Publication Abstracts

Canuto and Dubovikov 1997

Canuto, V.M., and M. Dubovikov, 1997: Overshooting: Mixing length yields divergent results. Astrophys. J., 484, L161-L163, doi:10.1086/310792.

Overshooting (OV) is the signatire of the nonlocal nature of convection. To describe the latter, one needs five nonlocal, coupled differential equations to describe turbulent kinetic energies (total K and in the z-direction Kz), potential energy, convective flux, and rate of dissipation ε. We show analytically that if ε is assumed to be given by the local expression, ε = K3/2l-1 (mixing length l = α*Hp or l = z/a), since the region is small in extent), the remaining differential equations exhibit singularities (divergence) for specific values of a within the range of values usually employed. No solution can be found. Thus, OV results from such an approach are quite accidental, as they stem from an arbitrary fine tuning of a.

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BibTeX Citation

@article{ca08100v,
  author={Canuto, V. M. and Dubovikov, M.},
  title={Overshooting: Mixing length yields divergent results},
  year={1997},
  journal={Astrophys. J.},
  volume={484},
  pages={L161--L163},
  doi={10.1086/310792},
}

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RIS Citation

TY  - JOUR
ID  - ca08100v
AU  - Canuto, V. M.
AU  - Dubovikov, M.
PY  - 1997
TI  - Overshooting: Mixing length yields divergent results
JA  - Astrophys. J.
VL  - 484
SP  - L161
EP  - L163
DO  - 10.1086/310792
ER  -

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