Publications
Manuscript Submitted
Abhishek Kumar and Alban Potherat, Suppressing instabilities in mixed baroclinic flow using an actuation based on receptivity, arXiv:2312.15121 (Submitted to the Journal of Fluid Mechanics).
Peer Reviewed Journal Articles
Prabir Kumar Kar, Ujjwal Chetan, Abhishek Kumar, P. K. Das and Rajaram Lakkaraju, Heat transport enhancement and flow transitions in partitioned thermal convection, Physical Review Fluids, 8, 043501 (2023). DOI: 10.1103/PhysRevFluids.8.043501
Abhishek Kumar and Alban Potherat, Mixed baroclinic convection in a cavity, Journal of Fluid Mechanics, 885, A40 (2020). DOI: 10.1017/jfm.2019.1015
Mahendra K Verma, Abhishek Kumar, and Akanksha Gupta, Hydrodynamic Turbulence: Sweeping Effect and Taylor’s Hypothesis via Correlation Function, Transactions of the Indian National Academy of Engineering, 5, 649–662 (2020). DOI: 10.1007/s41403-020-00161-3
Andrei Vasiliev, Peter Frick, Abhishek Kumar, Rodion Stepanov, Andrei Sukhanovskii, and Mahendra K Verma, Transient flows and reorientations of large-scale convection in a cubic cell, International Communications in Heat and Mass Transfer, 108, 104319 (2019). DOI: 10.1016/j.icheatmasstransfer.2019.104319
Jayanta K. Bhattacharjee, Abhishek Kumar and Mahendra K. Verma, Turbulence in a stably stratified fluid: Onset of global anisotropy as a function of the Richardson number, Physica Scripta, 94, 125008 (2019). DOI: 10.1088/1402-4896/ab36ce
Abhishek Kumar and Mahendra K. Verma, Applicability of Taylor's hypothesis in thermally driven turbulence, Royal Society Open Science, 5(4), 172152 (2018) [Work featured on the front cover of the journal]. DOI: 10.1098/rsos.172152
Mahendra K. Verma, Abhishek Kumar and Adhip Pattanayak Stochastic Bistable Systems: Competing Hysteresis and Phase Coexistence, Journal of Experimental and Theoretical Physics, 127, 549–557 (2018). DOI: 0.1134/S1063776118090212
H Khatri, J Sukhatme, Abhishek Kumar and Mahendra K. Verma, Surface Ocean Enstrophy, Kinetic Energy Fluxes, and Spectra From Satellite Altimetry, Journal of Geophysical Research: Oceans 123 (5), 3875-3892 (2018). DOI: 10.1029/2017JC013516
MK Sharma, Abhishek Kumar, Mahendra K. Verma, and S Chakraborty, Statistical features of rapidly rotating decaying turbulence: Enstrophy and energy spectra and coherent structures, Physics of Fluids, 30(4), 045103 (2018). DOI: 10.1063/1.5018346
S Bhattacharya, A Pandey, Abhishek Kumar, and Mahendra K. Verma, Complexity of viscous dissipation in turbulent thermal convection, Physics of Fluids, 30(3), 031702 (2018). DOI: 10.1063/1.5022316
AG Chatterjee, Mahendra K. Verma, Abhishek Kumar, R Samtaney, B Hadri, and R Khurram, Scaling of a Fast Fourier Transform and a pseudo-spectral fluid solver up to 196608 cores, Journal of Parallel and Distributed Computing, 113, 77-91 (2018). DOI: 10.1016/j.jpdc.2017.10.014
Mahendra K. Verma, Abhishek Kumar, and Ambrish Pandey, Phenomenology of buoyancy-driven turbulence: recent results, New Journal of Physics, 19, 025012 (2017). DOI: 10.1088/1367-2630/aa5d6
Abhishek Kumar, Mahendra K. Verma, and Jai Sukhatme, Phenomenology of two-dimensional stably stratified turbulence under large-scale forcing, Journal of Turbulence, 18, 3, 219-239, (2017). DOI: 10.1080/14685248.2016.1271123
Ambrish Pandey, Abhishek Kumar, Anando G. Chatterjee, and Mahendra K. Verma, Dynamics of large-scale quantities in Rayleigh-Bénard convection, Physical Review E, 94, 053106 (2016). DOI: 10.1103/PhysRevE.94.053106
Dinesh Nath, Ambrish Pandey, Abhishek Kumar, and Mahendra K. Verma, Near isotropic behaviour of turbulent thermal convection, Physical Review Fluids, 1, 064302 (2016). DOI: 10.1103/PhysRevFluids.1.064302
Abhishek Kumar and Mahendra K. Verma, Shell model for buoyancy-driven turbulence, Physical Review E, 91, 043014 (2015). DOI:10.1103/PhysRevE.91.043014
Abhishek Kumar, Anando G. Chatterjee, and Mahendra K. Verma, Energy spectrum of buoyancy-driven turbulence, Physical Review E, 90, 023016 (2014). DOI: 10.1103/PhysRevE.90.023016
Peer Reviewed Conference Proceedings
Damien Foster, Nikolaos G Fytas, Charo Del Genio, Ran Holtzman, Abhishek Kumar, Susanne Horn, Alban Potherat, Martin Weigel, and Taras Yavors’ Kii XXXII IUPAP Conference on Computational Physics, J. Phys.: Conf. Ser. 2207 011001 (2022).
Abhishek Kumar and Alban Potherat Stability of mixed baroclinic convection in a nearly semi-circular geometry, 25th International Congress on Theoretical and Applied Mechanics, Milan (2021).
Abhishek Kumar and Alban Potherat, Subcritical and supercritical transitions for stratified fluid in a nearly semicircular pool, Proceedings of the 17th European Turbulence Conference, 3-6 September, Turin, Italy (2019).
Abhishek Kumar and Alban Potherat, Linear stability of stably stratified flow in a curved geometry, Proceedings of the 12th European Fluid Mechanics Conference, 10-13 September, Vienna, Austria (2018).
Abhishek Kumar and Mahendra K. Verma, Shell model for buoyancy-driven turbulent flows. In T. K. Sengupta, S. Lele, K. R. Sreenivasan, and P. A. Davidson, editors, Advances in Computation, Modeling and Control of Transitional and Turbulent Flows, pages 232-241, World Scientific, (2015).
Mahendra K. Verma, Abhishek Kumar, and Anando G. Chatterjee, Energy spectrum and flux of buoyancy-driven turbulence. In T. K. Sengupta, S. Lele, K. R. Sreenivasan, and P. A. Davidson, editors, Advances in Computation, Modeling and Control of Transitional and Turbulent Flows, pages 442–451, World Scientific, (2015).
Abhishek Kumar and Mahendra K. Verma, A unified shell model for buoyancy-driven turbulence, Proceedings of the 15th European Turbulence Conference, 25-28 August, Delft, The Netherlands (2015).
Mahendra K. Verma and Abhishek Kumar, Sweeping has no effect on renormalized turbulent viscosity, Proceedings of the 15th European Turbulence Conference, 25-28 August, Delft, The Netherlands (2015).
PhD Thesis
Abhishek Kumar, Energy Spectra and Fluxes of Buoyancy-Driven Turbulent Flows, IIT Kanpur, 2017. [Link]