User Tools

Site Tools


fvmon

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
fvmon [2018/08/16 16:40]
Kirill Nikitin
fvmon [2019/05/14 16:09] (current)
Kirill Nikitin
Line 2: Line 2:
   * [[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]])
   * Ivan Kapyrin (Ph.D., senior researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])   * Ivan Kapyrin (Ph.D., senior 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://​dodo.inm.ras.ru/​research/​ru/​people/​nikitin|Kirill Nikitin]] (Ph.D., ​senior ​researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]]) 
-  * [[http://​dodo.inm.ras.ru/​research/​ru/​people/​danilov|Alexander Danilov]] (Ph.D., researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])+  * [[http://​dodo.inm.ras.ru/​research/​ru/​people/​danilov|Alexander Danilov]] (Ph.D., ​senior ​researcher 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]])   * 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]])
   * [[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]])   * [[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]])
 +  * Ruslan Yanbarisov (Ph.D. student at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])
 ===== Publications ===== ===== Publications =====
  
-[1K.Lipnikov, D.Svyatskiy,​ M.Shashkov, Y.Vassilevski. "Monotone ​finite volume schemes ​for diffusion equations on unstructured triangular and shape-regular polygonal meshes." ​%%//​%% ​Journal of Computational PhysicsVol.227, (2007), pp.492-512. {{:lip-svy-shash-vas-07.pdf|}}+[***new***] Monotone ​embedded discrete fractures method ​for flows in porous media %%//​%% ​submitted2019.\\ 
 +{{:medfv-scheme.pdf|Method description}} ​{{:medfv-tests.pdf|Experiments}}
  
-[2I.V.Kapyrin"Family of Monotone Methods for the Numerical Solution of Three-Dimensional Diffusion Problems on Unstructured Tetrahedral Meshes. %%//​%% ​Doklady Mathematics2007, Vol76, No2, pp. 734–738. {{https://​link.springer.com/​content/​pdf/​10.1134/​S1064562407050249.pdf}}+[*] V.Kramarenko, K.Nikitin, Y.Vassilevski. A finite volume scheme with improved well 
 +modeling in subsurface flow simulation. %%//​%% ​Computational Geosciences2017DOI: 10.1007/​s10596-017-9685-5. 
 + {{:cg-knv-v3.pdf|}}
  
-[3] Y.Vassilevski, I.Kapyrin, "Two splitting schemes ​for nonstationary convection-diffusion problems on tetrahedral meshes." ​%%//​%% ​Comp. Math. and Math. Phys. Vol.48, No.8(2008), 1349-1366. {{:kap-vas-08.pdf.pdf|}}+[*K.Nikitin, K.Novikov, ​Y.Vassilevski. ​Nonlinear finite volume method with discrete maximum principle ​for the two-phase flow model %%//​%% ​Lobachevskii Journal of Mathematics,​ 2016, Vol.37, No.5570-581 
 + {{::​lobachevskii_2016-v3.pdf|}}
  
-[4K.LipnikovD.Svyatskiy, Y.Vassilevski. ​"​Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes." ​%%//​%% ​Journal of Computational PhysicsVol.228, No.3, (2009), pp.703-716.{{:​lip-svy-vas-09.pdf|}}+[*V.KramarenkoK.Nikitin, Y.Vassilevski. ​A nonlinear correction FV scheme for near-well regions. %%//​%% ​Finite Volumes for Complex Applications VIII2017.
  
-[5A.A.Danilov, Y.V.Vassilevski. "A monotone nonlinear finite volume method ​for diffusion equations on conformal polyhedral meshes." ​%%//​%% ​Russian Journal of Numerical Analysis and Mathematical ModellingVol.24No.3, (2009), pp.207-227. {{:danilov-vassilevski-09.pdf|}}+[*I.V.Kapyrin, K.D.Nikitin,​ K.M.Terekhov, Y.V.Vassilevski, Nonlinear Monotone FV Schemes ​for Radionuclide Geomigration and Multiphase Flow Models ​%%//​%% ​Finite Volumes for Complex Applications VII-EllipticParabolic and Hyperbolic Problems– Springer International Publishing2014, pp.655-663. {{:fvca7-kapniktervas.pdf|}}
  
-[6K.Lipnikov, D.Svyatskiy, Y.Vassilevski. ​"monotone finite volume method ​for advection-diffusion equations ​on unstructured polygonal meshes." ​%%//​%% ​Journal of Computational Physics, Vol.229(2010), pp.4017-4032. {{:lip-svy-vas-10.pdf|}}+[*A.Chernyshenko, Y.Vassilevski. A Finite Volume Scheme with the Discrete Maximum Principle ​for Diffusion Equations ​on Polyhedral Meshes ​%%//​%% ​Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects– Springer International Publishing2014, pp.197-205. {{:chern-vass-fvca7.pdf|}}
  
-[7] K.D.Nikitin, Y.V.Vassilevski. "A monotone finite folume method for advection-diffusion equations ​on unstructured polyhedral meshes in 3D." ​%%//%% Russian Journal of Numerical Analysis and Mathematical Modelling, Vol.25, No.4, (2010), pp.335-358. {{:nikitin-vassilevski-10.pdf|}}+[*] K.Terekhov, Y.Vassilevski. "Two-phase water flooding simulations ​on dynamic adaptive octree grids with two-point nonlinear fluxes. %%//%% Russian Journal of Numerical Analysis and Mathematical Modelling, Vol.28, No.3, (2013), pp.267-288. {{:terekhov-vassilevski-13.pdf|}}
  
-[8] K.Nikitin. "Nonlinear ​finite volume method for two-phase flow in porous media." ​(in Russian) ​%%//%% +[*] K.D.Nikitin, K.M.Terekhov,​ Y.V.Vassilevski. "A monotone nonlinear ​finite volume method for diffusion equations and multiphase flows" %%//​%% ​Computational Geosciences, Vol. 18, No.3-4, (2013), 311-324, DOI: 10.1007/​s10596-013-9387-6. {{:nik-ter-vas-13.pdf|}}
-Mathematical Modelling, Vol.22, No.11, (2010), 131-147. {{:nikitin-10.pdf|}}+
  
-[9] K.NikitinA.DanilovI.Kapyrin, Yu.Vassilevski. "Application of nonlinear monotone ​finite volume ​schemes to advection-diffusion problems." %%//​%% ​Finite Volumes for Complex Applications VI – Problems & Perspectives, Vol.12011761–769.+[*] K.LipnikovD.SvyatskiyY.Vassilevski. "Minimal stencil ​finite volume ​scheme with the discrete maximum principle." %%//​%% ​Russian Journal of Numerical Analysis and Mathematical Modelling, Vol.27No.4(2012), 369-385. {{:​lip-svy-vas-12.pdf|}}
  
-[10] K.Lipnikov, D.Svyatskiy, Y.Vassilevski. "Minimal stencil ​finite volume ​scheme with the discrete maximum principle." %%//​%% ​Russian Journal of Numerical Analysis and Mathematical ModellingVol.27, No.4, (2012), 369-385. {{:lip-svy-vas-12.pdf|}}+[*] K.Nikitin, Y.Vassilevski. "A monotone ​finite volume ​method for advection diffusion equations and multiphase flows." %%//​%% ​Proceedings ECMOR XIIIEAGE, (2012). {{:nik-vas-ecmor2012.pdf|}}
  
-[11] K.Nikitin, ​Y.Vassilevski. "monotone finite volume ​method for advection diffusion ​equations and multiphase flows." %%//​%% ​Proceedings ECMOR XIII, EAGE(2012){{:​nik-vas-ecmor2012.pdf|}}+[*] K.Nikitin, ​A.Danilov, I.Kapyrin, Yu.Vassilevski. "Application of nonlinear ​monotone finite volume ​schemes to advection-diffusion ​problems." %%//​%% ​Finite Volumes for Complex Applications VI – Problems & PerspectivesVol.1, 2011, 761–769.
  
-[12] K.Terekhov, Y.Vassilevski. "Two-phase water flooding simulations ​on dynamic adaptive octree grids with two-point nonlinear fluxes. %%//​%% ​Russian ​Journal of Numerical Analysis and Mathematical Modelling, Vol.28, No.3, (2013), pp.267-288. {{:terekhov-vassilevski-13.pdf|}}+[*] K.Lipnikov, D.Svyatskiy, Y.Vassilevski. "A monotone finite volume method for advection-diffusion equations ​on unstructured polygonal meshes." ​%%//%% Journal of Computational Physics, Vol.229, (2010), pp.4017-4032. {{:lip-svy-vas-10.pdf|}}
  
-[13] K.D.Nikitin, K.M.Terekhov, Y.V.Vassilevski. "A monotone ​nonlinear ​finite volume method for diffusion equations ​and multiphase flows" %%//​%% ​Computational GeosciencesDOI: 10.1007/​s10596-013-9387-6.{{:nik-ter-vas-13.pdf|}}+[*] K.D.Nikitin,​ Y.V.Vassilevski. "A monotone finite volume method for advection-diffusion equations ​on unstructured polyhedral meshes in 3D." %%//​%% ​Russian Journal of Numerical Analysis and Mathematical ModellingVol.25, No.4, (2010), pp.335-358. {{:nikitin-vassilevski-10.pdf|}}
  
-[14I.V.Kapyrin, ​K.D.Nikitin, K.M.Terekhov, Y.V.Vassilevski, ​Nonlinear ​Monotone FV Schemes ​for Radionuclide Geomigration and Multiphase Flow Models ​%%//​%% ​Finite Volumes for Complex Applications VII-EllipticParabolic and Hyperbolic Problems– Springer International Publishing2014pp.655-663. {{:fvca7-kapniktervas.pdf|}}+[*] K.Nikitin. ​"Nonlinear ​finite volume method ​for two-phase flow in porous media."​ (in Russian) ​%%//%% 
 +Mathematical ModellingVol.22No.11(2010), 131-147. {{:nikitin-10.pdf|}}
  
-[15A.Chernyshenko, Y.Vassilevski. ​A Finite Volume Scheme with the Discrete Maximum Principle ​for Diffusion Equations ​on Polyhedral Meshes ​%%//​%% ​Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects– Springer International Publishing2014, pp.197-205. {{:chern-vass-fvca7.pdf|}}+[*K.Lipnikov, D.Svyatskiy, Y.Vassilevski. ​"​Interpolation-free monotone finite volume method ​for diffusion equations ​on polygonal meshes." ​%%//​%% ​Journal of Computational Physics, Vol.228No.3, (2009), pp.703-716.{{:lip-svy-vas-09.pdf|}}
  
-[16K.Nikitin, K.Novikov, Y.Vassilevski. ​Nonlinear ​finite volume method ​with discrete maximum principle ​for the two-phase flow model %%//​%% ​Lobachevskii ​Journal of Mathematics,​ 2016, Vol.37, No.5570-581 +[*A.A.Danilov, Y.V.Vassilevski. ​"A monotone nonlinear ​finite volume method for diffusion equations on conformal polyhedral meshes." ​%%//​%% ​Russian ​Journal of Numerical Analysis and Mathematical Modelling, Vol.24, No.3(2009), pp.207-227. {{:danilov-vassilevski-09.pdf|}}
- {{::​lobachevskii_2016-v3.pdf|}}+
  
-[17V.Kramarenko,​ K.Nikitin, ​Y.Vassilevski. ​A nonlinear correction FV scheme ​for near-well regions. %%//​%% ​Finite Volumes for Complex Applications VIII2017.+[*] Y.Vassilevski, I.Kapyrin, "Two splitting schemes ​for nonstationary convection-diffusion problems on tetrahedral meshes." ​%%//​%% ​Comp. Math. and Math. Phys. Vol.48No.8, (2008), 1349-1366. {{:​kap-vas-08.pdf.pdf|}}
  
-[18] V.Kramarenko, K.Nikitin, Y.Vassilevski. A finite volume scheme with improved well +[*I.V.Kapyrin"Family of Monotone Methods for the Numerical Solution of Three-Dimensional Diffusion Problems on Unstructured Tetrahedral Meshes. %%//​%% ​Doklady Mathematics2007, Vol76, No2, pp. 734–738. {{https://​link.springer.com/​content/​pdf/​10.1134/​S1064562407050249.pdf}}
-modeling in subsurface flow simulation. %%//​%% ​Computational Geosciences2017DOI: 10.1007/​s10596-017-9685-5. +
- {{:cg-knv-v3.pdf|}}+
  
 +[*] K.Lipnikov, D.Svyatskiy,​ M.Shashkov, Y.Vassilevski. "​Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes."​ %%//%% Journal of Computational Physics, Vol.227, (2007), pp.492-512. {{:​lip-svy-shash-vas-07.pdf|}}
fvmon.1534426835.txt.gz · Last modified: 2018/08/16 16:40 by Kirill Nikitin