5 papers
A data-driven approach for 2D vorticity PDF equations by a new conditional average estimation
Qian Huang, Simon Görtz, Paul Hollmann +3
We consider the statistics for the vorticity field in two-dimensional homogeneous isotropic turbulence (HIT). First, we exploit the invariance properties to derive dimensionally re…
Convergence of a two-parameter hyperbolic relaxation system toward the incompressible Navier-Stokes equations
Qian Huang, Christian Rohde, Ruixi Zhang
We investigate a two-parameter hyperbolic relaxation approximation to the incompressible Navier-Stokes equations, incorporating a first-order relaxation and the artificial compress…
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…
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…
Statistical conservation laws for scalar model problems: Hierarchical evolution equations
Qian Huang, Christian Rohde
The probability density functions (PDFs) for the solution of the incompressible Navier-Stokes equation can be represented by a hierarchy of linear equations. This article develops…