On the numerical stability of mixed finite-element methods for viscoelastic flows governed by differential constitutive equations (Q1310074)

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scientific article; zbMATH DE number 474905
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On the numerical stability of mixed finite-element methods for viscoelastic flows governed by differential constitutive equations
scientific article; zbMATH DE number 474905

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    On the numerical stability of mixed finite-element methods for viscoelastic flows governed by differential constitutive equations (English)
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    2 January 1994
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    (From the authors' abstract.) The paper focuses on computation of the linear stability of the planar Couette flow as a test of the numerical stability for solution of the upper-convected Maxwell model. A new mixed finite element method, EVSS-G, is presented that includes smooth interpolation of the velocity gradients in the constitutive equation that is compatible with bilinear interpolation of the stress field. This formulation is tested with SUPG, streamline upwinding, and Galerkin least squares discretization of the constitutive equation.
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    linear stability
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    planar Couette flow
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    upper-convected Maxwell model
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    EVSS-G
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    bilinear interpolation
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    SUPG
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    streamline upwinding
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    Galerkin least squares discretization
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