A PENALTY FINITE-ELEMENT METHOD FOR NON-NEWTONIAN CREEPING FLOWS

被引:5
|
作者
CODINA, R
CERVERA, M
ONATE, E
机构
[1] Escola Técnica Superior D'enginyers de Camins, Canals I Ports, Universitat Politécnica de Catalunya, Barcelona, 08034, Gran Capita s/n
关键词
D O I
10.1002/nme.1620360808
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper we present an iterative penalty finite element method for viscous non-Newtonian creeping flows. The basic idea is solving the equations for the difference between the exact solution and the solution obtained in the last iteration by the penalty method. For the case of Newtonian flows, one can show that for sufficiently small penalty parameters the iterates converge to the incompressible solution. The objective of the present work is to show that the iterative penalization can be coupled with the iterative scheme used to deal with the non-linearity arising from the constitutive law of non-Newtonian fluids. Some numerical experiments are conducted in order to assess the performance of the approach for fluids whose viscosity obeys the power law.
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页码:1395 / 1412
页数:18
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