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freesurface [2013/06/16 09:35]
Kirill Terekhov [Visualizations:]
freesurface [2019/06/24 17:27] (current)
Kirill Nikitin
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-===== Workgroup under the direction of Yuri Vassilevski: =====+===== Free surface flows research group: =====
   * [[http://​www.inm.ras.ru/​persons/​vuv.htm|Yuri Vassilevski]] (deputy director of [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]], professor at [[http://​www.msu.ru/​|MSU]])   * [[http://​www.inm.ras.ru/​persons/​vuv.htm|Yuri Vassilevski]] (deputy director of [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]], professor at [[http://​www.msu.ru/​|MSU]])
-  * [[http://​dodo.inm.ras.ru/​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]])
-  * Kirill Terekhov (Ph.D. ​student ​at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]]) +  * 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. ​student ​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 Mathematics,​ Vol.29, No.6, 2011, 605–622. {{:​notv2011.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) 
 + 
 +[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) 
 + 
 +[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. 
 + 
 +[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)
  
 ---- ----
  
 === 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 ​and 12-01-31275-mol_a;​ +  * RFBR grants 11-01-00971-a,​ 12-01-00283-a,​ 12-01-91330-NNIO_a12-01-31275-mol_a ​and 14-01-00830
-  * Federal program grants № P753, 02.740.11.0746 ​and 14.740.11.1389.+  * Federal program grants № P753, 02.740.11.074614.740.11.1389 ​and 14.514.11.4057;​ 
 +  * Russian Science Foundation grant 14-11-00434.
  
 ---- ----
 ===== Visualizations:​ ===== ===== Visualizations:​ =====
  
-=== Octree-MAC method ​(2013) ​===+=== 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 === 
 + 
 +Simulation of the flow around cylinder with circular cross-section in inviscid limit with grid refined towards absolute value of vorticity. Colored in absolute value of vorticity.
  
-Simulation of the flow around cylinder with circular cross-section in inviscid limit with grid refined towards absolute value of vorticity.+[[http://​dodo.inm.ras.ru/​research/​_media/​movies:​inviscid1.avi|{{:​movies:​inviscid1.png?​518x103|Adaptively refined grid}}]]
  
-[[http://​dodo.inm.ras.ru/​research/​_media/​movies:​inviscid1.avi|{{:​movies:​inviscid1.png?​518x103|Adaptive flow}}]]+[[http://​dodo.inm.ras.ru/​research/​_media/​movies:​inviscid2.avi|{{:​movies:​inviscid2.png?​518x103|Adaptively refined ​ grid}}]]
  
  
-=== Metro Station ​(2011) ​===+=== Metro Station ===
  
 Flooding of the Polezhaevskaya Moscow Metro Station Flooding of the Polezhaevskaya Moscow Metro Station
Line 51: Line 74:
  
  
-=== Sayano–Shushenskaya Dam (2011) ​===+=== Sayano–Shushenskaya Dam ===
  
 1) Break of the Sayano–Shushenskaya Dam, 2) Landslide over the Sayano–Shushenskaya Dam 1) Break of the Sayano–Shushenskaya Dam, 2) Landslide over the Sayano–Shushenskaya Dam
Line 59: Line 82:
  
  
-=== Viscoplastic dam break flow over incline plane. (2011, [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°.\\
Line 67: Line 90:
 [[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 ​(2011, [1]) ===+=== Freely oscillating viscoplastic droplet ===
  
   * No plasticity: **K = 1/150, tau_s = 0**.   * No plasticity: **K = 1/150, tau_s = 0**.
Line 77: Line 100:
 [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​drop/​drop_high_plast.avi|{{:​movies:​drop:​drop_high_plast.png?​270x180|High plasticity drop}}]] [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​drop/​drop_high_plast.avi|{{:​movies:​drop:​drop_high_plast.png?​270x180|High plasticity drop}}]]
  
-=== A von Karman vortex street behind cylinder. (2011) ​===+=== A von Karman vortex street behind cylinder ===
  
 1) Semi-Lagrangian method (2nd order interpolation),​ 2) Semi-Lagrangian method (3srd order interpolation),​ 3) 2nd order upwind TVD 1) Semi-Lagrangian method (2nd order interpolation),​ 2) Semi-Lagrangian method (3srd order interpolation),​ 3) 2nd order upwind TVD
Line 93: Line 116:
 {{:​movies:​bd:​dam-1.png?​250|}}{{:​movies:​bd:​front_new.png?​240x210|}} {{:​movies:​bd:​dam-1.png?​250|}}{{:​movies:​bd:​front_new.png?​240x210|}}
  
-=== Picnic chocolate. (2010) ​===+=== Picnic chocolate ===
  
 [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​picnic.avi|{{:​movies:​picnic.png?​270x180|Drop}}]] [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​picnic.avi|{{:​movies:​picnic.png?​270x180|Drop}}]]
  
-=== Flooding the city. (2010--2009) ​===+=== Flooding the city ===
  
 [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​city:​city1.avi|{{:​movies:​city:​city1.jpg?​270x180|Flood}}]] [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​city:​city1.avi|{{:​movies:​city:​city1.jpg?​270x180|Flood}}]]
Line 105: Line 128:
 [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​city:​city4.avi|{{:​movies:​city:​city4.png?​380x180|Flood}}]] [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​city:​city4.avi|{{:​movies:​city:​city4.png?​380x180|Flood}}]]
  
-=== A drop, falling into a shallow water. (2010) ​===+=== A drop, falling into a shallow water ===
  
 [[http://​dodo.inm.ras.ru/​nikitink/​Movies/​Drop/​dropfall.avi|{{:​movies:​drop:​dropfall.png?​270x180|Drop}}]] [[http://​dodo.inm.ras.ru/​nikitink/​Movies/​Drop/​dropfall.avi|{{:​movies:​drop:​dropfall.png?​270x180|Drop}}]]
 [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​drop:​falling_drops.avi|{{:​movies:​drop:​falling_drops.png?​270x150|Drop}}]] [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​drop:​falling_drops.avi|{{:​movies:​drop:​falling_drops.png?​270x150|Drop}}]]
  
-=== Boat under the waves. (2010) ​===+=== Boat under the waves ===
  
 [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​bay:​yalikbay3.avi|{{:​movies:​bay:​yalikbay3.jpg?​270x180|Bay}}]] [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​bay:​yalikbay3.avi|{{:​movies:​bay:​yalikbay3.jpg?​270x180|Bay}}]]
 [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​bay:​yalikbay4.avi|{{:​movies:​bay:​yalikbay4.jpg?​270x180|Bay}}]] [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​bay:​yalikbay4.avi|{{:​movies:​bay:​yalikbay4.jpg?​270x180|Bay}}]]
  
-=== Model of Armadillo. (2009) ​===+=== Model of Armadillo ===
  
 [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​armadillo:​arma1.avi|{{:​movies:​armadillo:​arma1.jpg?​270x180|Armadillo}}]] [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​armadillo:​arma1.avi|{{:​movies:​armadillo:​arma1.jpg?​270x180|Armadillo}}]]
Line 122: Line 145:
 [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​armadillo:​arma5.avi|{{:​movies:​armadillo:​arma5.jpg?​270x180|Armadillo}}]] [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​armadillo:​arma5.avi|{{:​movies:​armadillo:​arma5.jpg?​270x180|Armadillo}}]]
  
-=== Waves on a surface. (2008) ​===+=== Waves on a surface ===
  
 [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​wave:​wave1.avi|{{:​movies:​wave:​wave1.jpg?​270x180|Filling a glass}}]] [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​wave:​wave1.avi|{{:​movies:​wave:​wave1.jpg?​270x180|Filling a glass}}]]
 [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​wave:​wave2.avi|{{:​movies:​wave:​wave2.jpg?​270x180|Filling a glass}}]] [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​wave:​wave2.avi|{{:​movies:​wave:​wave2.jpg?​270x180|Filling a glass}}]]
  
-=== Filling a glass with a liquid. (2008) ​===+=== Filling a glass with a liquid ===
  
 [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​glass:​glass3.avi|{{:​movies:​glass:​glass3.jpg?​270x180|Filling a glass}}]] [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​glass:​glass3.avi|{{:​movies:​glass:​glass3.jpg?​270x180|Filling a glass}}]]
 [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​glass:​glass8.avi|{{:​movies:​glass:​glass8.jpg?​270x180|Filling a glass}}]] [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​glass:​glass8.avi|{{:​movies:​glass:​glass8.jpg?​270x180|Filling a glass}}]]
  
-=== A drop, falling into a glass with water. (2008) ​===+=== A drop, falling into a glass with water ===
  
 [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​drop:​drop3-4.avi|{{:​movies:​drop:​drop3-4.jpg?​270x180|Falling drop}}]] [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​drop:​drop3-4.avi|{{:​movies:​drop:​drop3-4.jpg?​270x180|Falling drop}}]]
 [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​drop:​drop3-5.avi|{{:​movies:​drop:​drop3-5.jpg?​270x180|Falling drop}}]] [[http://​dodo.inm.ras.ru/​research/​_media/​movies:​drop:​drop3-5.avi|{{:​movies:​drop:​drop3-5.jpg?​270x180|Falling drop}}]]
freesurface.1371375309.txt.gz · Last modified: 2014/04/22 08:19 (external edit)