TVD-interpolating matrix method prediction of flow with heat transfer

  • Authors:

  • L. Hanich;M. Louaked

  • Affiliations:

  • Applied Mathematics and Computing Group, School of Engineering, Cranfield University, UK;Dept. de Mathématiques et Mécanique, Université de Caen, Campus II Bd. Maréchal Juin, Bât. Sciences, B P 5186, Caen Cedex 14032, France

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2004

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Abstract

The use of the Interpolating Matrix Method to investigate the dynamical behaviour of natural convection flow will form the main focus of the work. We design an original and efficient numerical algorithm that mimic TVD constraints to rule out spurious overshoots and oscillations that appear near steep gradients, to solve fluid flow and heat transfer equations, and compare the results to some Benchmark numerical solutions.