Debojyoti Ghosh

I am a computational scientist in the Scientific Computing Group at the Center for Applied Scientific Computing (CASC). Prior to this, I was a postdoctoral research staff member at CASC and a post-doctoral appointee at the Mathematics & Computer Science Division, Argonne National Laboratory.

Numerical methods for hyperbolic conservation laws

High-resolution finite-difference and finite-volume methods

Non-linear, non-oscillatory compact finite-difference and finite-volume schemes

Multi-stage implicit and implicit-explicit (IMEX) time-integration methods

Scalable implementations of high-order numerical methods on massively-parallel platforms

Application areas: Compressible and incompressible fluid dynamics, atmospheric flows, fusion plasma dynamics

Development of a multifluid flow solver for interpenetrating plasmas (with applications to inertial confinement fusion)
High-order numerical methods for tokamak edge and other magnetically confined plasma simulations.

(For more details, see some of my recent publications and presentations)

Implementation of multi-stage implicit, explicit and implicit-explicit (IMEX) ODE solvers in PETSc (Scalable Implicit-Explicit (IMEX) Algorithms and Software for Time-Dependent Multimodel PDEs)
Application of high-order time-integrators in PETSc to computational physics codes - eg. weather modeling through NUMA, incompressible Navier-Stokes flow solver (IBCartINS3D), etc. (Efficient High-Order Time-Integrators for Local High-Order Discretization Methods)
Well-balanced, high-resolution finite-difference methods for atmospheric flows
Optimized multi-stage time-integrators for nonlinear WENO and CRWENO schemes
Scalable implementation of non-linear compact finite-difference schemes, especially the CRWENO schemes
Derivation, analysis and basic implementation of the CRWENO schemes (Adviser: Dr. James Baeder)
Development of a 3D incompressible Navier-Stokes solver with immersed boundaries to study high Reynold's number vortex-dominated flows (IBCartINS3D) (Adviser: Dr. James Baeder)
High-order ENO/WENO schemes applied to 1D and 2D ideal magnetohydrodynamics and an analysis of the numerical method (Adviser: Dr. Avijit Chatterjee)
Finite-volume time-domain algorithm to solve the Maxwell's equations of electromagnetics and predict electromagnetic scattering (radar cross-section) of low-observable ("stealthy") aircraft configurations (This presentation by Dr. Avijit Chatterjee, my former adviser, describes some of this work)