10 papers
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 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…
An Energy-Stable Discontinuous Galerkin Method for the Compressible Navier--Stokes--Allen--Cahn System
Lukas Ostrowski, Christian Rohde
We consider a Navier--Stokes--Allen--Cahn (NSAC) system that governs the compressible motion of a viscous, immiscible two-phase fluid at constant temperature. Weak solutions of the…
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…