My recent research interests are in the areas of developing high-order accurate numerical schemes for solving
partial differential equations, specially for equations related to convection dominated
flow phenomena (e.g. Euler equations,
Navier-Stokes equations, MHD equations), scientific computing, and mathematical modeling.
I am currently working on:
- developing discontinuous Galerkin finite element methods, finite volume methods for solving PDEs, and PDEs on manifold.
- methods for solving fluid-structure interaction problems
- mathematical and computational modeling, e.g. blood thrombus (clot) formation in the blood vessel,
blood cell dynamics, bio-gel, and bacterial swarming.
- phase field modeling multiphase fluid flow.
- Clot (geomview files)