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fvmon [2014/06/09 12:23]
Kirill Nikitin created
fvmon [2019/03/11 20:03]
Kirill Nikitin
Line 1: Line 1:
 ===== Nonlinear finite volumes schemes research group: ===== ===== Nonlinear finite volumes schemes 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]])
 +  * 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., 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., 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]])
-  * 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 =====
  
-[3A.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.24, No.3, (2009), pp.207–227.+[***new***Monotone embedded discrete fractures ​method for flows in porous media %%//​%% ​submitted2019.\\ 
 +{{:​medfv-scheme.pdf|Method description}} {{:​medfv-tests.pdf|Experiments}}
  
-[5] K.D.Nikitin, Y.V.Vassilevski. ​"monotone ​finite ​folume 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|}}+[*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|}}
  
 +[*] 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.5, 570-581. ​
 + ​{{::​lobachevskii_2016-v3.pdf|}}
  
 +[*] V.Kramarenko,​ K.Nikitin, Y.Vassilevski. A nonlinear correction FV scheme for near-well regions. %%//%% Finite Volumes for Complex Applications VIII, 2017.
  
 +[*] 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-Elliptic,​ Parabolic and Hyperbolic Problems. – Springer International Publishing, 2014, pp.655-663. {{:​fvca7-kapniktervas.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 Publishing, 2014, pp.197-205. {{:​chern-vass-fvca7.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|}}
 +
 +[*] 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|}}
 +
 +[*] K.Lipnikov, D.Svyatskiy,​ Y.Vassilevski. "​Minimal stencil finite volume scheme with the discrete maximum principle."​ %%//%% Russian Journal of Numerical Analysis and Mathematical Modelling, Vol.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 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 & Perspectives,​ Vol.1, 2011, 761–769.
 +
 +[*] 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|}}
 +
 +[*] 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.Nikitin. "​Nonlinear finite volume method for two-phase flow in porous media."​ (in Russian) %%//%%
 +Mathematical Modelling, Vol.22, No.11, (2010), 131-147. {{:​nikitin-10.pdf|}}
 +
 +[*] K.Lipnikov, D.Svyatskiy,​ Y.Vassilevski. "​Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes."​ %%//%% Journal of Computational Physics, Vol.228, No.3, (2009), pp.703-716.{{:​lip-svy-vas-09.pdf|}}
 +
 +[*] 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|}}
 +
 +[*] 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|}}
 +
 +[*] I.V.Kapyrin. "A Family of Monotone Methods for the Numerical Solution of Three-Dimensional Diffusion Problems on Unstructured Tetrahedral Meshes. %%//%% Doklady Mathematics,​ 2007, Vol. 76, No. 2, pp. 734–738. {{https://​link.springer.com/​content/​pdf/​10.1134/​S1064562407050249.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.txt · Last modified: 2019/05/14 13:09 by Kirill Nikitin