Abstract
In this article, we present an adaptive time-stepping technique for numerical simulation of dendritic crystal growth model. The diagonally implicit fractional step θ-scheme for time discretisation and conforming Q1 finite-element method for space discretisation are used. The performance of the scheme is illustrated by simulating two-dimensional dendritic crystal growth problem, allowing the comparison with other numerical methods. In addition, traditional diagonally implicit Runge–Kutta method is used and comparison is given with the proposed scheme. Robustness is observed for the present scheme. Parametric effects on the growth and shape of dendrites are also given.
| Original language | English |
|---|---|
| Pages (from-to) | 475-488 |
| Number of pages | 14 |
| Journal | European Journal of Computational Mechanics |
| Volume | 25 |
| Issue number | 6 |
| DOIs | |
| State | Published - 1 Nov 2016 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2016 Informa UK Limited, trading as Taylor & Francis Group.
Keywords
- Dendritic crystal growth
- conforming finite element method
- diagonally implicit fractional step -scheme
- phase-field model
ASJC Scopus subject areas
- Modeling and Simulation
- Mechanics of Materials
- Mechanical Engineering
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