I am an associate professor in the Tata Institute of Fundamental Research, Center for Applicable Mathematics, Bangalore. My official page is located here.

If you are a student looking for internship, project assistant position or postdoc position, please read this.

For the details of the numerical scheme, see here.

Experience

• 3’rd Jan, 2005 to 14’th August 2006: Scientist, Computational and Theoretical Fluid Dynamics Division, National Aerospace Laboratories, Bangalore
• 1’st September 2006 to July 2008: Post-doc, Projet OPALE, INRIA, Sophia Antipolis
• 6 August 2008 to July 2011: Fellow, Tata Institute of Fundamental Research, Center for Applicable Mathematics, Bangalore.
• July 2011 to June 2018: Reader, Tata Institute of Fundamental Research, Center for Applicable Mathematics, Bangalore.
• July 2018 to present: Associate Professor (G), Tata Institute of Fundamental Research, Center for Applicable Mathematics, Bangalore.

Education

• BE, Mechanical Engineering, KREC, Surathkal, 1994-1998
• ME, Aerospace Engineering, IISc, Bangalore, 1998-2000 (SR No. 605198127)
• PhD, Aerospace Engineering, IISc, Bangalore, 2000-2004 (SR No. 115199529)

Research

My primary research interest is CFD and its applications. I am also interested in numerical analysis and numerical solution of PDE in general.

• Computational Fluid Dynamics
• Kinetic schemes for compressible flows
• Meshless method
• Finite volume method
• Finite element and Discontinuous Galerkin Method
• Compressible flows, MHD, Shallow water
• Well-balanced scheme
• Adjoint equations and solvers
• Automatic differentiation
• Shape optimization
• Simplex method
• Particle swarm optimization
• Metamodelling, surrogate models
• Parallel computing

Research Projects

A list of research topics, some of which are completed, some semi-completed and others still ongoing.

1. Discontinuous Galerkin scheme for Euler and MHD equations on adaptive meshes
2. Positivity preserving Discontinuous Galerkin scheme for ideal MHD
3. An arbitrary Lagrangian-Eulerian discontinuous Galerkin method for compressible flows
4. Hybridizable discontinuous Galerkin method for compressible Navier-Stokes
5. Discontinuous Galerkin method for barotropic vorticity transport equation on the sphere
6. Discontinuous Galerkin methods for anisotropic diffusion
7. Finite volume and residual distribution methods for anisotropic diffusion
8. Discontinuous Galerkin method for shallow water model on the sphere
9. Finite volume method for compressible RANS on hybrid, unstructured grids

Organizational activities

1. Instructional workshop on FEM, 2-13 July 2012
2. International conference on conservation laws and applications, 1-3 July 2013
3. IFCAM Summer school on numerics and control of PDEs, 22 July - 2 August, 2013
4. Workshop on optimization with PDE constraints, Nov 25 - Dec 6, 2013
5. Finite element meet, 18-20 Dec, 2014
6. Advanced Summer School on Control and Numerics for Fluid-Structure Interaction Problems, 22-26 June, 2015
7. Workshop on Control and Numerics for Fluid-Structure Interaction Problems, 29 June - 1 July, 2015
8. Conference on Computational PDE, 21-23 Dec, 2015
9. Compact course on compressible Navier-Stokes equations, May 2016.
10. GIAN course on Computational Solution of Hyperbolic PDE at IIT Delhi, 4-15 December, 2017.

Fun in research

• Will the wind tunnel replace the computer ?
• The Wine Snobs Guide To Flux Functions
• The Fitted Mesh Story...,
• A one-sided view
• The Turbulent History of Fluid Mechanics

Computing

• Computing on Mac OSX
• Amrex | Bash | cchpc19 | Clawpack | Debian | Docker | Fenics | Git HowTo | Gnuplot | Homebrew | Julia | Jupyter | Latex | LFTP | Matplotlib | OpenSuse | PBS | Python | Spack | SSH | TeXMacs | Vim | VisIt | WSL
• Computers at TIFR-CAM
• TIFR cluster (DEPRECATED)