2025/09/05 by Hoefnagel, Kaj, Casalino, Damiano, Hulshoff, Steven +1
#Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn)
paper · doi:10.48550/arxiv.2509.05035
A new volumetric-type boundary treatment is introduced for the lattice Boltzmann method. Populations are projected onto a discontinuous piecewise linear basis and streamed using an exact geometrical mapping. The method is implemented in 2D for convex, stationary geometries. Stability is verified through a novel analysis tool based on the eigenvalues of the streaming operation. A convergence rate of ≥2 is achieved, indicating improved accuracy over precursor methods. For flow around a 2D airfoil, the method yields better lift and drag predictions.