One dimensional finite element solutions for a Maxwell fluid (Q1071608)
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scientific article; zbMATH DE number 3940993
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | One dimensional finite element solutions for a Maxwell fluid |
scientific article; zbMATH DE number 3940993 |
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One dimensional finite element solutions for a Maxwell fluid (English)
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1985
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The one-dimensional flow of a Maxwell fluid is used to study several aspects of the numerical simulation of viscoelastic fluids. The numerical results are produced via a Galerkin finite element method of the mixed type and are compared with an analytic solution. The accuracy of the numerical solutions are evaluated with respect to variations in mesh refinement and changes in the interpolation order for the stress variables. Various convergence and accuracy problems associated with the chosen numerical schemes are noted and a tentative explanation for these difficulties is provided through use of an eigenvalue analysis.
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one-dimensional flow
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Maxwell fluid
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numerical simulation
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Galerkin finite element method of the mixed type
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analytic solution
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accuracy
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mesh refinement
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interpolation order for the stress variables
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convergence
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eigenvalue analysis
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