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Parallel computation of natural convection in trapezoidal porous enclosures

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  • Rathish Kumar, B.V.
  • Kumar, Bipin

Abstract

In this study, coupled non-linear partial differential equations governing the natural convection from an isothermal wall of a trapezoidal porous enclosure have been solved numerically by finite element method (FEM) in conjunction with GMRES, a Krylov subspace based solver. In view of the enormous amount of computation, a parallel numerical algorithm for incomplete LU-conjugate gradient (ILU-CG) solver on eight-noded ANUPAM cluster under MIMD paradigm based on ANULIB message passing library has been developed. Parallel computations have been carried out for various values of flow and geometric parameters both under Darcian and non-Darcian assumptions on the porous model. Cumulative heat fluxes and Nusselt number (Nu) associated with convection process are presented through computer generated plots.

Suggested Citation

  • Rathish Kumar, B.V. & Kumar, Bipin, 2004. "Parallel computation of natural convection in trapezoidal porous enclosures," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 65(3), pages 221-229.
    • Handle: RePEc:eee:matcom:v:65:y:2004:i:3:p:221-229
    DOI: 10.1016/j.matcom.2003.12.001
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    Cited by:

    1. Anandalakshmi, R. & Kaluri, Ram Satish & Basak, Tanmay, 2011. "Heatline based thermal management for natural convection within right-angled porous triangular enclosures with various thermal conditions of walls," Energy, Elsevier, vol. 36(8), pages 4879-4896.
    2. Cornelia Revnic & Mohammad Ghalambaz & Teodor Groşan & Mikhail Sheremet & Ioan Pop, 2019. "Impacts of Non-Uniform Border Temperature Variations on Time-Dependent Nanofluid Free Convection within a Trapezium: Buongiorno’s Nanofluid Model," Energies, MDPI, vol. 12(8), pages 1-14, April.

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