A generalised coordinate time-split finite element method for compressible viscous flow
Abstract
A generalized time-split finite element method is developed to solve Navier-Stokes equations for compressible flow. The method handles the non-rectangular elements in the physical domain by transforming the governing equations to the generalized space (xi, eta). Such an approach is found to be superior to the use of an isoparametric formulation. The method makes use of the group formulation which offers considerable advantages over a formal finite element approach. The generalized time-split finite element method is applied to laminar flow past symmetric and asymmetric trailing edges. Imposition of non-reflecting boundary conditions is another feature of the present work. A procedure called the 'variable sweep' cycle is described and is found to contribute significantly towards saving in execution time.
- Publication:
-
Computational Techniques and Applications: CTAC-83
- Pub Date:
- 1984
- Bibcode:
- 1984ctap.proc..476S
- Keywords:
-
- Compressible Flow;
- Computational Fluid Dynamics;
- Finite Element Method;
- Navier-Stokes Equation;
- Time Marching;
- Trailing Edges;
- Boundary Conditions;
- Boundary Layer Flow;
- Convergence;
- Coordinate Transformations;
- Group Theory;
- Laminar Flow;
- Viscous Flow;
- Fluid Mechanics and Heat Transfer