A new analytical test case for anisotropic grain growth problems

DOI10.1016/j.apm.2020.11.035zbMath1481.74119OpenAlexW3107824709MaRDI QIDQ823385

N. Bozzolo, J. Fausty, B. Murgas, Marc Bernacki, Sebastian Florez

Publication date: 24 September 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.11.035

zbMATH Keywords

grain growthanisotropylevel setfinite element analysisboundary migration

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Granularity (74E20)

Uses Software

• Gmsh
• PETSc

Cites Work

• Unnamed Item
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Motion of multiple junctions: A level set approach
• Anisotropic mesh adaptation for the solution of the Stefan problem.
• An efficient and parallel level set reinitialization method -- application to micromechanics and microstructural evolutions
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• A MultiPhase Field Concept: Numerical Simulations of Moving Phase Boundaries and Multiple Junctions
• The grain boundary mobility tensor

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