9 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…
Justification of a Relaxation Approximation for the Navier-Stokes-Cahn-Hilliard System
Jan Giesselmann, Jens Keim, Fabio Leotta +1
The Navier-Stokes-Cahn-Hilliard (NSCH) system governs the diffuse-interface dynamics of two incompressible and immiscible fluids. We consider a relaxation approximation of the NSCH…
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…
A generalized Riemann problem solver for a hyperbolic model of two-layer thin film flow
Rahul Barthwal, Christian Rohde, Yue Wang
In this paper, a second-order generalized Riemann problem (GRP) solver is developed for a two-layer thin film model. Extending the first-order Godunov approach, the solver is used…
A hyperbolic model for two-layer thin film flow with a perfectly soluble anti-surfactant
Rahul Barthwal, Christian Rohde
We consider the motion of a two-layer thin film that consists of two immiscible viscous fluids and is endowed with an anti-surfactant solute. The presence of such solute particles…
A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow
Jens Keim, Hasel-Cicek Konan, Christian Rohde
We consider the two-phase dynamics of two incompressible and immiscible fluids. As a mathematical model we rely on the Navier-Stokes-Cahn-Hilliard system that belongs to the class…
A hyperbolic relaxation system of the incompressible Navier-Stokes equations with artificial compressibility
Qian Huang, Christian Rohde, Wen-An Yong +1
We introduce a new hyperbolic approximation to the incompressible Navier-Stokes equations by incorporating a first-order relaxation and using the artificial compressibility method.…