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A matrix solver approach for fracture flow simulation by Analytic Element Method

Author

Listed:
  • Hussain, Sardar Muhammad
  • Cuminato, José Alberto
  • Marin, Ivan Silvestre Paganini
  • Wendland, Edson Cezar

Abstract

The manuscript presents a study on 2D groundwater flow through porous and fractured media employing Analytic Element Method. The approximate solution based on a series expansion is presented for the problem with multiple fractures. Influence of each fracture can be expressed in a series satisfying Laplace’s equation perfectly. The unknown coefficients in series expansion are determined by using the discharge potentials of all the elements linked to them. Dimension, location and conductivities were randomly selected for the inhomogeneities. Furthermore, a matrix method as a direct solver for AEM, obtained by implementing the intern boundary conditions as well as convergence analysis of iterative method of Gauss–Seidel type are also discussed.

Suggested Citation

  • Hussain, Sardar Muhammad & Cuminato, José Alberto & Marin, Ivan Silvestre Paganini & Wendland, Edson Cezar, 2024. "A matrix solver approach for fracture flow simulation by Analytic Element Method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 666-678.
    • Handle: RePEc:eee:matcom:v:218:y:2024:i:c:p:666-678
    DOI: 10.1016/j.matcom.2023.12.014
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    References listed on IDEAS

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    1. Partha Majumder & T. I. Eldho, 2016. "A New Groundwater Management Model by Coupling Analytic Element Method and Reverse Particle Tracking with Cat Swarm Optimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(6), pages 1953-1972, April.
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