Study of an entropy-consistent Navier–Stokes flux
نویسندگان
چکیده
This paper presents a study to achieve discrete entropy consistency using artificial and physical diffusion mechanisms. The study begins with the one-dimensional viscous Burgers equation, specifically looking at the shock results of entropy-conserved fluxes combined with a few choices of artificial and physical viscous diffusions. The approach is then repeated for the Navier–Stokes equations. Overall, it is demonstrated that the artificial viscosity (or entropy) terms are still needed in addition to physical viscosity to achieve entropy consistency in shock predictions, although one of the artificial terms can be dropped for high viscosity or low Reynolds number flow.
منابع مشابه
Entropy Consistent Methods for the Navier-Stokes Equations - A First-Order Systems Approach
The concept of entropy conservation, stability, and consistency is applied to systems of hyperbolic equations to create new flux functions for the scalar and systems of conservation laws. Firstty, Burgers' equation is modelled, followed by the Navier-Stokes equations. The new models are compared with the pre-existing entropy consistent fluxes at selected viscosity levels; it is found that the s...
متن کاملKinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations
Centered numerical fluxes can be constructed for compressible Euler equations which preserve kinetic energy in the semi-discrete finite volume scheme. The essential feature is that the momentum flux should be of the form f m j+ 1 2 = p̃j+ 1 2 +uj+ 1 2 f ρ j+ 2 where uj+ 2 = (uj+uj+1)/2 and p̃j+ 1 2 , f ρ j+ 1 2 are any consistent approximations to the pressure and the mass flux. This scheme thus ...
متن کاملPU BL IC Stability result for Navier - Stokes equations with entropy transport MartinMichálek Preprint
A stability result for the compressible Navier-Stokes system with transport equation for entropy s is shown. The proof comes as an outcome of the isentropic case and additional properties of the effective viscous flux. We deal with the pressure term in the form ρ γ e s with adiabatic index γ > 3/2; therefore the crucial renormalization method is restricted.
متن کاملInvestigation of Entropy Generation in Stagnation Point Flow of Nano Fluid Impinging on the Cylinder with Constant Wall Heat Flux
: In this research, dimensionless temperature and entropy generation for the steady state flow in the stagnation point of incompressible nanofluid impinging on an infinite cylinder have been investigated. The impinging free stream is steady with a constant strain rate k. Similarity solution of the Navier-Stokes equations and energy equation is derived in this problem. A reduction of these equa...
متن کاملDiscontinuous Galerkin method for Navier-Stokes equations using kinetic flux vector splitting
Kinetic schemes for compressible flow of gases are constructed by exploiting the connection between Boltzmann equation and the Navier-Stokes equations. This connection allows us to construct a flux splitting for the NavierStokes equations based on the direction of molecular motion from which a numerical flux can be obtained. The naive use of such a numerical flux function in a discontinuous Gal...
متن کامل