EXACT FINITE ELEMENT SOLUTIONS FOR LINEAR STEADY-STATE THERMAL PROBLEMS.

Earl A. Thornton; Pramote Dechaumphai; Kumar K. Tamma

EXACT FINITE ELEMENT SOLUTIONS FOR LINEAR STEADY-STATE THERMAL PROBLEMS.

Earl A. Thornton, Pramote Dechaumphai, Kumar K. Tamma

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

An approach for developing exact conduction-convection finite elements is presented. For one-dimensional problems and a quasi two-dimensional problem interpolation functions are derived based on solutions to the governing differential equations. Exact interpolation functions are presented for combined heat transfer in several solids of different shapes and for combined heat transfer in a flow passage. Numerical results demonstrate that exact elements offer significant advantages over elements based on approximate interpolation functions.

Original language	English (US)
Title of host publication	Numerical Methods in Heat Transfer
Editors	Roland Wynne Lewis, Kenneth Morgan, B.A. Schrefler
Publisher	John Wiley & Sons
Pages	37-52
Number of pages	16
ISBN (Print)	0471900648
State	Published - 1983

Publication series

Name	Numerical Methods in Heat Transfer
Volume	2

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EXACT FINITE ELEMENT SOLUTIONS FOR LINEAR STEADY-STATE THERMAL PROBLEMS. / Thornton, Earl A.; Dechaumphai, Pramote; Tamma, Kumar K.
Numerical Methods in Heat Transfer. ed. / Roland Wynne Lewis; Kenneth Morgan; B.A. Schrefler. John Wiley & Sons, 1983. p. 37-52 (Numerical Methods in Heat Transfer; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AU - Tamma, Kumar K.

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N2 - An approach for developing exact conduction-convection finite elements is presented. For one-dimensional problems and a quasi two-dimensional problem interpolation functions are derived based on solutions to the governing differential equations. Exact interpolation functions are presented for combined heat transfer in several solids of different shapes and for combined heat transfer in a flow passage. Numerical results demonstrate that exact elements offer significant advantages over elements based on approximate interpolation functions.

AB - An approach for developing exact conduction-convection finite elements is presented. For one-dimensional problems and a quasi two-dimensional problem interpolation functions are derived based on solutions to the governing differential equations. Exact interpolation functions are presented for combined heat transfer in several solids of different shapes and for combined heat transfer in a flow passage. Numerical results demonstrate that exact elements offer significant advantages over elements based on approximate interpolation functions.

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PB - John Wiley & Sons

ER -

EXACT FINITE ELEMENT SOLUTIONS FOR LINEAR STEADY-STATE THERMAL PROBLEMS.

Abstract

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