The Numerical Solution of the Unsteady Natural Convection Flow in a Square Cavity at High Rayleigh Number Using SADI Method

Wang Pu; R. Kahawita

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Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(3): 215-224

Wang Pu, R. Kahawita. The Numerical Solution of the Unsteady Natural Convection Flow in a Square Cavity at High Rayleigh Number Using SADI Method[J]. Applied Mathematics and Mechanics, 1987, 8(3): 215-224.

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The Numerical Solution of the Unsteady Natural Convection Flow in a Square Cavity at High Rayleigh Number Using SADI Method

Wang Pu¹,
R. Kahawita²

1.
Lanzhou University, Lanzhou;
2.
Ecole Polytechnique de Montreal, Canada

Received Date: 1986-02-20
Publish Date: 1987-03-15

Abstract

Abstract

The unsteady natural convection flow in a square cavity at high Rayleigh number Ra=10⁷ and 2×10⁷ has been computed using cubic spline integration. The required solutions to thetwo dimensional Navier-Stokes and energy equations have been obtained using two alternate numerical formulations on non-uniform grids. The main features of the transient flow have been briefly discussed. The results obtained by using the present method are in good agreement-with the theoretical predictions^[1,2]. The steady state results have been compared with accurate solutions presented recently for Ra=10⁷.

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References(13)

References

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