TY - CONF

T1 - A first-order hyperbolic system of governing equations for miscible and viscous compressible fluids

AU - Groom, M.

AU - Thornber, B.

AU - Romenski, E.

N1 - Publisher Copyright: © ICCFD 2018.

PY - 2018

Y1 - 2018

N2 - In this paper we introduce a reformulation of the compressible multicomponent Navier-Stokes equations that govern the behaviour of mixtures of miscible gases. The resulting equation set is a first-order hyperbolic system containing stiff source terms, which recovers the conventional parabolic theory of viscosity, conduction and diffusion as a first-order approximation in the relaxation limit. An important advantage of this approach versus other first-order reformulations of the Navier-Stokes equations is that the wave speeds remain finite as some relaxation parameter tends to zero. The complete system of equations is presented in one-dimension for binary mixtures of viscous, heat conducting gases.

AB - In this paper we introduce a reformulation of the compressible multicomponent Navier-Stokes equations that govern the behaviour of mixtures of miscible gases. The resulting equation set is a first-order hyperbolic system containing stiff source terms, which recovers the conventional parabolic theory of viscosity, conduction and diffusion as a first-order approximation in the relaxation limit. An important advantage of this approach versus other first-order reformulations of the Navier-Stokes equations is that the wave speeds remain finite as some relaxation parameter tends to zero. The complete system of equations is presented in one-dimension for binary mixtures of viscous, heat conducting gases.

KW - Diffuse Interface

KW - Governing Equations

KW - Multispecies

UR - http://www.scopus.com/inward/record.url?scp=85090827269&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:85090827269

T2 - 10th International Conference on Computational Fluid Dynamics, ICCFD 2018

Y2 - 9 July 2018 through 13 July 2018

ER -