RESEARCH PAPERS: Papers From Symposium on Numerical/Diagonal/Laboratory Computer Methods in Fluid Mechanics

Numerical Simulation of Natural Convection in Closed Containers by a Fully Implicit Method

[+] Author and Article Information
D. W. Pepper, S. D. Harris

Savannah River Laboratory, Aiken, S.C.

J. Fluids Eng 99(4), 649-656 (Dec 01, 1977) (8 pages) doi:10.1115/1.3448876 History: Received September 12, 1977; Online October 12, 2010


Numerical solutions have been obtained for two-dimensional free convective flow in rectangular and annular cavities by the strongly implicit procedure (SIP) and the cyclic reduction-fast Fourier transform (CR-FFT) technique. Rayleigh numbers range from 104 to 106 , Prandtl numbers from 0.713 to 103 , radius ratios from 1 to 3 (annular cavities), and aspect ratios (height/width) from 1 to 15. Motion is generated by either uniformly heating the bottom wall or heating a vertical wall and cooling the opposite wall. Both time-dependent and steady-state solutions confirm results previously obtained by others. Because SIP uses a common set of matrix algorithms, the governing equations of motion can be solved simultaneously without major modification to the method for each equation.

Copyright © 1977 by ASME
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