4 papers · 1 filter
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…