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A Finite-Difference Method with Direct Solvers for Thermally-Driven Cavity Problems

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Numerical Simulation of Oscillatory Convection on Low-Pr Fluids

Summary

In this paper, we present a computational study concerning the problem of buoyancy-driven flows in a shallow cavity with aspect ratio, Ar = 4. We investigate two cases with rigid and free-surface upper boundaries. For each of these cases, the effects of Grashof number is investigated for low Prandtl number fluids, namely Pr = 0 (conduction limit) and Pr = 0.015. The numerical results indicate the onset of oscillatory flow as well as some sudden transitions at higher Grashof numbers.

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References

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© 1990 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Biringen, S., Danabasoglu, G., Eastman, T.K. (1990). A Finite-Difference Method with Direct Solvers for Thermally-Driven Cavity Problems. In: Roux, B. (eds) Numerical Simulation of Oscillatory Convection on Low-Pr Fluids. Notes on Numerical Fluid Mechanics (NNFM), vol 27. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87877-9_6

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  • DOI: https://doi.org/10.1007/978-3-322-87877-9_6

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-528-07628-3

  • Online ISBN: 978-3-322-87877-9

  • eBook Packages: Springer Book Archive

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