Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.
The Numerical Flow Iteration to numerically solve the Vlasov equation
Flux-reconstructed discontinuous Galerkin schemes for Boltzmann equation and related kinetic models
Adiabatic compression simulation.
Mathematical derivation of various physical phenomena
Implementation of several neural network (and neural operator) architectures and numerical methods for solving kinetic equations (Boltzmann, Fokker-Planck-Landau, etc.)
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