Locating parallel numerical tasks in the solution of viscous fluid flow

  • Garry Rodrigue
  • A. Louise Perkins
Part IV - Algorithms And Applications
Part of the Lecture Notes in Computer Science book series (LNCS, volume 295)


We present a method to solve the heat equation that couples mesh refinement with explicit time steps greater than the Courant condition limit. The method is implemented in parallel and executes efficiently.


Heat Equation Coarse Grid Coarse Mesh Mesh Refinement Logical Tree 
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6. References

  1. [1]
    Berger, Marsha J. and Oliger, Joseph, Adaptive Mesh Refinement For Hyperbolic Partial Differential Equations, Journal of Computational PHysics 53, 484–512 (1984).Google Scholar
  2. [2]
    Bolstad, John H., An Adaptive Finite Difference Method for Hyperbolic Systems in one space dimension, Lawrence Berkeley Lab LBL-13287-rev., (1982).Google Scholar
  3. [3]
    Rodrigue, G., Kang, L., Lin, G., and Wu, Z., The Generalized Schwarz Alternating Principle, to be published.Google Scholar
  4. [4]
    Rodrigue, G., Inner/Outer Iterations and Numerical Schwarz Algorithms, Journal of Parallel Computing Vol. 2, pp 205–218, (1985).Google Scholar
  5. [5]
    Rodrigue, G., An Implicit Numerical Solution of the Two-Dimensional Diffusion Equation and Vectorization Experiments, Parallel Computatins, Academic Press, 101–128, (1982).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Garry Rodrigue
    • 1
  • A. Louise Perkins
    • 2
  1. 1.Lawrence Livermore National LaboratoryUniversity of CaliforniaDavis
  2. 2.University of CaliforniaDavis

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