Proceedings of the Korean Society for Technology of Plasticity Conference (한국소성가공학회:학술대회논문집)
- 2006.05a
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- Pages.99-104
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- 2006
Semi-Lagrangian flow analysis of Viscoelastic fluid using Objective Time Integration
Semi Lagrangian 방법과 Objective Time Integration을 이용한 점탄성 유동 해석
Abstract
A semi-Lagrangian finite element scheme with objective time stepping algorithm for solving viscoelastic flow problem is presented. The convection terms in the momentum and constitutive equations are treated using a quasi-monotone semi-Lagrangian scheme, in which characteristic feet on a regular grid are traced backwards over a single time-step. Concerned with the generalized midpoint rule type of algorithms formulated to exactly preserve objectivity, we use the geometric transformation such as pull-back, push-forward operation. The method is applied to the 4:1 planar contraction problem for an Oldroyd B fluid for both creeping and inertial flow conditions.
Keywords
- Semi Lagrangian;
- Objective time stepping algorithm;
- Viscoelastic fluid;
- Pull-back;
- Push-forward;
- Weissenberg number