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Related Experiment Videos

[A HPF application to parallelize a 2-D PDE model].

Xiómara Contreras1, Emilio Hernández

  • 1Universidad Simón Bolívar. Departamento de Computación y Tecnología de la Información. Caracas, Venezuela. xiomara@ldc.usb.ve

Acta Cientifica Venezolana
|May 27, 2005
PubMed
Summary

This study presents a parallel implementation of a finite difference scheme for wave propagation problems. Using a PC-cluster, the parallel approach significantly reduced computation time, with Myrinet offering better performance than Fast-Ethernet.

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Area of Science:

  • Computational Physics
  • Numerical Analysis
  • Geophysics

Context:

  • Solving the wave propagation problem in elastic media is crucial for many scientific and engineering applications.
  • Practical numerical applications often necessitate parallel implementations for efficient computation.
  • Explicit finite difference schemes are widely used for solving partial differential equations.

Purpose:

  • To implement and evaluate a parallel explicit finite difference scheme for the 2D wave propagation problem.
  • To assess the performance of the parallel implementation on a PC-cluster using varying numbers of processors and network interconnections.
  • To compare the efficiency of Fast-Ethernet and Myrinet interconnections for parallel wave propagation simulations.

Summary:

  • A parallel explicit finite difference scheme, based on Kelly et al.'s work, was implemented using High-Performance-Fortran (HPF) to solve the 2D wave equation in elastic media.

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  • Performance was measured on a PC-cluster with 1, 2, and 4 processors, analyzing execution times for different data grid sizes.
  • Comparative tests evaluated network performance using Fast-Ethernet versus Myrinet interconnections for a 2500x2500 grid.
  • Impact:

    • The parallel implementation demonstrated highly satisfactory execution times, particularly with two processors.
    • Myrinet interconnection showed superior performance compared to Fast-Ethernet under analogous conditions.
    • The numerical results obtained from the scheme were excellent, validating its effectiveness for wave propagation problems.