A Defect-Correction Method for Time-Dependent Viscoelastic Fluid Flow Based on SUPG Formulation
نویسندگان
چکیده
A defect-correction mixed finite element method for solving the time-dependent JohnsonSegalman viscoelastic equations in two dimensions is given. In the defect step, the constitutive equation is computed with the artificially reduced Weissenberg parameter for stability, and the resulting residual is corrected in the correction step on the same grid. A streamline upwind PetrovGalerkin SUPG approximation is used to stabilize the hyperbolic character of the constitutive equation for the stress. We establish a priori error estimates for the defect step and the first correction step of the defect correction method. The derived theoretical results are supported by numerical tests.
منابع مشابه
Defect correction method for time-dependent viscoelastic fluid flow
A defect correction method for solving the time-dependent viscoelastic fluid flow, aiming at high Weissenberg numbers, is presented. In the defect step, the constitutive equation is computed with the artificially reduced Weissenberg parameter for stability, and the residual is considered in the correction step. We show the convergence of the method and derive an error estimate. Numerical experi...
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