A PHYSICAL APPROACH TO FINITE-ELEMENT MODELING OF COUPLED CONDUCTION AND CONVECTION
- 1 October 1993
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer, Part B: Fundamentals
- Vol. 24 (3) , 243-261
- https://doi.org/10.1080/10407799308955892
Abstract
Finite-element formulations for coupled conduction and convection problems are obtained by a direct approach based on energy balances, at both element and node levels. This way, clear physical interpretations are provided for all the essential steps of conventional finite-element procedures of the Galerkin type. In the examples, the finite-element formulation is validated first by comparison with the analytical solution of a typical benchmark problem. Then the capabilities of the finite-element method are demonstrated by the analysis of coupled conduction and convection problems of practical interestKeywords
This publication has 5 references indexed in Scilit:
- A physical interpretation of conservative and non-conservative finite element formulations of convection-type problemsInternational Journal for Numerical Methods in Engineering, 1992
- A physical interpretation of conventional finite element formulations of conduction‐type problemsInternational Journal for Numerical Methods in Engineering, 1991
- Some novel techniques for the finite element analysis of heat and mass transfer problemsInternational Journal for Numerical Methods in Engineering, 1988
- The stability of explicit Euler time‐integration for certain finite difference approximations of the multi‐dimensional advection–diffusion equationInternational Journal for Numerical Methods in Fluids, 1984
- EVALUATION OF FINITE-ELEMENT FORMULATIONS FOR TRANSIENT CONDUCTION FORCED-CONVECTION ANALYSISNumerical Heat Transfer, 1980