Welcome to my website
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
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3'rd Jan, 2005 to 14'th August 2006: Scientist, Computational and Theoretical Fluid Dynamics Division, National Aerospace Laboratories, Bangalore
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1'st September 2006 to July 2008: Post-doc, Projet OPALE, INRIA, Sophia Antipolis
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6 August 2008 to July 2011: Fellow, Tata Institute of Fundamental Research, Center for Applicable Mathematics, Bangalore.
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July 2011 to June 2018: Reader, Tata Institute of Fundamental Research, Center for Applicable Mathematics, Bangalore.
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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.
- Discontinuous Galerkin scheme for Euler and MHD equations on adaptive meshes
- Positivity preserving Discontinuous Galerkin scheme for ideal MHD
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An arbitrary Lagrangian-Eulerian discontinuous Galerkin method for compressible flows
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Hybridizable discontinuous Galerkin method for compressible Navier-Stokes
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Discontinuous Galerkin method for barotropic vorticity transport equation on the sphere
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Discontinuous Galerkin methods for anisotropic diffusion
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Finite volume and residual distribution methods for anisotropic diffusion
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Discontinuous Galerkin method for shallow water model on the sphere
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Finite volume method for compressible RANS on hybrid, unstructured grids
Organizational activities
- Instructional workshop on FEM, 2-13 July 2012
- International conference on conservation laws and applications, 1-3 July 2013
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IFCAM Summer school on numerics and control of PDEs, 22 July - 2 August, 2013
- Workshop on optimization with PDE constraints, Nov 25 - Dec 6, 2013
- Finite element meet, 18-20 Dec, 2014
- Advanced Summer School on Control and Numerics for Fluid-Structure Interaction Problems, 22-26 June, 2015
- Workshop on Control and Numerics for Fluid-Structure Interaction Problems, 29 June - 1 July, 2015
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Conference on Computational PDE, 21-23 Dec, 2015
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Compact course on compressible Navier-Stokes equations, May 2016.
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GIAN course on Computational Solution of Hyperbolic PDE at IIT Delhi, 4-15 December, 2017.
Fun in research
Computing