Time-Weissenberg Number Superposition in 4:1 Planar Contraction Flow of a Viscoelastic Fluid
نویسندگان
چکیده
منابع مشابه
Flow of viscoelastic fluids past a cylinder at high Weissenberg number: stabilized simulations using matrix logarithms
The log conformation representation proposed in [1] has been implemented in a fem context using the DEVSS/DG formulation for viscoelastic fluid flow. We present a stability analysis in 1D and attribute the high Weissenberg problem to the failure of the numerical scheme to balance exponential growth. A slightly different derivation of the log based evolution equation than in [1] is also presente...
متن کاملHigh-resolution finite element simulation of 4:1 planar contraction flow of viscoelastic fluid
In this work, we present high-resolution solutions for viscoelastic 4:1 planar contraction flow problems using a transient finite element method based on the fractional step method (FSM) and stabilization techniques (DEVSS-G/DG) with linear equal-order interpolation function. The Oldroyd-B model was used as the constitutive equation. A parallel multi-frontal algorithm was implemented to enhance...
متن کاملComputation of viscoelastic fluid flows at high Weissenberg number using continuation methods
The numerical simulation of viscoelastic fluid flow becomes more difficult as a physical parameter, the Weissenberg number, increases. Specifically, at a Weissenberg number larger than a critical value, the iterative nonlinear solver fails to converge, a phenomenon known as the High Weissenberg Number Problem. In this work we describe the application and implementation of continuation methods t...
متن کاملDefect Correction Method for Viscoelastic Fluid Flows at High Weissenberg Number
We study a defect correction method for the approximation of viscoelastic fluid flow. In the defect step, the constitutive equation is computed with an artificially reduced Weissenberg parameter for stability, and the resulting residual is corrected in the correction step. We prove the convergence of the defect correction method and derive an error estimate for the Oseen-viscoelastic model prob...
متن کاملTime-dependent simulation of viscoelastic flows at high Weissenberg number using the log-conformation representation
We present a second-order finite-difference scheme for viscoelastic flows based on a recent reformulation of the constitutive laws as equations for the matrix logarithm of the conformation tensor. We present a simple analysis that clarifies how the passage to logarithmic variables remedies the high-Weissenberg numerical instability. As a stringent test, we simulate an Oldroyd-B fluid in a lid-d...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nihon Reoroji Gakkaishi
سال: 2005
ISSN: 0387-1533,2186-4586
DOI: 10.1678/rheology.33.191