Skip to Main content Skip to Navigation
Journal articles

Fourier transform approach to nonperiodic boundary value problems in porous conductive media

Abstract : In this article, we develop an extension of the Fourier transform solution method in order to solve conduction equation with nonperiodic boundary conditions (BC). The periodic Lippmann-Schwinger equation for porous materials is extended to the case of non-periodicity with relevant source terms on the boundary. The method is formulated in Fourier space based on the temperature as unknown, using the exact periodic Green function and form factors to describe the boundaries. Different types of BC: flux, temperature, mixed and combined with periodicity can be treated by the method. Numerical simulations show that the method does not encounter convergence issues due to the infinite contrast and yields accurate results for both local fields and effective conductivity.
Complete list of metadata

https://hal-upec-upem.archives-ouvertes.fr/hal-03263301
Contributor : Guy Bonnet <>
Submitted on : Thursday, June 17, 2021 - 10:42:14 AM
Last modification on : Tuesday, June 22, 2021 - 3:34:15 AM

File

publi-2021-to-bonnet-fourier-t...
Files produced by the author(s)

Identifiers

Collections

Citation

Quy‐dong To, Guy Bonnet, Trung Nguyen-Thoi. Fourier transform approach to nonperiodic boundary value problems in porous conductive media. International Journal for Numerical Methods in Engineering, Wiley, inPress, ⟨10.1002/nme.6749⟩. ⟨hal-03263301⟩

Share

Metrics

Record views

21

Files downloads

21