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 | 98 | 2019 |
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 | 50 | 2020 |
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 | 47 | 2020 |
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 | 46 | 2018 |
Multi-layer quasi-geostrophic ocean dynamics in Eddy-resolving regimes IV Shevchenko, PS Berloff Ocean Modelling 94, 1-14, 2015 | 44 | 2015 |
Absorbing boundary conditions for nonlinear acoustics: The Westervelt equation I Shevchenko, B Kaltenbacher Journal of Computational Physics 302, 200-221, 2015 | 30 | 2015 |
Modelling uncertainty using circulation-preserving stochastic transport noise in a 2-layer quasi-geostrophic model C Cotter, D Crisan, DD Holm, W Pan, I Shevchenko arXiv 2018, 2018 | 29 | 2018 |
On the roles of baroclinic modes in eddy-resolving midlatitude ocean dynamics I Shevchenko, P Berloff Ocean Modelling 111, 55-65, 2017 | 24 | 2017 |
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 | 21 | 2020 |
On dynamically unresolved oceanic mesoscale motions P Berloff, E Ryzhov, I Shevchenko Journal of Fluid Mechanics 920, A41, 2021 | 18 | 2021 |
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 | 18 | 2016 |
Eddy backscatter and counter-rotating gyre anomalies of midlatitude ocean dynamics I Shevchenko, P Berloff Fluids 1 (3), 28, 2016 | 17 | 2016 |
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 | 15 | 2021 |
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 | 15 | 2017 |
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 | 10 | 2012 |
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 | 10 | 2003 |
Численное исследование второго перехода в задаче плоской фильтрационной конвекции BН Говорухин, ИВ Шевченко Известия Российской академии наук. Механика жидкости и газа, 115-128, 2003 | 10 | 2003 |
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 | 9 | 2019 |
Self-adapting absorbing boundary conditions for the wave equation I Shevchenko, B Wohlmuth Wave motion 49 (4), 461-473, 2012 | 9 | 2012 |
A method for preserving large-scale flow patterns in low-resolution ocean simulations I Shevchenko, P Berloff Ocean Modelling 161, 101795, 2021 | 8 | 2021 |