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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 Dive into the research topics where Abhishek Kumar is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

  • 4 Similar Profiles
turbulence Physics & Astronomy
buoyancy Physics & Astronomy
convection Physics & Astronomy
Turbulence Mathematics
Scaling Mathematics
energy spectra Physics & Astronomy
scaling Physics & Astronomy
free convection Physics & Astronomy

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Research Output 2014 2020

  • 128 Citations
  • 7 h-Index
  • 13 Article

Mixed baroclinic convection in a cavity

Kumar, A. & Potherat, A., 7 Jan 2020, In : Journal of Fluid Mechanics. 885, 31 p., A40.

Research output: Contribution to journalArticle

Linear stability analysis
Mixed convection
Direct numerical simulation
Flow patterns

Turbulence in a stably stratified fluid: Onset of global anisotropy as a function of the Richardson number

Bhattacharjee, J. K., Kumar, A. & Verma, M. K., 17 Sep 2019, In : Physica Scripta. 94, 12, 10 p., 125008.

Research output: Contribution to journalArticle

Stratified Fluid
Richardson number
4 Citations (Scopus)
7 Downloads (Pure)

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
space probes
velocity distribution
free convection
energy spectra
8 Citations (Scopus)
9 Downloads (Pure)

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
free convection
boundary layers
Rayleigh number
Prandtl number
19 Citations (Scopus)
14 Downloads (Pure)

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
Fast Fourier transform
Fast Fourier transforms