Approximation of time-dependent, multi-component, viscoelastic fluid flow
نویسندگان
چکیده
منابع مشابه
Approximation of Time-Dependent, Multi-Component, Viscoelastic Fluid Flow
In this article we analyse a fully discrete approximation to the time dependent viscoelasticity equations allowing for multicomponent fluid flow. The Oldroyd B constitutive equation is used to model the viscoelastic stress. For the discretization, time derivatives are replaced by backward difference quotients, and the non-linear terms are linearized by lagging appropriate factors. The modeling ...
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In this article we consider the numerical approximation to the time dependent viscoelasticity equations with an Oldroyd B constitutive equation. The approximation is stabilized by using a SUPG approximation for the constitutive equation. We analyse both the semi-discrete and fully discrete numerical approximations. For both discretizations we prove the existence of, and derive a priori error es...
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A fractional step θ-method for the approximation of time dependent viscoelastic fluid flow equations, is described and analyzed in this article. The θ-method implementation allows the velocity and pressure updates to be resolved separately from the stress, reducing the number of unknowns resolved at each step of the method. A streamline upwinded Petrov-Galerkin (SUPG)-method is used to stabiliz...
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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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A numerical method for modeling time-dependent viscoelastic uid ow, Abstract A numerical method to solve a system of partial diierential equations (PDE), modeling time-dependent viscoelastic uid ow, is developed. The Upper Con-vected Maxwell (UCM) model, and the related Oldroyd-B and Giesekus models are used as constitutive equations, and a linear equation of state allows the uid to be slightly...
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ژورنال
عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering
سال: 2005
ISSN: 0045-7825
DOI: 10.1016/j.cma.2004.07.015