EVALUATION OF FINITE-ELEMENT FORMULATIONS FOR TRANSIENT CONDUCTION FORCED-CONVECTION ANALYSIS
- 1 July 1980
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer
- Vol. 3 (3) , 281-295
- https://doi.org/10.1080/01495728008961759
Abstract
Finite-element formulations for transient conduction forced-convection thermal analysis are studied. The advantages and disadvantages of conventional versus upwind convective finite elements and lumped versus consistent capacitance formulations are evaluated. A procedure for elimination of zero-capacitance nodes is presented. finite-element and finite-difference calculated temperatures are compared with analytical solutions for three fluid convection problems and two practical combined conduction forced-convection applications. The examples show the finite-element method to be fully competitive with the finite-difference method. The finite-element method has superior accuracy, but the finite-difference method maintains an edge In efficiencyKeywords
This publication has 3 references indexed in Scilit:
- Utility of a finite element solution algorithm for initial-value problemsJournal of Computational Physics, 1979
- Finite element methodology for transient conduction/forced-convection thermal analysisPublished by American Institute of Aeronautics and Astronautics (AIAA) ,1979
- Finite element methods for second order differential equations with significant first derivativesInternational Journal for Numerical Methods in Engineering, 1976