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math.NA2025
Provably realizability-preserving finite volume method for quadrature-based moment models of kinetic equations
Chuan Fan, Qian Huang, Kailiang Wu
Quadrature-based moment methods (QBMM) provide tractable closures for multiscale kinetic equations, with diverse applications across aerosols, sprays, and particulate flows, etc. H…
math.NA2025
Numerical approximations to statistical conservation laws for scalar hyperbolic equations
Qian Huang, Christian Rohde
Motivated by the statistical description of turbulence, we study statistical conservation laws in the form of kinetic-type PDEs for joint probability density functions (PDFs) and c…