The hole-filling method and multiscale algorithm for the heat transfer performance of periodic porous materials

作者：

Highlights：

• A multiscale analysis and computation based on hole-filling method is proposed.

• Transient heat transfer problem of periodic porous materials is considered.

• Proof of the limiting process as the parameters of the weak phase go to zero is derived.

• Some numerical results are given in detail to validate the multiscale method developed.

摘要

•A multiscale analysis and computation based on hole-filling method is proposed.•Transient heat transfer problem of periodic porous materials is considered.•Proof of the limiting process as the parameters of the weak phase go to zero is derived.•Some numerical results are given in detail to validate the multiscale method developed.

论文关键词：Multiscale analysis,Transient heat transfer problem,Periodic porous materials,The hole-filling method

论文评审过程：Received 2 January 2016, Revised 23 June 2016, Available online 26 August 2016, Version of Record 21 September 2016.

论文官网地址：https://doi.org/10.1016/j.cam.2016.08.017