Talk:Asymptotic homogenization

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Physics Mid‑importance

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Proposal to add an "Applications" section

Latest comment: 1 year ago1 comment1 person in discussion

Hello, I've noticed this article clearly explains the theory of asymptotic homogenization but lacks a section on its practical applications. I think adding one would be very helpful for readers.

I propose adding a new "Applications" section with an example from the field of porous media transport, which is a common use case for this method. (Full disclosure: I am an author on the paper I'm suggesting as a primary citation for this example.) Here is the proposed text for the new section:

Applications

This method is widely used in materials science and engineering to determine the bulk properties of heterogeneous materials. For example, in the study of transport phenomena through porous media (such as soils, biological tissues, or industrial filters), asymptotic homogenization is applied to the governing diffusion equations. The method allows for the calculation of an effective diffusivity tensor from the material's micro-structural geometry, which can be obtained from techniques like X-ray tomography. This approach bridges the gap between the complex pore-scale physics and the desired macroscopic behavior of the material, providing a key parameter for larger-scale models.^[1]

Happy to hear any thoughts or suggestions.

Best regards, Jazzymonster2025 (talk) 11:11, 8 August 2025 (UTC)Reply

References

↑ Le Houx, J.; Ruiz, S.; McKay Fletcher, D.; Ahmed, S.; Roose, T. (26 July 2023). "Statistical Effective Diffusivity Estimation in Porous Media Using an Integrated On-site Imaging Workflow for Synchrotron Users". Transport in Porous Media. 150: 71–88. doi:10.1007/s11242-023-01993-7. Retrieved 8 August 2025.

[1] Le Houx, J.; Ruiz, S.; McKay Fletcher, D.; Ahmed, S.; Roose, T. (26 July 2023). "Statistical Effective Diffusivity Estimation in Porous Media Using an Integrated On-site Imaging Workflow for Synchrotron Users". Transport in Porous Media. 150: 71–88. doi:10.1007/s11242-023-01993-7. Retrieved 8 August 2025.

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