Numerical algorithms for hyperbolic conservations laws, Scientific computing, Computational fluid dynamics, Compact schemes, ENO and Weighted ENO schemes, High-performance computing, Scalable implementation of high-order algorithms
University of Maryland, Applied Mathematics & Statistics, and Scientific Computation
Doctor of Philosophy, January 2013
Thesis: Compact-Reconstruction Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws (Adviser: James D. Baeder)
Indian Institute of Technology Bombay, Department of Aerospace Engineering
Bachelor of Technology and Master of Technology (Dual Degree), July 2006
Masters Thesis: Higher Order Non-Oscillatory Schemes in Ideal Magnetohydrodynamics (Adviser: Avijit Chatterjee)
Other Training Programs
Argonne Training Program for Extreme Scale Computing (ATPESC), August 3 - 15, 2015, St. Charles, IL
(February 2013 - Present)
- Implementation of multi-stage implicit and implicit-explicit (IMEX) Runge-Kutta schemes in PETSc.
- Application of high-order time-integrators in PETSc to computational physics codes.
- Scalable implementation of high-order finite-difference methods on peta-scale platforms (specifically IBM BG/Q).
- Developing high-order finite-difference methods for aerodynamic and atmospheric flows.
(August 2008 - January 2013)
- Derived and implemented high resolution, non-oscillatory reconstruction schemes for compressible flows characterized by a large range of length scales
- Developed a three-dimensional Cartesian incompressible Navier-Stokes solver using the Fractional-Step algorithm for high Reynolds number flows
- Simulated the interaction of multiple vortex rings with a solid wall
- Developed a simplified framework for rotorcraft wake modeling by implementing immersed boundaries (for fuselage) and momentum sources (for rotor) in a compressible Navier-Stokes solver
(August 2003 - June 2006)
- Developed and validated a robust, high-order accurate algorithm for ideal magnetohydrodynamics
- Studied the effect of non-convexity on the convergence of numerical schemes, including non-uniform convergence; refined the use of Monotonicity-Preserving limits on selected characteristic fields to ensure high-order accurate non-oscillatory solutions
- Generated a multi-block, body-fitted grid for the B2 Stealth Bomber and simulated the electromagnetic scattering with Finite-Volume Time-Domain algorithm for the Maxwell's equations
(May 2004 - July 2004)
- Used commercial software to simulate the effusion cooling of an interface element representing the encasing of a gas turbine engine combustion chamber.
(July 2005 - May 2006)
- Numerical Methods for Conservation Laws (Graduate level) - Taught lecture covering finite-volume methods for the ideal magnetohydrodynamics system; Graded assignments, including coding assignments
- Compressible Gasdynamics (Junior Year level) - Graded assignments and mid-term examinations