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The Application of an Adaptive Wavelet Method to the 3-D Natural-Convection Flow in a Differentially Heated Cavity

[+] Author Affiliations
Damrongsak Wirasaet, Samuel Paolucci

University of Notre Dame

Paper No. IMECE2006-16095, pp. 581-592; 12 pages
doi:10.1115/IMECE2006-16095
From:
  • ASME 2006 International Mechanical Engineering Congress and Exposition
  • Heat Transfer, Volume 3
  • Chicago, Illinois, USA, November 5 – 10, 2006
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 0-7918-4786-1 | eISBN: 0-7918-3790-4
  • Copyright © 2006 by ASME

abstract

In this work, we describe a dynamically adaptive wavelet method for solving the natural-convection flow a differentially heated cavity in three spatial dimensions. The adaptive method takes advantage of an interpolating wavelet for the adaptive approximation in the design of a simple refinement strategy that reflects the local demand of the physical solution. The derivative approximation is computed via consistent finite-difference approximation on an adaptive grid. To demonstrate the versatility of the algorithm, we simulate the 3-D differentially heated cavity with various values of Rayleigh number. The results are compared with those obtained by other computational approaches.

Copyright © 2006 by ASME

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