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freesurface [2016/04/20 14:30]
Kirill Nikitin
freesurface [2019/06/24 17:27] (current)
Kirill Nikitin
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   * [[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]])
   * Kirill Terekhov (Ph.D., researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]], postdoc in [[http://​www.stanford.edu/​|Stanford University]])   * Kirill Terekhov (Ph.D., researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]], postdoc in [[http://​www.stanford.edu/​|Stanford University]])
-  * Alexey Chernyshenko (Ph.D., researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])+  * [[http://​dodo.inm.ras.ru/​research/​ru/​people/​chernyshenko|Alexey Chernyshenko]] (Ph.D., researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])
 ===== Publications ===== ===== Publications =====
  
-[1] 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.+[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}}
  
-[2] K.D.Nikitin. "Computational technology ​for free surface flows with the use of dynamic hexahedral meshes." %%//%% +[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 ModellingVol. 33, No. 2, (2018), pp. 95-110{{::​semisubmerged.pdf|PDF}}
-Computational Methods, Parallel Computing ​and Information TechnologyMSU Publishing House, (2008), pp.183--193 +
-(in Russian)+
  
-[3] [[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" // submittedNovember 2010.]] {{:notv9.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 FluidsVol. 148, (2017), pp. 56-69. {{::​1-s2.0-s0045793017300518-main.pdf|PDF}}
  
-[4] K.D.Nikitin, ​M.A.OlshanskiiK.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.+[4] K. Nikitin, ​KTerekhov, 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}}
  
-[5] K.D.Nikitin. "Realistic ​free surface ​flow modelling on adaptive octree meshes." %%//​%% ​SpbGU ITMOVol.70No.6, (2010), pp.60-64(in Russian)+[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 Mathematics2014DOI:10.1515/cmam-2014-0025 {{::​cmam-2014-0025.pdf|PDF}}
  
-[6] K.D.Nikitin "Finite volume method ​for advection-diffusion equation ​and multiphase flows", ​Ph.D. thesis2010. {{:nikitin-thesis.pdf|}} ​(in Russian)+[6] ADanilov, 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 EngineeringVol103(2015). {{ ::​preprint_no13-24.pdf |PDF}}
  
-[7] 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 MathematicsVol.29, No.6, 2011, 605–622. {{:notv2011.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}}
  
-[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."​ %%//​%% ​ +[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}}
-Russian Journal of Numerical Analysis and Mathematical Modelling, Vol.27, No.4, (2012), pp.399--412. {{:​notv2012.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).+[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 MathematicsVol.29, No.6, 2011, 605–622. {{:notv2011.pdf|PDF}}
  
-[10] 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 Engineering2015Vol103.+[10] K.D.Nikitin "Finite volume method ​for advection-diffusion equation ​and multiphase flows", ​Ph.D. thesis2010{{:​nikitin-thesis.pdf|PDF}} (in Russian)
  
-[11] 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 Mathematics2014DOI:10.1515/cmam-2014-0025+[11] K.D.Nikitin. "Realistic ​free surface ​flow modelling on adaptive octree meshes." %%//​%% ​SpbGU ITMOVol.70No.6, (2010), pp.60-64. (in Russian)
  
-[12] K. Nikitin, ​KTerekhov, M. Olshanskii, Y. Vassilevski. "A semi-largangian ​method on dynamically ​adapted octree ​meshes"​ %%//%% Russian Journal of Numerical Analysis and Mathematical Modelling, 2015, Vol. 30, No. 6, pp. 363-380.+[12] K.D.Nikitin, ​M.A.OlshanskiiK.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. 
 + 
 +[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}} 
 + 
 +[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}} 
 + 
 +[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)
  
 ---- ----
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 === The research is supported by === === The research is supported by ===
   * RFBR grants 11-01-00971-a,​ 12-01-00283-a,​ 12-01-91330-NNIO_a,​ 12-01-31275-mol_a and 14-01-00830;​   * RFBR grants 11-01-00971-a,​ 12-01-00283-a,​ 12-01-91330-NNIO_a,​ 12-01-31275-mol_a and 14-01-00830;​
-  * Federal program grants № P753, 02.740.11.0746,​ 14.740.11.1389 and 14.514.11.4057.+  * Federal program grants № P753, 02.740.11.0746,​ 14.740.11.1389 and 14.514.11.4057
 +  * Russian Science Foundation grant 14-11-00434.
  
 ---- ----
 ===== Visualizations:​ ===== ===== Visualizations:​ =====
 +
 +=== Flow around an oil platform ===
 +
 +[[http://​dodo.inm.ras.ru/​research/​_media/​movies:​platform2.avi|{{:​movies:​platform2.png?​270x180|Flow around an oil platform}}]]
 +[[http://​dodo.inm.ras.ru/​research/​_media/​movies:​platform1.mp4|{{:​movies:​platform1.png?​270x180|Flow around an oil platform}}]]
 +
 +{{:​dynamic_loads.jpg?​400|}} {{:​oilrig_octree.png?​400|}}
 +
 +=== Genaldon glacier disaster ===
 +
 +[[http://​dodo.inm.ras.ru/​research/​_media/​movies:​genaldon.avi|{{:​movies:​genaldon.png?​270x180|Genaldon glacier disaster}}]]
  
 === Octree-MAC method === === Octree-MAC method ===
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-=== Viscoplastic dam break flow over incline plane [1] ===+=== Viscoplastic dam break flow over incline plane ===
  
 Dam break flow over incline plane with alpha = 18°.\\ Dam break flow over incline plane with alpha = 18°.\\
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 [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​bd:​incline_gate.avi|{{:​movies:​bd:​incline_gate.png?​270x180|Flow with a gate}}]] [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​bd:​incline_gate.avi|{{:​movies:​bd:​incline_gate.png?​270x180|Flow with a gate}}]]
  
-=== Freely oscillating viscoplastic droplet ​[1] ===+=== Freely oscillating viscoplastic droplet ===
  
   * No plasticity: **K = 1/150, tau_s = 0**.   * No plasticity: **K = 1/150, tau_s = 0**.
freesurface.1461162642.txt.gz · Last modified: 2016/04/20 14:30 by Kirill Nikitin