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Spectral variational approach to the non-Newtonian stokes problem in a spherical shell

✍ Scribed by Ondřej Čadek; Zdeněk Martinec; Ctirad Matyska

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
849 KB
Volume
71
Category
Article
ISSN
0010-4655

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✦ Synopsis

A hybrid-variational formulation of the Stokes equation for incompressible non-Newtonian flow is suggested. A spherical harmonic technique is adopted to discretize the problem. In the case of non-Newtonian rheology, the energy functional becomes non-quadratic. To minimize it on the set of admissible stress-functions, the gradient method is used and the convergence of the method is demonstrated.

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A simp!e ansat;: for the gound state of atoms and molecules is proposed which is also suitable for large internuclear dis-tanc~ where pertrxbation theory breaks down. In its simplest form, where only doubly+xcited configurations are included, the ansatz leads to 97.3% of the exact correhtion energy