2025/02/04 by Tino Laidin, Laidin, Tino, Thomas Rey +1 · 1 citation
Mathematics · Engineering · #Gas Dynamics and Kinetic Theory #Mathematical Biology Tumor Growth #Lattice Boltzmann Simulation Studies
paper · pdf · doi:10.48550/arxiv.2502.02704
We present the design of a multiscale parareal method for kinetic equations in the fluid dynamic regime. The goal is to reduce the cost of a fully kinetic simulation using a parallel in time procedure. Using the multiscale property of kinetic models, the cheap, coarse propagator consists in a fluid solver and the fine (expensive) propagation is achieved through a kinetic solver for a collisional Vlasov equation. To validate our approach, we present simulations in the 1D in space, 3D in velocity settings over a wide range of initial data and kinetic regimes, showcasing the accuracy, efficiency, and the speedup capabilities of our method.