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Transformation of dependent variable in the finite element solution of some phase change problems

✍ Scribed by Stefka Borshukova; Petar Konovski

Publisher
John Wiley and Sons
Year
1984
Tongue
English
Weight
329 KB
Volume
20
Category
Article
ISSN
0029-5981

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✦ Synopsis

The approach of Cermak and Zlamal' for solving quasilinear parabolic equations is modified and improved. The modified approach leads to a normal system of ODE, which may be solved with a standard program. The numerical solution of a specially selected example is compared with the exact solution. The method is applied on a system of quasilinear parabolic equations, which describes a real processcrystallization of a metal ingot.

X (0, TI, where 0 c R N is a bounded domain with a partially smooth boundary

Let the boundary r consist of two parts, rl and r2, the intersection of which is empty. Let n be the outward normal to r2. The boundary conditions are

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