Physics-Informed Neural Networks for Boltzmann-BGK Equations with Absorbing Boundary Layers


Aygün A., Karakuş A.

SIAM Conference on Computational Science and Engineering 2023, Amsterdam, Netherlands, 27 February - 03 March 2023, (Unpublished)

  • Publication Type: Conference Paper / Unpublished
  • City: Amsterdam
  • Country: Netherlands
  • Middle East Technical University Affiliated: Yes

Abstract

We introduce the application of physics-informed neural networks (PINN) for Boltzmann-BGK equations for nearly incompressible flows. The governing equations are discretized in the velocity space using Hermite polynomials, resulting in a first-order conservation law. A perfectly matching layer (PML) surrounding the computational domain is used to dampen the waves leaving the domain. A multi-domain approach is used with PINN to ensure the continuity of the solution. The damping profile of the PML is an output of the PINN offering a suitable constant for absorbing the waves.