Postdoc ELEQTRONeX A GPU-Accelerated Self-Consistent Quantum Transport Framework for Modeling Nanomaterials Transmission Line analysis Characterization of transmission lines in microelectronic circuits using a Maxwell solver Ph.D. Adaptive Mesh Refinement Adaptive mesh refinement (AMR) strategy with octree grids for the Direct Simulation Monte Carlo (DSMC) method to solve Boltzmann equation of transport Laminar Separation Bubble Instability Linear Instability of a 3-D Laminar Separation Bubble in Hypersonic (Mach 7) Shock-Wave/Boundary-Layer Interations (SWBLIs) Fluctuations in a 1D-shock Low-frequency fluctuations in the internal structure of 1D shock arising from bimodality of energy density functions Thermal Protection System modeling Multi-scale thermal response modeling of AVCOAT-like thermal protection material small side projects Projection Solver A C++ solver to calculate projection of 3D STL geometries on a user-defined plane Modal Analysis in Parallel A parallel solver using C++ and LAPACK for proper orthogonal and dynamic mode decomposition using communication reducing tall and skinny QR (TSQR) factorization algorithm Particle-Gas Interactions using FLASH Validation of particle module in the FLASH solver.