Research

Current Focus of Our Research:

  • Machine learning (ML) and artificial intelligence (AI)-empowered surrogate modeling for complex systems
  • Probabilistic reduced order modeling for solid materials and extreme events
  • Quantum algorithms for topology optimization and linear systems
  • Data-driven coarse-grained modeling of soft matter
  • Data-driven non-intrusive reduced order modeling for fluids, fluid-solid interactions, and multiphase flows
  • High-fidelity simulations (enabled by high-order accurate numerical methods) for fluid-solid interactions
  • Multiphysics modeling and simulations in manufacturing, energy storage, and thermal sciences

 

Computational tools developed by our group:

(https://github.com/Pan-Group-UW-Madison)

  • Parallel, scalable code for graph neural network-based modeling of complex fluids  (HIGNN)
  • Codes for (quantum-accelerated) topology optimization with discrete variables
  • Parallel, scalable code for high-fidelity simulations of fluid-solid interactions based on adaptive generalized moving least square (GMLS)