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Erschienen in:
Macroscopic Heat Conduction Formulation Kapitel lesen Erstes Kapitel lesen

2018 | OriginalPaper | Buchkapitel

3. Numerical Methods for Conduction-Type Phenomena

verfasst von : Bantwal R. Baliga, Iurii Lokhmanets, Massimo Cimmino

Erschienen in: Handbook of Thermal Science and Engineering

Verlag: Springer International Publishing

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Abstract

A variety of physical phenomena can be mathematically modeled using equations similar to those used to model heat conduction. In this sense, they can all be referred to as conduction-type phenomena. Numerical methods for solving the mathematical models of conduction-type phenomena are the subject of this chapter. The focus is on control-volume finite difference methods (formulated by combining ideas borrowed from finite volume and finite difference methods) and control-volume finite element methods (formulated by amalgamating concepts native to finite volume and finite element methods) for solving the mathematical models of steady and unsteady, multidimensional, conduction-type phenomena in single-phase isotropic materials contained within regular and irregular calculation domains. Concise presentations of the following topics are also included: validation and verification, a generalized Richardson extrapolation procedure for estimating grid-independent numerical solutions, and measures of error and order of accuracy. Finally, to demonstrate some key aspects of the topics covered in this chapter, the use of a control-volume finite element method to predict laminar fully developed Newtonian fluid flow in a straight eccentric annulus is presented and discussed.

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Vorheriges Kapitel Analytical Methods in Heat Transfer
Nächstes Kapitel Thermophysical Properties Measurement and Identification
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Metadaten
Titel
Numerical Methods for Conduction-Type Phenomena
verfasst von
Bantwal R. Baliga
Iurii Lokhmanets
Massimo Cimmino
Copyright-Jahr
2018
Buch
Handbook of Thermal Science and Engineering

Print ISBN: 978-3-319-26694-7

Electronic ISBN: 978-3-319-26695-4

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-3-319-26695-4_4

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