4 papers · 1 filter
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…
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 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.…