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Bibliographic Details
Main Authors: Seiz, Marco, Takaki, Tomohiro
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2601.16522
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author Seiz, Marco
Takaki, Tomohiro
author_facet Seiz, Marco
Takaki, Tomohiro
contents Phase-field simulations are a practical but also expensive tool to calculate microstructural evolution. This work aims to compare explicit time integrators for a broad class of phase-field models involving coupling between the phase-field and concentration. Particular integrators are adapted to constraints on the phase-field as well as storage scheme implications. Reproducible benchmarks are defined with a focus on having exact sharp interface solutions, allowing for identification of dominant error terms. Speedups of 4 to 114 over the classic forward Euler integrator are achievable while still using a fully explicit scheme without appreciable accuracy loss. Application examples include final stage sintering with pores slowing down grain growth as they move and merge over time.
format Preprint
id arxiv_https___arxiv_org_abs_2601_16522
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Numerical efficiency of explicit time integrators for phase-field models
Seiz, Marco
Takaki, Tomohiro
Numerical Analysis
Materials Science
Phase-field simulations are a practical but also expensive tool to calculate microstructural evolution. This work aims to compare explicit time integrators for a broad class of phase-field models involving coupling between the phase-field and concentration. Particular integrators are adapted to constraints on the phase-field as well as storage scheme implications. Reproducible benchmarks are defined with a focus on having exact sharp interface solutions, allowing for identification of dominant error terms. Speedups of 4 to 114 over the classic forward Euler integrator are achievable while still using a fully explicit scheme without appreciable accuracy loss. Application examples include final stage sintering with pores slowing down grain growth as they move and merge over time.
title Numerical efficiency of explicit time integrators for phase-field models
topic Numerical Analysis
Materials Science
url https://arxiv.org/abs/2601.16522