A new methodology is proposed for the topology optimization of fluid in Stokes flow. The binary design variable and no-slip condition along the solid-fluid interface are regularized to allow for the use of continuous mathematical programming techniques. The regularization is achieved by treating the
Finite element analysis of creeping flows using marker particles
✍ Scribed by Takeo Shiojima; Yoji Shimazaki; Hisaaki Daiguji
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 373 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0271-2091
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
The penalty function formulation of the finite element method is described for the analysis of transient incompressible creeping flows. Marker particles are utilized to represent moving free surfaces and to visualize the flow patterns. For determining the movement of markers from element to element, the area coordinate system of the linear triangular element is introduced.
With the method presented, a punch indentation problem and an injection problem for an L‐shaped cavity are solved for Newtonian and power‐law fluids.
📜 SIMILAR VOLUMES
A numerical method for analysing an axisymmetric injection moulding process is presented. A consistent approximation to pressure is applied for a penalty function formulation of Galerkin's finite element method. To analyse the moving free surface and visualize the transient flow pattern, marker part
The finite element representation of the linearized equations governing the steady compressible flow of an isentropic perfect gas is considered. The fully non-linear system of equations is linearized on the basis of small perturbation theory. The finite element matrix equations for an arbitrary poly
## Abstract The aim of the present work is to introduce a formulation for the numerical analysis of three‐dimensional thermochemical non‐equilibrium hypersonic flows, using the finite element method and the Taylor–Galerkin scheme and adopting Park's 2‐temperature, 5‐species (N2, O2, NO, N and O) an