An inverse finite element method with an application to extrusion with solidification
作者:
A. N. Alexandrou,
N. R. Anturkar,
T. C. Papanastasiou,
期刊:
International Journal for Numerical Methods in Fluids
(WILEY Available online 1989)
卷期:
Volume 9,
issue 5
页码: 541-555
ISSN:0271-2091
年代: 1989
DOI:10.1002/fld.1650090505
出版商: John Wiley&Sons, Ltd
关键词: Inverse finite elements;Solidification;Extrusion;Metal casting
数据来源: WILEY
摘要:
AbstractThe flow and solidification of planar jets are analysed by means of an efficient inverse isotherm finite element method. The method is based on a tessellation that is constructed by isotherms as characteristic co‐ordinate lines transverse to the flow direction. Thus opposite sides of finite elements lie on isotherms. The method allows the simultaneous determination of the location of the isotherms with the primary unknowns, namely, the velocity, the pressure, the temperature and the location of the free surface. Thus the determination of the location of the solidification front (which is known to pose significant computational difficulties) is automatic. This facilitates the control of the location of the solidification front by controlling macroscopic variables such as the flow rate, the cooling rate and the capillary design. The location of the solidification may then be suitably chosen to influence the frozen‐in orientation and structure in extrusion of high‐performance materials such as composites and polymers, in continuous casting of metals and in growth of cry
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