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Smooth interfaces for spectral element method for the solution of incompressible Newtonian fluid flow

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Abstract

A smoothing technique is developed to calculate the interface conditions of spectral element method for solving the incompressible Newtonian fluid flow. The first derivative at the interface of spectral elements is calculated by using only the adjacent subdomains. Numerical simulations of an incompressible laminar fluid flow through a planar channel and a 2:1 planar contraction channel are presented for various Reynolds numbers.

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Authors and Affiliations

  1. Department of Health Sciences, University of Leicester, Leicester, LE1 7RH, England

    Sha Meng

  2. Faculty of Computing Science and Engineering, De Montfort University, Leicester, LE1 9BH, England

    Xin Kai Li

  3. Department of Engineering Science, University of Oxford, Oxford, OX1 3PJ, England

    Ronaldo Mercado

Authors
  1. Sha Meng
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  2. Xin Kai Li
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  3. Ronaldo Mercado
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Correspondence to Ronaldo Mercado.

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Meng, S., Li, X.K. & Mercado, R. Smooth interfaces for spectral element method for the solution of incompressible Newtonian fluid flow. J Supercomput 48, 319–331 (2009). https://doi.org/10.1007/s11227-008-0230-0

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  • DOI: https://doi.org/10.1007/s11227-008-0230-0

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