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Personal profile

Biography

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

Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

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Research Output 2014 2018

  • 94 Citations
  • 5 h-Index
  • 11 Article
2 Citations (Scopus)

Applicability of Taylor's hypothesis in thermally driven turbulence

Kumar, A. & Verma, M. K., Apr 2018, In : Royal Society Open Science. 5, 15 p., 172152.

Research output: Contribution to journalArticle

Open Access
File
space probes
turbulence
velocity distribution
free convection
energy spectra
3 Citations (Scopus)

Complexity of viscous dissipation in turbulent thermal convection

Bhattacharya, S., Pandey, A., Kumar, A. & Verma, M. K., 29 Mar 2018, In : Physics of Fluids. 30, 3, 6 p., 031702.

Research output: Contribution to journalArticle

Open Access
File
free convection
dissipation
boundary layers
Rayleigh number
Prandtl number
13 Citations (Scopus)

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: Contribution to journalArticle

Open Access
File
Fast Fourier transforms
Genes
Fluids
Supercomputers
Communication
3 Citations (Scopus)

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, 14 p., 045103.

Research output: Contribution to journalArticle

Open Access
File
vorticity
energy spectra
turbulence
dissipation
axes of rotation

Surface Ocean Enstrophy, Kinetic Energy Fluxes and Spectra from Satellite Altimetry

Khatri, H., Sukhatme, J., Kumar, A. & Verma, M. K., 4 May 2018, In : Journal of Geophysical Research: Oceans. 123, 5, p. 3875-3892 18 p.

Research output: Contribution to journalArticle

Open Access
File
satellite altimetry
energy flux
kinetic energy
sea surface
eddy