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An indicator-based problem reduction scheme for coupled reactive transport models.

Brubeck Lee Freeman1, Peter John Cleall1, Anthony Duncan Jefferson1

  • 1School of Engineering Cardiff University Cardiff UK.

International Journal for Numerical Methods in Engineering
|April 25, 2020
PubMed
Summary

This study introduces a novel problem reduction scheme (PRS) to significantly decrease computational costs for simulating complex chemical transport in porous media. The PRS method achieves substantial CPU time reductions while maintaining high accuracy.

Keywords:
coupled modelsfinite elementproblem size reductionreactive transport

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Area of Science:

  • Environmental Science
  • Computational Chemistry
  • Geochemistry

Background:

  • Simulating chemical transport in porous media is crucial for understanding environmental processes.
  • Existing models face computational challenges with multi-species, long-term, and large-domain reactive transport problems.
  • High computational cost limits the application of detailed models in practical scenarios.

Purpose of the Study:

  • To develop a novel numerical procedure to reduce computational expense in reactive chemical transport simulations.
  • To introduce and validate a problem reduction scheme (PRS) for efficient multi-species transport modeling.
  • To determine the applicability and accuracy of the PRS across different simulation orders.

Main Methods:

  • Development of a problem reduction scheme (PRS) employing a predictor-corrector approach.
  • PRS utilizes indicator species to predict the transport of non-indicator species.
  • Mass balance error is used to correct non-indicator concentrations; experimental validation was performed.

Main Results:

  • The PRS demonstrated significant reductions in computational time, up to 82% for intermediate-sized problems.
  • Accuracy was maintained at high levels comparable to full model predictions.
  • An investigation determined the range of applicability for different orders of the PRS.

Conclusions:

  • The proposed problem reduction scheme (PRS) offers an efficient and accurate alternative for complex chemical transport simulations.
  • PRS effectively addresses the computational limitations of traditional models for multi-species reactive transport.
  • This method enhances the feasibility of simulating large-scale, long-term environmental and geochemical processes.