Consistent approximation of the viscous terms for subsonic flows

Details Consistent approximation of the viscous terms for subsonic flows Consistent approximation of the viscous terms for subsonic flows

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986a%26a...168..380l&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 168, no. 1-2, Nov. 1986, p. 380-383.

Physics

Anelasticity, Convection, Prandtl Number, Rayleigh Number, Stellar Physics, Subsonic Flow, Viscosity, Boundary Layers, Kolmogoroff Theory, Navier-Stokes Equation

Scientific paper

In the framework of the anelastic approximation of convection, it is found that simplified viscous terms are sufficient in order to model flows at high Rayleigh numbers and low Prandtl numbers. An energetically consistent approximation is made, with the viscous flux dissipation and forces being modified at the same time. The method makes use of the fact that in a stellar convection zone the ratio of the Kolmogoroff dissipation scale to the density scale height is small, and it reduces the total computation work by at least 25 percent. The modified viscous terms are tested on a linear problem and single-mode equations.

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