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A parallel PCG solver for MODFLOW.

Yanhui Dong1, Guomin Li

  • 1Key Laboratory of Engineering Geomechanics, Institute of Geology and Geophysics, Chinese Academy of Sciences, P. O. BOX 9825 Beijing, 100029 China.

Ground Water
|July 1, 2009
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Summary

This study parallelized the MODFLOW preconditioned conjugate-gradient (PCG) solver using OpenMP for efficient large-scale groundwater flow simulations. The parallel solver achieved 1.40-5.31x speedup with identical results, simplifying maintenance.

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Area of Science:

  • Hydrogeology and Computational Modeling
  • Parallel Computing and Scientific Software

Background:

  • Large-scale groundwater flow simulations using MODFLOW can be computationally intensive.
  • The preconditioned conjugate-gradient (PCG) solver is a critical component for solving these problems.
  • Efficient parallelization is key to reducing simulation runtimes on modern multi-core processors.

Purpose of the Study:

  • To enhance the efficiency of MODFLOW's PCG solver through parallelization.
  • To adapt the solver for large-scale groundwater flow problems using shared-memory computing.
  • To verify the performance and accuracy of the parallelized solver.

Main Methods:

  • Implemented incremental parallelization of the PCG solver using the OpenMP programming paradigm.
  • Utilized a shared-memory computer with an 8-processor configuration for verification.
  • Conducted numerical experiments considering compiler impacts and various model domain sizes.

Main Results:

  • The parallel PCG solver demonstrated execution times 1.40 to 5.31 times faster than the serial version.
  • Simulation results from the parallel solver were identical to the original serial solver.
  • The parallelization approach was compatible with both MODFLOW-2000 and MODFLOW-2005.

Conclusions:

  • OpenMP-based incremental parallelization significantly improves MODFLOW's PCG solver efficiency for large-scale groundwater simulations.
  • The parallel solver maintains accuracy while reducing computational time.
  • This approach simplifies software maintenance by requiring a single, unified PCG solver code.