Optimal control least squares penalty finite element analysis in convective heat transfer
Abstract
Recent developments in convective heat transfer calculations using the optimal control least square penalty finite elements are discussed. Comparisons with previous works on upwind finite elements and Galerkin approach are given. The procedure is tested on a problem having exact solution first and then on example problems which other investigators have studied. It is shown that with proper choices of penalty constants the convergence and accuracy can be better controlled by the least square penalty formulation than by other methods.
- Publication:
-
National Conference on Numerical Methods in Heat Transfer
- Pub Date:
- 1979
- Bibcode:
- 1979nmht.conf..291K
- Keywords:
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- Boundary Value Problems;
- Convective Heat Transfer;
- Finite Element Method;
- Least Squares Method;
- Optimal Control;
- Penalty Function;
- Computational Fluid Dynamics;
- Convergence;
- Error Analysis;
- Galerkin Method;
- Peclet Number;
- Fluid Mechanics and Heat Transfer