Abstract
The three-dimensional, incompressible Navier-Stokes and energy equations with the Bousinesq assumption have been directly simulated at a Rayleigh number of 3.8 x 10 to the 5th power and a Prandtl number of 0.76. In the vertical direction, wall boundaries were used and in the horizontal, periodic boundary conditions were used. A spectral/finite difference numerical method was used to simulate the flow. The flow at these conditions is turbulent and a sufficiently fine mesh was used to capture all relevant flow scales. The results of the simulation are compared to experimental data to justify the conclusion that the small scale motion is adequately resolved.
Keywords
Prandtl numberTurbulenceMechanicsCompressibilityFinite difference methodFinite differenceSpectral methodRayleigh scatteringFlow (mathematics)Boussinesq approximation (buoyancy)Navier–Stokes equationsMathematicsPhysicsBoundary value problemClassical mechanicsMathematical analysisRayleigh numberConvectionNatural convectionOptics
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Publication Info
- Year
- 1986
- Type
- book-chapter
- Pages
- 188-209
- Citations
- 7
- Access
- Closed
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Cite This
T. M. Eidson,
M. Yousuff Hussaini,
T. A. Zang
(1986).
Simulation of the Turbulent Rayleigh-Benard Problem Using a Spectral/Finite Difference Technique.
, 188-209.
https://doi.org/10.1007/978-3-663-00197-3_13
Identifiers
- DOI
- 10.1007/978-3-663-00197-3_13