[HTML][HTML] A hybrid polynomial chaos expansion–Gaussian process regression method for Bayesian uncertainty quantification and sensitivity analysis

P Manfredi - Computer Methods in Applied Mechanics and …, 2025 - Elsevier
This paper introduces a novel hybrid method for uncertainty quantification (UQ) combining
the benefits of polynomial chaos expansion (PCE) and Gaussian process regression (GPR) …

Simplified unified wave-particle method for diatomic gases based on Rykov model

S Yang, S Liu, J Cao, C Zhong - arxiv preprint arxiv:2409.14146, 2024 - arxiv.org
During the past decades, the numerical methods based on Navier-Stokes (NS) equations
and direct simulation Monte Carlo (DSMC) methods have been proved effective in …

High-order gas-kinetic scheme with TENO class reconstruction for the Euler and Navier-Stokes equations

J Mu, C Zhuo, Q Zhang, S Liu, C Zhong - Computers & Mathematics with …, 2025 - Elsevier
The high-order gas-kinetic scheme (HGKS) with WENO spatial reconstruction method has
been extensively validated through numerous numerical experiments, demonstrating its …

Stephan Simonis, Nicolas Hafen 2, Julius Jeßberger 3, Davide Dapelo 4

G Thäter, MJ Krause - esaim-m2an.org
In this series of studies, we establish homogenized lattice Boltzmann methods (HLBM) for
simulating fluid flow through porous media. Our contributions in part I are twofold. First, we …