Control volume based finite element formulation of the heat conduction equation
Abstract
A control-volume-based formulation framework is presented for the direct application of governing conservation principles in the determination of algebraic finite element equations for conduction heat transfer problems. The case of a linear, quadrilateral, isoparametric finite element is considered, and it is noted that reduced computational times and improved accuracy can result from the application of the procedure. The control volume formulation permits a direct physical interpretation of the governing algebraic equations by enforcing the conservation constraint for finite control volumes distributed in the domain. The formulation is applied to several test problems, demonstrating convergence to the correct solution on all problems.
- Publication:
-
American Institute of Aeronautics and Astronautics Conference
- Pub Date:
- June 1982
- Bibcode:
- 1982aiaa.confS....S
- Keywords:
-
- Computer Techniques;
- Conductive Heat Transfer;
- Finite Volume Method;
- Galerkin Method;
- Heat Flux;
- Partial Differential Equations;
- Performance Prediction;
- Spherical Coordinates;
- Taylor Series;
- Fluid Mechanics and Heat Transfer