Korea-Australia Rheology Journal

The Korean Society of Rheology (한국유변학회)
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Vector decomposition of the evolution equations of the conformation tensor of Maxwellian fluids

  • Cho, Kwang-Soo (Department of Polymer Science and Engineering, Kyungpook National University)
  • Received : 2009.02.18
  • Accepted : 2009.05.01
  • Published : 2009.06.30
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Abstract

Breakthrough of high Weisenberg number problem is related with keeping the positive definiteness of the conformation tensor in numerical procedures. In this paper, we suggest a simple method to preserve the positive definiteness by use of vector decomposition of the conformation tensor which does not require eigenvalue problem. We also derive the constitutive equation of tensor-logarithmic transform in simpler way than that of Fattal and Kupferman and discuss the comparison between the vector decomposition and tensor-logarithmic transformation.

Keywords

References

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