A Karhunen-Loeve-based approach to numerical simulation of transition in Rayleigh-Benard convection

Date

2003-06-01

Author

Tarman, HI

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A Karhunen-Loeve ( K - L) basis is generated empirically, using a database obtained by numerical integration of Boussinesq equations representing Rayleigh - Benard convection in a weakly turbulent state in a periodic convective box with free upper and lower surfaces. This basis is then used to reduce the governing partial differential equation (PDE) into a truncated system of amplitude equations under Galerkin projection. In the generation and implementation of the basis, the symmetries of the PDE and the geometry are fully exploited. The resulting amplitude equations are integrated numerically and it is shown that, with the use of the K - L basis in the present formulation, the known dynamics of the flow in the transition region is completely captured.

Subject Keywords

Coherent structures, Dynamics, Approximation

URI

https://hdl.handle.net/11511/63843

Journal

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS

DOI

https://doi.org/10.1080/10407790390122186

Collections

Department of Engineering Sciences, Article

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Citation Formats

H. Tarman, “A Karhunen-Loeve-based approach to numerical simulation of transition in Rayleigh-Benard convection,” NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, pp. 567–586, 2003, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63843.