Small-scale structures in Boussinesq convection. (English) Zbl 0822.76087

E, Weinan; Shu, Chi-Wang

Phys. Fluids 6, No. 1, 49-58 (1994).

(From authors’ summary.) Two-dimensional Boussinesq convection is studied numerically using two different methods: a filtered pseudospectral method and a high-order accurate ENO scheme. The issue whether finite time singularity occurs for initially smooth flows is investigated. In contrast to reported earlier finite time collapse of the bubble cap, the present numerical results suggest that the strain rate corresponding to the intensification of the density gradient across the front saturates at the bubble cap. Consequently, the thickness of the bubble decreases exponentially.

Reviewer: H.S.Takhar (Manchester)

MSC:

76R10	Free convection
76E15	Absolute and convective instability and stability in hydrodynamic stability
76M25	Other numerical methods (fluid mechanics) (MSC2010)
76M20	Finite difference methods applied to problems in fluid mechanics

Keywords:

filtered pseudospectral method; high-order accurate ENO scheme; finite time singularity; bubble cap; density gradient

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