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Data-driven Physical modeling - Inverse problem, Adjoint based optimization, Machine Learning; Automatic differentiation -
Applications - Turbulence modeling, Spalart Allamaras, \(k-\omega\), \(stress-\omega\), high Reynolds number external and internal flows; Ideal Magnetohydrodynamics -
Numerical methods for PDEs - Finite difference, Finite volume, Stabilized finite element; High order reconstructions -
High Performance Computing - Programming for FPGAs, Xeon Phi, GPUs; MPI, OpenMP, Cuda, OpenCL, Chapel