Submitting Campus
Daytona Beach
Department
Mathematics
Document Type
Article
Publication/Presentation Date
5-2020
Abstract/Description
A special mesh adaptation technique and a precise discontinuity tracking are presented for an accurate, efficient, and robust adaptive-mesh computational procedure for one-dimensional hyperbolic systems of conservation laws, with particular reference to problems with evolving discontinuities in solids. The main advantage of the adaptive technique is its ability to preserve the modified mesh as close to the original fixed mesh as possible. The constructed method is applied to the martensitic phase-transition front propagation in solids.
Publication Title
Journal of Computational Physics
DOI
https://doi.org/10.1016/j.jcp.2020.109542
Publisher
Elsevier
Scholarly Commons Citation
Berezovski, M., & Berezovski, A. (2020). Discontinuity-Driven Mesh Alignment for Evolving Discontinuities in Elastic Solids. Journal of Computational Physics, 416(109542). https://doi.org/10.1016/j.jcp.2020.109542
