematics Letters, Vol. 86, (December 2018), pp. 236-242. {{::1-s2.0-s089396591830226x-main.pdf|PDF}} |
- | [4] K. Nikitin, K. Terekhov, M. Olshanskii, Y. Vassilevski. "A semi-largangian method on dynamically adapted octree meshes" %%//%% Russian Journal of Numerical Analysis and Mathematical Modelling, Vol. 30, No. 6, (2015), pp. 363-380. {{::semilagrn.pdf|PDF}} | + | [4] K. Nikitin, M.Olshanskii, K.Terekhov, Y.Vassilevski, "A splitting method for free surface flows over partially submerged obstacles" %%//%% Russian Journal of Numerical Analysis and Mathematical Modelling, Vol. 33, No. 2, (2018), pp. 95-110. {{::semisubmerged.pdf|PDF}} |
- | [5] K. Nikitin, M. Olshanskii, K. Terekhov, Y. Vassilevski. "A splitting method for numerical simulation of free surface flows of incompressible fluids with surface tension" %%//%% Computational Methods in Applied Mathematics, 2014, DOI:10.1515/cmam-2014-0025 {{::cmam-2014-0025.pdf|PDF}} | + | [5] K. Nikitin, M. Olshanskii, K. Terekhov, Y. Vassilevski, R. Yanbarisov. "An adaptive numerical method for free surface flows passing rigidly mounted obstacles" %%//%% Computers and Fluids, Vol. 148, (2017), pp. 56-69. {{::1-s2.0-s0045793017300518-main.pdf|PDF}} |
- | [6] A. Danilov, K. Nikitin, M. Olshanksii, K. Terekhov, Y. Vassilevski. "A unified approach for computing tsunami, waves, floods, and landslides" %%//%% Numerical mathematics and advanced applications – ENUMATH 2013 / Lecture Notes in Computational Science and Engineering, Vol. 103, (2015). {{ ::preprint_no13-24.pdf |PDF}} | + | [6] K. Nikitin, K. Terekhov, M. Olshanskii, Y. Vassilevski. "A semi-largangian method on dynamically adapted octree meshes" %%//%% Russian Journal of Numerical Analysis and Mathematical Modelling, Vol. 30, No. 6, (2015), pp. 363-380. {{::semilagrn.pdf|PDF}} |
- | [7] M.A.Olshanskii, K.M.Terekhov, Yu.V.Vassilevski. "An octree-based solver for the incompressible Navier-Stokes equations with enhanced stability and low dissipation" %%//%% Computers and Fluids, (2013). {{ ::preprintoctree_p.pdf |PDF}} | + | [7] K. Nikitin, M. Olshanskii, K. Terekhov, Y. Vassilevski. "A splitting method for numerical simulation of free surface flows of incompressible fluids with surface tension" %%//%% Computational Methods in Applied Mathematics, 2014, DOI:10.1515/cmam-2014-0025 {{::cmam-2014-0025.pdf|PDF}} |
- | [8] K.D.Nikitin, M.A.Olshanskii, K.M.Terekhov, Yu.V.Vassilevski. "CFD technology for 3D simulation of large-scale hydrodynamic events and disasters." %%//%% Russian Journal of Numerical Analysis and Mathematical Modelling, Vol.27, No.4, (2012), pp.399--412. {{:notv2012.pdf|PDF}} | + | [8] A. Danilov, K. Nikitin, M. Olshanksii, K. Terekhov, Y. Vassilevski. "A unified approach for computing tsunami, waves, floods, and landslides" %%//%% Numerical mathematics and advanced applications – ENUMATH 2013 / Lecture Notes in Computational Science and Engineering, Vol. 103, (2015). {{ ::preprint_no13-24.pdf |PDF}} |
- | [9] K.D.Nikitin, M.A.Olshanskii, K.M.Terekhov, Yu.V.Vassilevski. "A numerical method for the simulation of free surface flows of viscoplastic fluid in 3D." %%//%% Journal of Computational Mathematics, Vol.29, No.6, 2011, 605–622. {{:notv2011.pdf|PDF}} | + | [9] M.A.Olshanskii, K.M.Terekhov, Yu.V.Vassilevski. "An octree-based solver for the incompressible Navier-Stokes equations with enhanced stability and low dissipation" %%//%% Computers and Fluids, (2013). {{ ::preprintoctree_p.pdf |PDF}} |
- | [10] K.D.Nikitin "Finite volume method for advection-diffusion equation and multiphase flows", Ph.D. thesis, 2010. {{:nikitin-thesis.pdf|PDF}} (in Russian) | + | [10] K.D.Nikitin, M.A.Olshanskii, K.M.Terekhov, Yu.V.Vassilevski. "CFD technology for 3D simulation of large-scale hydrodynamic events and disasters." %%//%% Russian Journal of Numerical Analysis and Mathematical Modelling, Vol.27, No.4, (2012), pp.399--412. {{:notv2012.pdf|PDF}} |
- | [11] K.D.Nikitin. "Realistic free surface flow modelling on adaptive octree meshes." %%//%% SpbGU ITMO, Vol.70, No.6, (2010), pp.60-64. (in Russian) | + | [11] K.D.Nikitin, M.A.Olshanskii, K.M.Terekhov, Yu.V.Vassilevski. "A numerical method for the simulation of free surface flows of viscoplastic fluid in 3D." %%//%% Journal of Computational Mathematics, Vol.29, No.6, 2011, 605–622. {{:notv2011.pdf|PDF}} |
- | [12] K.D.Nikitin, M.A.Olshanskii, K.M.Terekhov, Y.V.Vassilevski. "Preserving distance property of level set function and simulation of free surface flows on adaptive grids" %%//%% Numerical geometry, grid generation and high perfomance computing, (2010), pp.25-32. | + | [12] K.D.Nikitin "Finite volume method for advection-diffusion equation and multiphase flows", Ph.D. thesis, 2010. {{:nikitin-thesis.pdf|PDF}} (in Russian) |
- | [13] [[freesurface/jcp|K.D.Nikitin, M.A.Olshanskii, K.M.Terekhov, Yu.V.Vassilevski, "Numerical simulations of free surface flows on adaptive cartesian grids with level set function method" // submitted, November 2010.]] {{:notv9.pdf|PDF}} | + | [13] K.D.Nikitin. "Realistic free surface flow modelling on adaptive octree meshes." %%//%% SpbGU ITMO, Vol.70, No.6, (2010), pp.60-64. (in Russian) |
- | [14] K.D.Nikitin, Yu.V.Vassilevski. "Free surface flow modelling on dynamically refined hexahedral meshes." %%//%% Russian Journal of Numerical Analysis and Mathematical Modelling, Vol.23, No.5, (2008), pp.469-485. {{ :nikitin-vassilevski-08.pdf |PDF}} | + | [14] K.D.Nikitin, M.A.Olshanskii, K.M.Terekhov, Y.V.Vassilevski. "Preserving distance property of level set function and simulation of free surface flows on adaptive grids" %%//%% Numerical geometry, grid generation and high perfomance computing, (2010), pp.25-32. |
- | [15] K.D.Nikitin. "Computational technology for free surface flows with the use of dynamic hexahedral meshes." %%//%% Computational Methods, Parallel Computing and Information Technology, MSU Publishing House, (2008), pp.183--193. (in Russian) | + | [15] [[freesurface/jcp|K.D.Nikitin, M.A.Olshanskii, K.M.Terekhov, Yu.V.Vassilevski, "Numerical simulations of free surface flows on adaptive cartesian grids with level set function method" // submitted, November 2010.]] {{:notv9.pdf|PDF}} |
+ | |||
+ | [16] K.D.Nikitin, Yu.V.Vassilevski. "Free surface flow modelling on dynamically refined hexahedral meshes." %%//%% Russian Journal of Numerical Analysis and Mathematical Modelling, Vol.23, No.5, (2008), pp.469-485. {{ :nikitin-vassilevski-08.pdf |PDF}} | ||
+ | |||
+ | [17] K.D.Nikitin. "Computational technology for free surface flows with the use of dynamic hexahedral meshes." %%//%% Computational Methods, Parallel Computing and Information Technology, MSU Publishing House, (2008), pp.183--193. (in Russian) | ||
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===== Visualizations: ===== | ===== Visualizations: ===== | ||
+ | |||
+ | === Viscoelastic drop fall on solid wall === | ||
+ | |||
+ | [[http://dodo.inm.ras.ru/research/_media/movies:viscoelastic_drop_fall128x64.mp4|{{:movies:viscoelastic_drop_fall128x64.png?270x180|Viscoelastic drop fall on solid wall}}]] | ||
=== Flow around an oil platform === | === Flow around an oil platform === |