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Предыдущая версия справа и слева Предыдущая версия Следующая версия | Предыдущая версия | ||
ru:people:nikitin [2022/04/07 14:42] Kirill Nikitin |
ru:people:nikitin [2024/10/03 02:35] (текущий) Kirill Nikitin |
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- | {{:ru:people:ava-austin-2.jpg?200|}} | + | {{:ru:people:ava-austin-2.jpg?240|}} |
====== Kirill Dm. Nikitin ====== | ====== Kirill Dm. Nikitin ====== | ||
- | {{:ru:people:nikitin-cv.pdf|Curriculum Vitae}} | + | |
+ | {{:ru:people:nikitin_cv.pdf | Curriculum Vitae}} | ||
===== Contacts ===== | ===== Contacts ===== | ||
* e-mail: nikitin.kira (at) gmail.com | * e-mail: nikitin.kira (at) gmail.com | ||
- | * LinkedIn: [[:www.linkedin.com/in/kirill-d-nikitin/|Kirill Nikitin]] | + | * LinkedIn: [[http://linkedin.com/in/kirill-d-nikitin/|Kirill Nikitin]] |
===== Member of ===== | ===== Member of ===== | ||
- | [[:freesurface|]] | + | * [[:freesurface|]] |
- | + | * [[:fvmon|]] | |
- | [[:fvmon|]] | + | |
===== Publications ===== | ===== Publications ===== | ||
Строка 51: | Строка 51: | ||
==== Nonlinear FV methods for advection-diffusion and multi-phase flows ==== | ==== Nonlinear FV methods for advection-diffusion and multi-phase flows ==== | ||
- | [13] И.В.Капырин, К.Д.Никитин, А.В.Расторгуев, В.В.Сускин. Верификация моделей ненасыщенной фильтрации и переноса в зоне аэрации на примере расчетного кода GeRa %%//%% Вопросы атомной науки и техники, серия Математическое моделирование физических процессов, No. 1, (2017), С.60-75. | + | [16] I.Berre, et al. Verification benchmarks for single-phase flow in three-dimensional fractured porous media. %%//%% Advances in Water Resourcesthis, 2021, 147, 103759. |
- | [14] K.Nikitin, K.Novikov, Y.Vassilevski. Nonlinear finite volume method with discrete maximum principle for the two-phase flow model %%//%% Lobachevskii Journal of Mathematics, Vol.37, No.5, (2016), 570–581. http://dx.doi.org/10.1134/S1995080216050097 | + | [17] R.Yanbarisov, K.Nikitin. Projection-based monotone embedded discrete fracture method for flow and transport in porous media. %%//%% Journal of Computational and Applied Mathematics, 2021, 392, 113484. |
- | [15] 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 (2014), pp 311-324, DOI: 10.1007/s10596-013-9387-6. {{:nik-ter-vas-13.pdf|}} | + | [18] K.Nikitin, R.Yanbarisov. Monotone embedded discrete fractures method for flows in porous media. %%//%% Journal of Computational and Applied Mathematics, 2020, 365, 112353. |
- | [16] K.Nikitin, V.Kramarenko, Y. Vassilevski. Enhanced Nonlinear Finite Volume Scheme for Multiphase Flows %%//%% ECMOR-XV, 2016. http://www.earthdoc.org/publication/publicationdetails/?publication=86236 | + | [19] V.Kramarenko, K.Nikitin, Y.Vassilevski. A finite volume scheme with improved well |
+ | modeling in subsurface flow simulation. %%//%% Computational Geosciences, 2017. DOI: 10.1007/s10596-017-9685-5. | ||
+ | {{:cg-knv-v3.pdf|}} | ||
- | [17] I.Konshin, I.Kapyrin, K.Nikitin, K.Terekhov. Application of the parallel INMOST platform to subsurface flow and transport modelling %%//%% Parallel Processing and Applied Mathematics, Lecture Notes in Computer Science, Vol.9574, (2016), 277-286. http://dx.doi.org/10.1007/978-3-319-32152-3_26 | + | [20] И.В.Капырин, К.Д.Никитин, А.В.Расторгуев, В.В.Сускин. Верификация моделей ненасыщенной фильтрации и переноса в зоне аэрации на примере расчетного кода GeRa %%//%% Вопросы атомной науки и техники, серия Математическое моделирование физических процессов, No. 1, (2017), С.60-75. |
- | [18] K.D.Nikitin, K.M.Terekhov, Y.V.Vassilevski, "Multiphase flows -- nonlinear monotone FV scheme and dynamic grids" %%//%% ECMOR XIV - 14th European conference on the mathematics of oil recovery, (2014). | + | [21] K.Nikitin, K.Novikov, Y.Vassilevski. Nonlinear finite volume method with discrete maximum principle for the two-phase flow model %%//%% Lobachevskii Journal of Mathematics, Vol.37, No.5, (2016), 570–581. http://dx.doi.org/10.1134/S1995080216050097 |
- | [19] 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. | + | [22] K.Nikitin, V.Kramarenko, Y. Vassilevski. Enhanced Nonlinear Finite Volume Scheme for Multiphase Flows %%//%% ECMOR-XV, 2016. http://www.earthdoc.org/publication/publicationdetails/?publication=86236 |
- | [20] K.D.Nikitin, Y.V.Vassilevski. "A monotone non-linear finite volume method for advection-diffusion equations and multiphase flows." %%//%% 13th European Conference on the Mathematics of Oil Recovery, (2012), pp.1-21. {{:nik-vas-ecmor2012.pdf|PDF}} | + | [23] V.Kramarenko, K.Nikitin, Y.Vassilevski. A nonlinear correction FV scheme for near-well regions. %%//%% Finite Volumes for Complex Applications VIII, 2017. |
- | [21] 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), pp.761-769. | + | [24] I.Konshin, I.Kapyrin, K.Nikitin, K.Terekhov. Application of the parallel INMOST platform to subsurface flow and transport modelling %%//%% Parallel Processing and Applied Mathematics, Lecture Notes in Computer Science, Vol.9574, (2016), 277-286. http://dx.doi.org/10.1007/978-3-319-32152-3_26 |
- | [22] 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|PDF}} | + | [25] K.D.Nikitin, K.M.Terekhov, Y.V.Vassilevski, "Multiphase flows -- nonlinear monotone FV scheme and dynamic grids" %%//%% ECMOR XIV - 14th European conference on the mathematics of oil recovery, (2014). |
- | [23] К.Д.Никитин. "Нелинейный метод конечных объемов для задач двухфазной фильтрации." %%//%% Математическое моделирование, Т.22, №11, (2010), С.131-147 {{:nikitin10.pdf|PDF}}\\ | + | [26] 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. |
+ | |||
+ | [27] 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 (2014), pp 311-324, DOI: 10.1007/s10596-013-9387-6. {{:nik-ter-vas-13.pdf|}} | ||
+ | |||
+ | [28] K.D.Nikitin, Y.V.Vassilevski. "A monotone non-linear finite volume method for advection-diffusion equations and multiphase flows." %%//%% 13th European Conference on the Mathematics of Oil Recovery, (2012), pp.1-21. {{:nik-vas-ecmor2012.pdf|PDF}} | ||
+ | |||
+ | [29] 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), pp.761-769. | ||
+ | |||
+ | [30] 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|PDF}} | ||
+ | |||
+ | [31] К.Д.Никитин. "Нелинейный метод конечных объемов для задач двухфазной фильтрации." %%//%% Математическое моделирование, Т.22, №11, (2010), С.131-147 {{:nikitin10.pdf|PDF}}\\ | ||
//K.D.Nikitin. "Nonlinear finite volume method for two-phase flows." %%//%% Mathematical Modelling, Vol.22, No.11, (2010), pp.131-147. (in Russian)// | //K.D.Nikitin. "Nonlinear finite volume method for two-phase flows." %%//%% Mathematical Modelling, Vol.22, No.11, (2010), pp.131-147. (in Russian)// | ||
Строка 77: | Строка 89: | ||
=== The research was supported by === | === The research was supported by === | ||
+ | * Russian Science Foundation grants 18-71-10111; | ||
* RFBR grants 12-01-31275, 12-01-33084, 14-01-00830, 15-35-20991 and 17-01-00886; | * RFBR grants 12-01-31275, 12-01-33084, 14-01-00830, 15-35-20991 and 17-01-00886; | ||
* Federal program grants № P1127, P753, 02.740.11.0746, 14.740.11.1389 and 14.514.11.4057; | * Federal program grants № P1127, P753, 02.740.11.0746, 14.740.11.1389 and 14.514.11.4057; | ||
Строка 82: | Строка 95: | ||
---- | ---- | ||
- | ===== Visualizations: ===== | + | ===== Visualization ===== |
=== Octree-MAC method === | === Octree-MAC method === | ||
Строка 88: | Строка 101: | ||
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. Colored in 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.mp4|{{:movies:inviscid1.png?518x103|Adaptively refined grid}}]] |
- | [[http://dodo.inm.ras.ru/research/_media/movies:inviscid2.avi|{{:movies:inviscid2.png?518x103|Adaptively refined grid}}]] | + | [[http://dodo.inm.ras.ru/research/_media/movies:inviscid2.mp4|{{:movies:inviscid2.png?518x103|Adaptively refined grid}}]] |
=== Metro Station === | === Metro Station === | ||
Строка 96: | Строка 109: | ||
Flooding of the Polezhaevskaya Moscow Metro Station | Flooding of the Polezhaevskaya Moscow Metro Station | ||
- | [[http://dodo.inm.ras.ru/nikitink/Movies/Station/station-2.avi|{{:movies:station:0071.png?270x180|Flooding of the Polezhaevskaya Moscow Metro Station}}]] | + | [[http://dodo.inm.ras.ru/research/_media/movies:station:station-2.mp4|{{:movies:station:0071.png?270x180|Flooding of the Polezhaevskaya Moscow Metro Station}}]] |
Строка 103: | Строка 116: | ||
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 | ||
- | [[http://dodo.inm.ras.ru/nikitink/Movies/BD/hes-break2.avi|{{:movies:bd:hes-break2.png?270x180|Break of the Sayano–Shushenskaya Dam}}]] | + | [[http://dodo.inm.ras.ru/research/_media/movies:bd:hes-break2.mp4|{{:movies:bd:hes-break2.png?270x180|Break of the Sayano–Shushenskaya Dam}}]] |
- | [[http://dodo.inm.ras.ru/research/_media/movies:bd:hes-landslide2.avi|{{:movies:bd:hes-landslide.png?270x180|Landslide over the Sayano–Shushenskaya Dam}}]] | + | [[http://dodo.inm.ras.ru/research/_media/movies:bd:hes-landslide2.mp4|{{:movies:bd:hes-landslide.png?270x180|Landslide over the Sayano–Shushenskaya Dam}}]] |
- | + | ||
- | + | ||
- | === Viscoplastic dam break flow over incline plane === | + | |
- | + | ||
- | Dam break flow over incline plane with alpha = 18°.\\ | + | |
- | Herschel-Bulkley fluid with **K = 47.68 Pa/s^n, n = 0.415, tau_s = 89 Pa**. | + | |
- | + | ||
- | [[http://dodo.inm.ras.ru/research/_media/movies:bd:incline_no_gate.avi|{{:movies:bd:incline_no_gate.png?270x180|Flow with no 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 === | + | |
- | + | ||
- | * No plasticity: **K = 1/150, tau_s = 0**. | + | |
- | * Low plasticity: **K = 1/150, tau_s = 0.02**. | + | |
- | * High plasticity: **K = 1/150, tau_s = 0.04**. | + | |
- | + | ||
- | [[http://dodo.inm.ras.ru/research/_media/movies:drop/drop_no_plast.avi|{{:movies:drop:drop_no_plast.png?270x180|No plasticity drop}}]] | + | |
- | [[http://dodo.inm.ras.ru/research/_media/movies:drop/drop_low_plast.avi|{{:movies:drop:drop_low_plast.png?270x180|Low 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 === | + | |
- | + | ||
- | 1) Semi-Lagrangian method (2nd order interpolation), 2) Semi-Lagrangian method (3srd order interpolation), 3) 2nd order upwind TVD | + | |
- | + | ||
- | [[http://dodo.inm.ras.ru/research/_media/movies:karman:karman-sl.avi|{{:movies:karman:karman-sl.png?150x300|Semi-Lagrangian method}}]] | + | |
- | [[http://dodo.inm.ras.ru/research/_media/movies:karman:karman-sl2.avi|{{:movies:karman:karman-sl2.png?150x300|Semi-Lagrangian method}}]] | + | |
- | [[http://dodo.inm.ras.ru/research/_media/movies:karman:karman-uw2tvd.avi|{{:movies:karman:karman-uw2tvd.png?150x300|2nd order upwind TVD}}]] | + | |
=== The breaking dam problem === | === The breaking dam problem === | ||
Строка 137: | Строка 123: | ||
{{:movies:bd:bd_scheme_1.jpg?270x180|Breaking dam scheme}} | {{:movies:bd:bd_scheme_1.jpg?270x180|Breaking dam scheme}} | ||
- | [[http://www.inm.ras.ru/research/_media/movies:bd:bd.avi|{{:movies:bd:bd.png?270x180|Breaking dam}}]] | + | [[http://dodo.inm.ras.ru/research/_media/movies:bd:bd.mp4|{{:movies:bd:bd.png?270x180|Breaking dam}}]] |
{{: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 === | ||
- | |||
- | [[http://dodo.inm.ras.ru/research/_media/movies:picnic.avi|{{:movies:picnic.png?270x180|Drop}}]] | ||
=== Flooding the city === | === 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.mp4|{{:movies:city:city1.jpg?270x180|Flood}}]] |
- | [[http://dodo.inm.ras.ru/research/_media/movies:city:city2.avi|{{:movies:city:city2.jpg?270x180|Flood}}]] | + | [[http://dodo.inm.ras.ru/research/_media/movies:city:city2.mp4|{{:movies:city:city2.jpg?270x180|Flood}}]] |
- | [[http://dodo.inm.ras.ru/research/_media/movies:city:city3.avi|{{:movies:city:city3-2.png?270x180|Flood}}]] | + | [[http://dodo.inm.ras.ru/research/_media/movies:city:city3.mp4|{{:movies:city:city3-2.png?270x180|Flood}}]] |
- | + | [[http://dodo.inm.ras.ru/research/_media/movies:city:city4.mp4|{{: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 === | === 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/research/_media/movies:drop:dropfall.mp4|{{: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.mp4|{{:movies:drop:falling_drops.png?270x150|Drop}}]] |
=== Boat under the waves === | === 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.mp4|{{: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.mp4|{{:movies:bay:yalikbay4.jpg?270x180|Bay}}]] |
=== Model of Armadillo === | === 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.mp4|{{:movies:armadillo:arma1.jpg?270x180|Armadillo}}]] |
- | [[http://dodo.inm.ras.ru/research/_media/movies:armadillo:arma2.avi|{{:movies:armadillo:arma2.jpg?270x180|Armadillo}}]] | + | [[http://dodo.inm.ras.ru/research/_media/movies:armadillo:arma2.mp4|{{:movies:armadillo:arma2.jpg?270x180|Armadillo}}]] |
- | [[http://dodo.inm.ras.ru/research/_media/movies:armadillo:arma3.avi|{{:movies:armadillo:arma3.jpg?270x180|Armadillo}}]] | + | [[http://dodo.inm.ras.ru/research/_media/movies:armadillo:arma3.mp4|{{:movies:armadillo:arma3.jpg?270x180|Armadillo}}]] |
- | [[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.mp4|{{:movies:armadillo:arma5.jpg?270x180|Armadillo}}]] |
=== Waves on a surface === | === 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.mp4|{{: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.mp4|{{:movies:wave:wave2.jpg?270x180|Filling a glass}}]] |
=== Filling a glass with a liquid === | === 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.mp4|{{: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.mp4|{{:movies:glass:glass8.jpg?270x180|Filling a glass}}]] |
=== A drop, falling into a glass with water === | === 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.mp4|{{: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.mp4|{{:movies:drop:drop3-5.jpg?270x180|Falling drop}}]] |