On the consequence of discretization errors in the numerical calculation of viscoelastic flow (Q1058903)

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scientific article; zbMATH DE number 3902229
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On the consequence of discretization errors in the numerical calculation of viscoelastic flow
scientific article; zbMATH DE number 3902229

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    On the consequence of discretization errors in the numerical calculation of viscoelastic flow (English)
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    1985
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    Having recalled some theorems pertaining to strong solutions of the viscoelastic flow problem, we establish a parallel between these theorems and observations made in the numerical calculation of such flows by means of a mixed method. It is shown that numerical errors in the evaluation of the extra-stress tensor have dramatic consequences upon the other field variables for the flow of a Maxwell fluid, and that the damage is limited with an Oldroyd-B fluid.
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    discretization error
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    flow around sphere
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    strong solutions
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    mixed method
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    extra-stress tensor
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    Maxwell fluid
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    Oldroyd-B fluid
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