Prof. Martin Geier, IRMB, TU Braunschweig

Title:
Aero-acoustical simulations with the lattice Boltzmann method

Abstract:

The lattice Boltzmann method for fluid mechanics has recently been improved concerning stability and accuracy by the application of a cumulant transform [1], by the use of quadric relaxation rates [2][3] and fourth order accurate advection [4]. At the same time, the method retains its geometrical flexibility, enabling us to simulate turbulent flow over and in fully resolved porous media [5]. Porous media is expected to play a key role in the reduction of airfoil noise in future commercial aircraft. The cumulant lattice Boltzmann method enables us to simulate the flow around the airfoil with porous edge and its acoustics together. In order to demonstrate the acoustic abilities of the lattice Boltzmann method we also present an auralization of an organ pipe simulation.

[1] Geier, Martin, et al. “The cumulant lattice Boltzmann equation in three dimensions: Theory and validation.” Computers & Mathematics with Applications 70.4 (2015): 507-547.
[2] Geier, Martin, Andrea Pasquali, and Martin Schönherr. “Parametrization of the cumulant lattice Boltzmann method for fourth order accurate diffusion part I: Derivation and validation.” Journal of Computational Physics 348 (2017): 862-888.
[3] Geier, Martin, Andrea Pasquali, and Martin Schönherr. “Parametrization of the cumulant lattice Boltzmann method for fourth order accurate diffusion Part II: Application to flow around a sphere at drag crisis.” Journal of Computational Physics 348 (2017): 889-898.
[4] Geier, Martin, and Andrea Pasquali. “Fourth order Galilean invariance for the lattice Boltzmann method.” Computers & Fluids 166 (2018): 139-151.
[5] Kutscher, Konstantin, Martin Geier, and Manfred Krafczyk. “Multiscale simulation of turbulent flow interacting with porous media based on a massively parallel implementation of the cumulant lattice Boltzmann method.” Computers & Fluids (2018).