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math.AP2024
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…
math.AP2024
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.…