Derivation of finite element conductivity and capacitance matrices for 2- and 3-dimensional conduction heat transfer
Abstract
Current techniques commonly utilized in numerical heat transfer analysis carry imposed capability limitations. For example, finite difference formulated heat transfer analysis generally suffers from geometry restrictions. Similarly, finite element formulated heat transfer analyses typically linearize nonlinear transport mechanisms such as convection and radiation. This report considers the concept of beneficially linking the two methods, with the initial phase of such a hybridization derived in detail.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- June 1985
- Bibcode:
- 1985STIN...8616529N
- Keywords:
-
- Capacitance;
- Computation;
- Conductive Heat Transfer;
- Finite Difference Theory;
- Finite Element Method;
- Three Dimensional Bodies;
- Two Dimensional Bodies;
- Convective Heat Transfer;
- Derivation;
- Heat Transfer;
- Radiant Heating;
- Transport Properties;
- Fluid Mechanics and Heat Transfer