Publication Abstracts

Cabot et al. 1990

Cabot, W., O. Hubickyj, J.B. Pollack, P. Cassen, and V.M. Canuto, 1990: Direct numerical simulations of turbulent convection: I. Variable gravity and uniform rotation. Geophys. Astrophys. Fluid Dyn., 53, 1-42.

Turbulent convection may have played a major role in determining the structure and evolution of the primordial solar nebula, but current, incomplete models of convection and turbulence give very different results and remain largely untested in the absence of detailed astronomical observations. Numerical simulations provide an "experimental" database for comparison with these models, and, to this end, direct numerical simulations of turbulent convection were performed with modifications intended to mimic some of the unique physical features of thin accretion disks, such as the primordial solar nebula: internal heating, a gravitational acceleration that is linearly proportional to the distance from midplane of the nebula, and rapid rotation. Peclet numbers in the simulations are comparable to those in solar nebula models; Rossby numbers in the simulations are comparable to those in solar nebula models because of the unrealistically high Prandtl and low Reynolds numbers required to resolve all scales of the convective flows.

We find that, despite the loss of buoyancy at midplane, turbulent motions easily penetrate the midplane region with little loss of intensity, providing efficient transport of heat and turbulent kinetic energy throughout the interior. A simple mixing length model modified to include rotation is found to give convective heat fluxes for the interior flow in rough agreement with the numerical simulations. We discuss these preliminary results with regard to assumptions about heating distributions and convective heat fluxes made in standard solar nebula models. More definitive comparisons with solar nebula modelling will become possible when more realistic effects of shear, density stratification, and compression are included.

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BibTeX Citation

@article{ca09700z,
  author={Cabot, W. and Hubickyj, O. and Pollack, J. B. and Cassen, P. and Canuto, V. M.},
  title={Direct numerical simulations of turbulent convection: I. Variable gravity and uniform rotation},
  year={1990},
  journal={Geophys. Astrophys. Fluid Dyn.},
  volume={53},
  pages={1--42},
}

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RIS Citation

TY  - JOUR
ID  - ca09700z
AU  - Cabot, W.
AU  - Hubickyj, O.
AU  - Pollack, J. B.
AU  - Cassen, P.
AU  - Canuto, V. M.
PY  - 1990
TI  - Direct numerical simulations of turbulent convection: I. Variable gravity and uniform rotation
JA  - Geophys. Astrophys. Fluid Dyn.
VL  - 53
SP  - 1
EP  - 42
ER  -

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