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Solution-Domain-Decomposition Method for Heat Transfer Problem Using Parallel Distributed Computing

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Abstract

Solution-domain-decomposition (SDD) method is formulated for solving heat transfer problem and generalized for solving multi-domain problem. A generalized algorithm is suggested for parallel and distributing computation. Chebyshev expansion on the dependent variables is used for pseudospectral approximation of the governing equation in this study. Linear superposition principle is adapted to incorporate the interactions between the subdomains. By effective subdivision of computational domain, significant computational efficiency and computational memory savings are accomplished without losing spectral accuracy of the solution. Owing to independent characteristics of the subdomains. the scheme is well suited for multi-processor machines. Convergence study reveals that spectra! accuracy is still conserved for the multi-domain calculation. The calculation domain is divided up to 8 subdomains and calculation is distributed up to independent CPUs. Significant speed-up ratio is obtained by distributing the subtasks through the network.

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Authors and Affiliations

  1. Department of Mathematics, Chungnam National University, Taejon, 305-764, Korea

    Seyoung Oh

  2. Idaho National Engineering Laboratory, Lockheed Martin Idaho Technology, Idaho Falls, Idaho, 83415-3880

    Seungho Paik & Hoa D. Nguyen

Authors
  1. Seyoung Oh
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  2. Seungho Paik
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  3. Hoa D. Nguyen
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Oh, S., Paik, S. & Nguyen, H.D. Solution-Domain-Decomposition Method for Heat Transfer Problem Using Parallel Distributed Computing. Journal of Scientific Computing 12, 187–204 (1997). https://doi.org/10.1023/A:1025673816285

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  • DOI: https://doi.org/10.1023/A:1025673816285

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