SIMULATION OF FREE SURFACES IN 3D WITH THE ARBITRARY LAGRANGE EULER METHOD: ERRATUM

✍ Scribed by SZABO, P. ;HASSAGER, O. ;RASMUSSEN, H. K.

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 79 KB
• Volume: 13
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(199706)13:6<511::aid-cnm66>3.0.co;2-q

✦ Synopsis

In a previous paper by Szabo and Hassenger 1 , denoted as S&H in the following, we have described a simulation method for 3D ¯ow with free surfaces. The method includes surface tension and is applicable to transient ¯ow. The mesh points can be moved in an arbitrary fashion in the interior ¯ow domain, while special considerations are needed at the boundaries. In particular at free surfaces and at material interfaces the mesh points must follow the material motion in the direction normal to the interface as explained by SoulaõÈ mani et al. (Reference 2, p. 275). To introduce the notation we illustrate the condition as follows: consider in Figure a material interface at times t and t Dt, respectively. A material particle with velocity v moves from position Pt to Pt Dt in time Dt. Likewise an element node with velocity w moves from position Nt to Nt Dt in the same time. However, the mesh must continually cover the ¯owing material. In the limit Dt 3 0, curvature of the interface becomes negligible and we obtain the condition as given in the more formal development by SoulaõÈ mani et al.