Abstract
A simple and effective numerical method is proposed for simulating the temporal diffusive mass transport process through a microstructure with arbitrary complexity described by a phase-field approach. The mass diffusion through a given microstructure is modeled by a diffusion equation with a variable diffusion coefficient, which is solved by an efficient and accurate semi-implicit spectral method. It is shown that it is possible to extract the effective diffusion coefficient for any given microstructure from the temporal concentration profiles. The method is used to simulate the grain boundary diffusion in a single-phase polycrystalline grain structure and the heterogeneous diffusion in a two-phase microstructure with different diffusion coefficient in each phase. Results are compared with existing analytical theories and computer simulations.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
