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The Finite Volume Formulation for 2D Second-Order Elliptic Problems with Discontinuous Diffusion/Dispersion Coefficients

Author

Listed:
  • Stefano Ferraris
  • Ivan Bevilacqua
  • Davide Canone
  • Davide Pognant
  • Maurizio Previati

Abstract

We propose a finite volume method for the numerical resolution of two-dimensional steady diffusion problems with possibly discontinuous coefficients on unstructured polygonal meshes. Our numerical method is cellcentered, secondorder accurate on smooth solutions and based on a special numerical treatment of the diffusion/dispersion coefficients that makes its application possible also when such coefficients are discontinuous. Numerical experiments confirm the convergence of the numerical approximation and show a good behavior on a set of benchmark problems in two space dimensions.

Suggested Citation

  • Stefano Ferraris & Ivan Bevilacqua & Davide Canone & Davide Pognant & Maurizio Previati, 2012. "The Finite Volume Formulation for 2D Second-Order Elliptic Problems with Discontinuous Diffusion/Dispersion Coefficients," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-23, April.
    • Handle: RePEc:hin:jnlmpe:187634
    DOI: 10.1155/2012/187634
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