A remedy for the temperature recovering method of solidification simulation

✍ Scribed by Takeo Maeda

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 148 KB
• Volume: 29
• Category: Article
• ISSN: 1099-2871
• DOI: 10.1002/1523-1496(200007)29:5<400::aid-htj5>3.0.co;2-k

✦ Synopsis

One of the methods of phase change simulation is the temperature recovering method. It has two main difficulties in practical application. The first one is the explicit nature of the method. The second one is the slow convergence of the solidification ratio. In this study, a method has been proposed to improve these difficulties. The method consists of two procedures.

First, the solidification range is clustered into a discrete variable. A solidification ratio is sorted within a cluster as an integer variable. Second, the source term related to the change of the latent heat is reformulated into an implicit form by the numerical linearization method as previously proposed by the author. The benchmark test cases show that: (1) The convergence is faster, even for large latent heat cases, than the existing method. (2) The stability is independent of the time increment.