Turbulent boundary-layer analysis using finite elements
Abstract
The use of finite element methods for turbulent boundary-layer flow is relatively recent and of limited extent. In the present study, the group variable approach of Fletcher and Fleet (1984) is extended to treat turbulent boundary layer flows with heat transfer using a two-equation turbulence model. The main concepts in the formulation include a Dorodnitsyn-type transformation which uses a velocity component as the transverse variable, a 'variational' formulation for the transformed equations using special test functions and development of a two-equation turbulence model in terms of the turbulent kinetic energy and turbulence dissipation rate as additional field variables. Several numerical test cases have been examined comparing the results with finite difference calculations and comparing the two-equation turbulence model with an algebraic turbulence model.
- Publication:
-
International Journal for Numerical Methods in Fluids
- Pub Date:
- November 1986
- DOI:
- 10.1002/fld.1650061102
- Bibcode:
- 1986IJNMF...6..769S
- Keywords:
-
- Boundary Layer Flow;
- Computational Fluid Dynamics;
- Finite Element Method;
- Heat Transfer;
- Turbulent Boundary Layer;
- Flat Plates;
- Laminar Flow;
- Mixing Length Flow Theory;
- Skin Friction;
- Stanton Number;
- Turbulence Models;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer