Dawid Strzelczyk, Study of fluid transport phenomena using meshless Lattice Boltzmann Method

Fluid dynamics constitutes a crucial branch of physics, providing a framework to study systems and phenomena ranging from the transport of nutrients in living tissues to Earth's climate dynamics and beyond. The numerical solution of the governing equations of fluid flow, e.g., Boltzmann or Navier-Stokes equations, allows one to tackle problems intractable with the analytical approach. In parallel, the need for increasing the resolution of the simulations and the limited computational resources motivate the development of new and improvement of existing numerical methods. In the seminar, I will present the main results of my doctoral research on studying fluid flow with meshless Lattice Boltzmann Method (MLBM). I will introduce MLBM as a numerical method for the solution of the Boltzmann transport equation. I will show several examples of its application to tackling fluid flow problems, e.g. flows through porous media or inertial flows, and discuss the numerical properties of the method. Finally, I will highlight its advantages over the standard LBM formulation and the challenges to be faced in its further development.