Research Interests: Computational biofluid dynamics and high performance computing, red blood cell resolved simulations, angiogenic microvascular network flows and microvascular sprouts, microcirculatory transport of circulating cells (e.g. cancer cells, leukocytes), coupled blood and lymphatic circulation modeling, numerical methods for flows involving complex interfaces (e.g. deformable, moving).
Develop innovative analytical methods using Operations Research and Economic methodologies to enhance the operational efficiencies in various systems, such as the management of invasive species, energy systems, and digital services.
Modeling of energy storage systems such as rechargeable batteries, Mechanics and electronics of nanomaterials (e.g., graphene) and other two-dimensional materials such as Transition Metal Dichalcogenides (TMDs), Modeling of imperfections in crystalline materials, and nanomaterials for biological problems
Leveraging machine learning and computational mechanics to address the escalating demand for mechanically resilient and socially responsible materials and structures in aerospace and energy applications.
Research Interests: Spectral element methods for geophysical computational fluid dynamics and high performance computing. Atmospheric and ocean modeling by high-order numerical methods.
Analysis of natural hazards: tropical cyclones and tsunamis. Coastal resilience. Quantum computing/algorithms.
Optimization and machine-learning algorithms for complex and large scale problems, spanning areas such as the electric power systems, transportation systems, healthcare systems, supply chains. Projects include fault detection in power systems using measurements, multi pickup & delivery problem, demand response with price incentives, dynamic power grid using swarm robotics, renewable energy integration, energy efficient treatment of fruit juice using high pressure processing.
Continuum mechanics and constitutive modeling. Modeling of non-linear phenomena observed in mechanics with an emphasis on applications in polymers, biomechanics, manufacturing processes and other novel materials. Specific areas of research are: Shape Memory Polymers, Multi-Physics Polymer Systems, High Temperature Materials, Growth in Biological Tissues, Non-Newonian Fluids.
Mechanics and behavior of granular flows and materials, discrete element simulations, discrete dynamics, Monte Carlo methods, application of dynamical systems to granular flows, machine learning approaches in granular flows.
Computational fluid dynamics, multi-phase and particulate flows and their control through the application of electric and magnetic fields, stability of Newtonian and viscoelastic flows, free boundary problems