A Semi-Lagrangian Finite Volume Method for Solving Viscoelastic Flow Problems

  • T. N. Phillips
  • A. J. Williams
Conference paper

Abstract

Recently, there has been considerable interest in solving viscoelastic problems in 3D particularly with the improvement in modern computing power. In many applications the emphasis has been on economical algorithms which can cope with the extra complexity that the third dimension brings. Storage and computer time are of the essence. The advantage of the finite volume formulation is that a large amount of memory space is not required. Iterative methods rather than direct methods can be used to solve the resulting linear systems efficiently.

References

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  3. Scroggs JS and Semazzi FHM (1995) Num. Meth. PDE 11: 445–452.MathSciNetMATHCrossRefGoogle Scholar
  4. Xue SC, Phan-Thien N and Tanner RI, (1995) J. Non-Newtonian Fluid Mech. 59: 191–213.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • T. N. Phillips
    • 1
  • A. J. Williams
    • 1
  1. 1.Department of MathematicsUniversity of WalesAberystwythUK

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