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Numercal simulation of three dimensional mold filling flow using Arbitrary Lagrangian Eulerian finite element method |
Received:October 29, 2007 |
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DOI:10.7511/jslx20096011 |
KeyWord:ALE method mould filling free surface tracking moving least square polyhedron triangulation |
Author | Institution |
王宣平 |
大连理工大学 工业装备结构分析国家重点实验室,大连 |
李锡夔 |
大连理工大学 工业装备结构分析国家重点实验室,大连 |
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Abstract: |
This paper presents a scheme for numerical simulation of the three dimensional free surface flow in mold filling process by using Arbitrary Lagrangian Eulerian (ALE) finite element method. In light of the ALE description, the moving free surface is accurately tracked without the emergence of entangled elements due to the relative movement of free surface nodes. Based on the moving least square (MLS) surface fitting method, a re-positioning technique is proposed for adjusting nodes on the moving free surface with complex shape, which determines the movement of free surface nodes in a self-adaptive manner. By virtue of the ALE method, the mesh regeneration frequently required in free surface flow problems is converted into a local remeshing process in the vicinity of the moving free surface, and implemented by the proposed hierarchical polyhedron triangulation technique. The interpolation errors involved in the remeshing process are minimized and only occur in local zones, and the computational effort of the remeshing process is reduced greatly and the real-time mesh generation is available. Examples of the three dimensional mold filling simulation are presented to illustrate the capability of the numerical scheme. |
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