Research

Here is the short list of research projects in the group

High-order compressible flow solvers.

  • GPU-acceleration, performance improvements.
  • Multiphase flows with level-set interface capturing.
  • Jacobian-free Newton-Krylov Methods
  • Stabilization mechanisms and their performances on GPUs

High-order Boltzmann solvers.

  • Discontinuous Galerkin Lattice Boltzmann Methods.
  • Galerkin Boltzmann Methods for Weakly Compressible Flows.
  • Discontinuous Galerkin Lattice Boltzmann Methods for Multiphase Flows.
  • Discontinuous Galerkin Boltzmann Solvers for Rarefied and High-Mach Flows

High-order incompressible flow solvers.

  • GPU-acceleration, performance improvements.
  • Linear solvers and preconditioners for pressure-Poisson equations on GPUs.
  • Multiphase flows with level-set interface capturing.
  • Algebraic Lagrangian-Eulerian (ALE) and mesh modifications on GPU.
  • Efficient adaptive mesh refinement on GPUs.

Data-Driven Methods for flow problems

  • Physics Informed Neural Networks
  • Reduced Order Modeling (ROM)
  • Aerodynamic shape optimization