Abhishek Kumar


  • 45 Citations
  • 4 h-Index
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Personal profile


Dr. Abhishek Kumar is a research associate in the Applied Mathematics Research Center at Coventry University. In 2017, Dr. Kumar completed his PhD on the “Energy Spectra and Fluxes of Buoyancy-Driven Turbulent Flows” from Indian Institute of Technology Kanpur, India.

 During PhD, Dr. Kumar worked on the quantification of small-scale quantities for stably stratified turbulence and convective turbulence. He has performed direct numerical simulations for buoyancy-driven turbulence using a pseudo-spectral code Tarang and finite-volume solver OpenFOAM. An important unsolved problem in the field of buoyancy-driven turbulence is how to quantify the spectra and fluxes of kinetic and potential energies. He studied the energy spectrum and fluxes of both the stably stratified turbulence (SST) and the Rayleigh-Bénard convection (an idealized model of convective turbulence) using high-resolution simulation and modeling. He also studied the two-dimensional aspects of SST for strongly, moderately, and weakly stratified scenarios. 

Dr. Kumar joined Coventry University in November 2017 and is working on mixed convection in a confined domain. He is studying the transition between regimes employing linear stability and direct numerical simulation using spectral elements methods.

Research Interests

Hydrodynamic Stability; Buoyancy-Driven turbulence, Rayleigh-Bénard Convection; Geostrophic Turbulence

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Research Output 2014 2018

  • 45 Citations
  • 4 h-Index
  • 9 Article

Complexity of viscous dissipation in turbulent thermal convection

Bhattacharya, S., Pandey, A., Kumar, A. & Verma, M. K. 1 Mar 2018 In : Physics of Fluids. 30, 3, 1 p., 031702

Research output: Research - peer-reviewArticle

free convection
boundary layers
Rayleigh number
Prandtl number
2 Citations

Scaling of a Fast Fourier Transform and a pseudo-spectral fluid solver up to 196608 cores

Chatterjee, A. G., Verma, M. K., Kumar, A., Samtaney, R., Hadri, B. & Khurram, R. 1 Mar 2018 In : Journal of Parallel and Distributed Computing. 113, p. 77-91 15 p.

Research output: Research - peer-reviewArticle

Fast Fourier transforms

Statistical features of rapidly rotating decaying turbulence: Enstrophy and energy spectra and coherent structures

Sharma, M. K., Kumar, A., Verma, M. K. & Chakraborty, S. Apr 2018 In : Physics of Fluids. 30, 4, 1 p., 045103

Research output: Research - peer-reviewArticle

energy spectra
axes of rotation

Phenomenology of buoyancy-driven turbulence: Recent results

Verma, M. K., Kumar, A. & Pandey, A. 27 Feb 2017 In : New Journal of Physics. 19, 2

Research output: Research - peer-reviewArticle

Open Access
kinetic energy

Phenomenology of two-dimensional stably stratified turbulence under large-scale forcing

Kumar, A., Verma, M. K. & Sukhatme, J. 4 Mar 2017 In : Journal of Turbulence. 18, 3, p. 219-239 21 p.

Research output: Research - peer-reviewArticle

Kinetic energy
Potential energy