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 K_z), 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 = K^3/2l^-1 (mixing length l = α*H_p 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.

• Download PDF (Document is 178 kB)
• PDF documents require a special viewer such as the free Adobe Reader.

Citation Styles

Show: ACP, AGU, AMS, ApJ, JQSRT, Science style

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

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

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

Canuto, V.M., & Dubovikov, M. 1997, Astrophys. J., 484, L161, doi:10.1086/310792.

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

V.M. Canuto, M. Dubovikov, Astrophys. J. 484, L161-L163, doi:10.1086/310792 (1997).