Ajit Kumar | Department of Mathematics

Profile

Ajit
Kumar
Assistant Professor
Department of Mathematics
School of Natural Sciences (SoNS)
B122E, Shiv Nadar University
Shiv Nadar University Uttar Pradesh
India
0120-3819-100
Extn: 
270
Profile Summary 

Research Interests

Computational Fluid Dynamics, Finite Volume Method, Fluid-Structure Interaction (FSI) problems, Shape Optimization

I ​specialise in solving Partial Differential Equations using numerical methods. I am particularly fond of using OpenFOAM, an open source package for discretizing PDEs using Finite Volume Method. At present we are working on developing following modules in OpenFOAM: Shape Optimisation codes, Immersed Boundary Methods. We are also extensively using the newly developed OpenFOAM's overset mesh support to study designs of Vertical Axis Wind Turbines (VAWT).

My webpage: https://krajit.github.io/


Current Students

  • Praveen Laws (PhD Student. Dept of Mechanical Engineering, Joined in summer 2017), Using OpenFOAM to design optimal Vertical Axis Wind Turbines.
  • Magu Ram (MTech Student. Dept of Mechanical Engineering, Joined in summer 2018), Developing Immersed Boundary Method module in OpenFOAM.
  • Amrita Singh (PhD Student, Dept of Mathematics, Joined in Aug 2018), Thesis topic not decided yet.
  • Renu Saraswat (PhD Student, Dept of Mathematics, Joined in Aug 2018), Thesis topic not decided yet.

Past Students

  • Jaskaran Singh Saini (B Tech Project, Mechanical, July 2017 to July 2018), Performance analysis of two-dimensional NACA 0018 airfoil using an overset grid solver
  • Dhruvi Sharma (BS Maths Project, Aug 2017 to May 2018), A mathematical Modelling of semi-arid region
  • Anand Sagar Gupta (B Tech Project, Mechanical, Summer 2017), Numerical Study of cricket ball aerodynamics using non-uniform rough wall boundary condition

Scholarly Activity

Journal Publications (accepted or published)

2014

A. Veliz-Cuba, A. Kumar, K. Josic. Piecewise linear and boolean models of chemical reaction networks. Bulletin of Mathematical Biology. Volume 76-12. Pages 2945-2984. 2014

2011

A. Kumar and K. Josic. Reduced models of networks of coupled enzymatic reactions. Journal of Theoretical Biology. Volume 278-1. Pages 87-106. 2011

Conference/Symposium

2015

A. Kumar. Numerical simulation of cricket ball swings using OpenFOAM. 17th Annual CFD Symposium. National Aerospace Lab. Bangalore. India. 2015

2018

J Saini, P Laws, A Kumar. Performance Analysis of  Two-dimensional NACA 0018 Airfoil Using an Overset Grid Solver. 20th Annual CFD Symposium. National Aerospace Lab. Bangalore. India. 2018