2024/08/25 - New paper on UQ and LBM published in Journal of Computational Physics

Sun, 14 Dec 2025 13:23:34 +0100
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For the first time, we combined the lattice Boltzmann method (LBM) with the stochastic Galerkin (SG) method. The article is published open access in the Journal of Computational Physics and is freely available at https://doi.org/10.1016/j.jcp.2024.113344 . SG LBM extends LBM into the field of uncertainty quantification. As a proof of concept, we implemented parts of the approach in OpenLB and validated it using classical fluid dynamics benchmark tests with multidimensional uncertainty. In our numerical experiments, we achieved a speedup factor of 5.72 compared to Monte Carlo sampling, which demonstrates the high efficiency of SG LBM.