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Igor Shevchenko
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Numerically modeling stochastic Lie transport in fluid dynamics
C Cotter, D Crisan, DD Holm, W Pan, I Shevchenko
Multiscale Modeling & Simulation 17 (1), 192-232, 2019
962019
Modelling uncertainty using stochastic transport noise in a 2-layer quasi-geostrophic model
C Cotter, D Crisan, DD Holm, W Pan, I Shevchenko
arXiv preprint arXiv:1802.05711, 2018
682018
A particle filter for stochastic advection by Lie transport: a case study for the damped and forced incompressible two-dimensional Euler equation
C Cotter, D Crisan, DD Holm, W Pan, I Shevchenko
SIAM/ASA Journal on Uncertainty Quantification 8 (4), 1446-1492, 2020
452020
Data assimilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise
C Cotter, D Crisan, D Holm, W Pan, I Shevchenko
Journal of Statistical Physics 179 (5), 1186-1221, 2020
432020
Multi-layer quasi-geostrophic ocean dynamics in Eddy-resolving regimes
IV Shevchenko, PS Berloff
Ocean Modelling 94, 1-14, 2015
422015
Absorbing boundary conditions for nonlinear acoustics: The Westervelt equation
I Shevchenko, B Kaltenbacher
Journal of Computational Physics 302, 200-221, 2015
282015
On the roles of baroclinic modes in eddy-resolving midlatitude ocean dynamics
I Shevchenko, P Berloff
Ocean Modelling 111, 55-65, 2017
232017
Tracer-based estimates of eddy-induced diffusivities
M Haigh, L Sun, I Shevchenko, P Berloff
Deep Sea Research Part I: Oceanographic Research Papers 160, 103264, 2020
202020
On dynamically unresolved oceanic mesoscale motions
P Berloff, E Ryzhov, I Shevchenko
Journal of Fluid Mechanics 920, A41, 2021
162021
Eddy backscatter and counter-rotating gyre anomalies of midlatitude ocean dynamics
I Shevchenko, P Berloff
Fluids 1 (3), 28, 2016
162016
On low-frequency variability of the midlatitude ocean gyres
IV Shevchenko, PS Berloff, D Guerrero-López, JE Roman
Journal of Fluid Mechanics 795, 423-442, 2016
162016
Multiple equilibria, bifurcations and selection scenarios in cosymmetric problem of thermal convection in porous medium
VN Govorukhin, IV Shevchenko
Physica D: Nonlinear Phenomena 361, 42-58, 2017
152017
On non-uniqueness of the mesoscale eddy diffusivity
L Sun, M Haigh, I Shevchenko, P Berloff, I Kamenkovich
Journal of Fluid Mechanics 920, A32, 2021
142021
A multi‐time stepping integration method for the ultrasound heating problem
I Shevchenko, M Kaltenbacher, B Wohlmuth
ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2012
102012
Numerical investigation of the second transition in the problem of plane convective flow through a porous medium
VN Govorukhin, IV Shevchenko
Fluid Dynamics 38 (5), 760-771, 2003
102003
Численное исследование второго перехода в задаче плоской фильтрационной конвекции
BН Говорухин, ИВ Шевченко
Известия Российской академии наук. Механика жидкости и газа, 115-128, 2003
102003
Modelling uncertainty using circulation-preserving stochastic transport noise in a 2-layer quasi-geostrophic model (2018)
C Cotter, D Crisan, DD Holm, W Pan, I Shevchenko
arXiv preprint arXiv:1802.05711, 2018
92018
A method for preserving large-scale flow patterns in low-resolution ocean simulations
I Shevchenko, P Berloff
Ocean Modelling 161, 101795, 2021
82021
Well-posedness of the Westervelt equation with higher order absorbing boundary conditions
B Kaltenbacher, I Shevchenko
Journal of Mathematical Analysis and Applications 479 (2), 1595-1617, 2019
82019
Self-adapting absorbing boundary conditions for the wave equation
I Shevchenko, B Wohlmuth
Wave motion 49 (4), 461-473, 2012
82012
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Articles 1–20