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