scholarly journals A review on computational modelling of phase-transition problems

2019 ◽  
Vol 377 (2143) ◽  
pp. 20180203 ◽  
Author(s):  
Hector Gomez ◽  
Miguel Bures ◽  
Adrian Moure
Keyword(s):  
Phase Transition ◽  
Model Development ◽  
Computational Modelling ◽  
Field Method ◽  
Interfacial Phenomena ◽  
Phase Field Method ◽  
Theme Issue ◽  
Science And Engineering ◽  
Internal Structures ◽  
Numerical Discretization

Phase-transition problems are ubiquitous in science and engineering. They have been widely studied via theory, experiments and computations. This paper reviews the main challenges associated with computational modelling of phase-transition problems, addressing both model development and numerical discretization of the resulting equations. We focus on classical phase-transition problems, including liquid–solid, gas–liquid and solid–solid transformations. Our review has a strong emphasis on the treatment of interfacial phenomena and the phase-field method. This article is part of the theme issue ‘Heterogeneous materials: metastable and non-ergodic internal structures’.

The Phase Field Method: Mesoscale Simulation Aiding Material Discovery

2019 ◽  
Vol 49 (1) ◽  
pp. 79-102 ◽  
Author(s):  
Michael R. Tonks ◽  
Larry K. Aagesen
Keyword(s):  
Microstructure Evolution ◽  
Phase Field ◽  
Model Development ◽  
Field Method ◽  
Mesoscale Modeling ◽  
Atomic Scale ◽  
Phase Field Method ◽  
Mesoscale Simulation ◽  
Initial Research ◽  
Numerical Approaches

Mesoscale modeling and simulation approaches provide a bridge from atomic-scale methods to the macroscale. The phase field (PF) method has emerged as a powerful and popular tool for mesoscale simulation of microstructure evolution, and its use is growing at an ever-increasing rate. While initial research using the PF method focused on model development, as it has matured it has been used more and more for material discovery. In this review we focus on applying the PF method for material discovery. We start with a brief summary of the method, including numerical approaches for solving the PF equations. We then give seven examples of the application of the PF method for material discovery. We also discuss four barriers to its use for material discovery and provide approaches for how these barriers can be overcome. Finally, we detail four lessons that can be learned from the examples on how best to apply the PF method for material discovery.

scholarly journals Numerical Modeling of the Motion and Interaction of a Droplet of an Inkjet Printing Process with a Flat Surface

2021 ◽  
Vol 11 (2) ◽  
pp. 527
Author(s):  
Tim Tofan ◽  
Harald Kruggel-Emden ◽  
Vytautas Turla ◽  
Raimondas Jasevičius
Keyword(s):  
Level Set ◽  
Stokes Equations ◽  
Field Method ◽  
Phase Field Method ◽  
Navier Stokes ◽  
Stable Form ◽  
Fluid Interface ◽  
Velocity Change ◽  
Navier Stokes Equations ◽  
Inkjet Printhead

The numerical simulation and analysis of the ejection of an ink droplet through a nozzle as well its motion through air until its contact with a surface and taking up of a stable form is performed. The fluid flow is modeled by the incompressible Navier–Stokes equations with added surface tension. The presented model can be solved using either a level set or a phase field method to track the fluid interface. Here, the level set method is used to determinate the interface between ink and air. The presented work concentrates on the demonstration how to check the suitability of ink for inkjet printhead nozzles, for instance, for the use in printers. The results such as velocity, change of size, and volume dependence on time of an ink droplet are presented. Recommendations for the use of specific inks are also given.

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