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Technical Brief

Assessment of Basic Approaches to Numerical Modeling of Phase Change Problems—Accuracy, Efficiency, and Parallel Decomposition

[+] Author and Article Information
Tomas Mauder

Department of Thermodynamics,
Brno University of Technology,
Brno 616 00, Czech Republic
e-mail: mauder@fme.vutbr.cz

Pavel Charvat

Department of Thermodynamics,
Brno University of Technology,
Brno 616 00, Czech Republic
e-mail: charvat@fme.vutbr.cz

Josef Stetina

Department of Thermodynamics,
Brno University of Technology,
Brno 616 00, Czech Republic
e-mail: stetina@fme.vutbr.cz

Lubomir Klimes

Department of Thermodynamics,
Brno University of Technology,
Brno 616 00, Czech Republic
e-mail: klimes@fme.vutbr.cz

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received June 27, 2016; final manuscript received January 27, 2017; published online April 11, 2017. Editor: Portonovo S. Ayyaswamy.

J. Heat Transfer 139(8), 084502 (Apr 11, 2017) (5 pages) Paper No: HT-16-1425; doi: 10.1115/1.4036081 History: Received June 27, 2016; Revised January 27, 2017

The fast and accurate modeling of phase change is of a significant importance in many processes from steel casting to latent heat thermal energy storage. The paper presents a numerical case study on the transient 3D heat diffusion problem with phase change. Three different approaches to modeling of the solid–liquid phase change in combination with four commonly used numerical schemes are compared for their efficiency, accuracy, applicability, simplicity of implementation, and robustness. The possibility of parallel decomposition of the approaches is also discussed. The results indicate that the best accuracy was achieved with the second-order implicit methods, and the best efficiency was reached with the simple explicit methods.

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