کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
500464 | 863089 | 2005 | 27 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Approximation of time-dependent, multi-component, viscoelastic fluid flow Approximation of time-dependent, multi-component, viscoelastic fluid flow](/preview/png/500464.png)
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 equations for the individual fluids are combined into a single system of equations using a continuum surface model. The numerical approximation is stabilized by using an SUPG approximation for the constitutive equation. Under a small data assumption on the true solution, existence of the approximate solution is proven. A priori error estimates for the approximation in terms of the mesh parameter h, the time discretization parameter Δt, and the SUPG coefficient ν are also derived. Numerical simulations of viscoelastic fluid flow involving two immiscible fluids are also presented.
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 194, Issues 18–20, 20 May 2005, Pages 2229–2255