A Galilei Invariant Version of Yong's Model
Heinrich Freistuhler
TL;DR
This paper introduces a Galilei invariant adaptation of Yong's model for compressible fluids with Maxwell delayed viscosity, analyzing its shock wave behavior and extending the original hyperbolic system to be compatible with Galilean invariance.
Contribution
It presents a Galilei invariant version of Yong's model and discusses its shock wave properties, enhancing the physical consistency of the model.
Findings
The model is Galilei invariant.
Shock wave analysis reveals specific behaviors.
Extension of Yong's model to include Galilei invariance.
Abstract
In a paper in Arch. Rational Mech. 214 (2014), Wen-An Yong has described the dynamics of a compressible fluid with Maxwell delayed viscosity as a symmetric hyperbolic system of balance laws, and shown that the solutions of this system tend to solutions of the Navier-Stokes equations. The purpose of the present note is to present a Galilei invariant version of Yong's model and communicate observations on its shock waves.
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Taxonomy
TopicsNavier-Stokes equation solutions · Computational Fluid Dynamics and Aerodynamics · Fluid Dynamics and Turbulent Flows