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Parallel Computations of Natural Convection Flow in a Tall Cavity Using an Explicit Finite Element Method

Conference ·
DOI:https://doi.org/10.1002/fld.393· OSTI ID:791136
 [1];
  1. LLNL
+ Show Author Affiliations
The Galerkin Finite Element Method was used to predict a natural convection flow in an enclosed cavity. The problem considered was a differentially heated, tall (8:1), rectangular cavity with a Rayleigh number of 3.4 x 10{sup 5} and Prandtl number of 0.71. The incompressible Navier-Stokes equations were solved using a Boussinesq approximation for the buoyancy force. The algorithm was developed for efficient use on massively parallel computer systems. Emphasis was on time-accurate simulations. It was found that the average temperature and velocity values can be captured with a relatively coarse grid, while the oscillation amplitude and period appear to be grid sensitive and require a refined computation.
Research Organization:
Lawrence Livermore National Lab., CA (US)
Sponsoring Organization:
USDOE Office of Defense Programs (DP) (US)
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
791136
Report Number(s):
UCRL-JC-141027
Country of Publication:
United States
Language:
English

References (3)

A modified finite element method for solving the time-dependent, incompressible Navier-Stokes equations. Part 1: Theory journal June 1984
Recent developments in large-scale finite element lagrangian hydrocode technology journal September 1982
Computational predictability of time-dependent natural convection flows in enclosures (including a benchmark solution)
  • Christon, Mark A.; Gresho, Philip M.; Sutton, Steven B.
  • International Journal for Numerical Methods in Fluids, Vol. 40, Issue 8 https://doi.org/10.1002/fld.395
journal January 2002

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Related Subjects

42 ENGINEERING
ALGORITHMS
AMPLITUDES
COMPUTERS
FINITE ELEMENT METHOD
NATURAL CONVECTION
NAVIER-STOKES EQUATIONS
OSCILLATIONS
PRANDTL NUMBER
VELOCITY