BEM analysis for transient conduction-convection problems

J. Lim, Cholik Chan, A. Chandra

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A boundary element method (BEM) formulation for the solution of transient conduction-convection problems is developed in this paper. A time-dependent fundamental solution for moving heat source problems is utilized for this purpose. This reduces the governing parabolic partial differential equations to a boundary-only form and obviates the need for any internal discretization. Such a formulation is also expected to be stable at high Peclet numbers. Numerical examples are included to establish the validity of the approach and to demonstrate the salient features of the BEM algorithm.

Original language English (US) 31-45 15 International Journal of Numerical Methods for Heat and Fluid Flow 4 1 Published - Feb 1994

Fingerprint

Boundary element method
Conduction
Boundary Elements
Convection
Peclet number
Formulation
Parabolic Partial Differential Equations
Heat Source
Fundamental Solution
Partial differential equations
Discretization
Internal
Numerical Examples
Demonstrate
Hot Temperature

ASJC Scopus subject areas

• Computational Mechanics
• Mechanics of Materials
• Applied Mathematics

Cite this

BEM analysis for transient conduction-convection problems. / Lim, J.; Chan, Cholik; Chandra, A.

In: International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 4, No. 1, 02.1994, p. 31-45.

Research output: Contribution to journalArticle

@article{a300e2b7c3dc4401af000a44c0cdccbd,
title = "BEM analysis for transient conduction-convection problems",
abstract = "A boundary element method (BEM) formulation for the solution of transient conduction-convection problems is developed in this paper. A time-dependent fundamental solution for moving heat source problems is utilized for this purpose. This reduces the governing parabolic partial differential equations to a boundary-only form and obviates the need for any internal discretization. Such a formulation is also expected to be stable at high Peclet numbers. Numerical examples are included to establish the validity of the approach and to demonstrate the salient features of the BEM algorithm.",
author = "J. Lim and Cholik Chan and A. Chandra",
year = "1994",
month = "2",
language = "English (US)",
volume = "4",
pages = "31--45",
journal = "International Journal of Numerical Methods for Heat and Fluid Flow",
issn = "0961-5539",
publisher = "Emerald Group Publishing Ltd.",
number = "1",

}

TY - JOUR

T1 - BEM analysis for transient conduction-convection problems

AU - Lim, J.

AU - Chan, Cholik

AU - Chandra, A.

PY - 1994/2

Y1 - 1994/2

N2 - A boundary element method (BEM) formulation for the solution of transient conduction-convection problems is developed in this paper. A time-dependent fundamental solution for moving heat source problems is utilized for this purpose. This reduces the governing parabolic partial differential equations to a boundary-only form and obviates the need for any internal discretization. Such a formulation is also expected to be stable at high Peclet numbers. Numerical examples are included to establish the validity of the approach and to demonstrate the salient features of the BEM algorithm.

AB - A boundary element method (BEM) formulation for the solution of transient conduction-convection problems is developed in this paper. A time-dependent fundamental solution for moving heat source problems is utilized for this purpose. This reduces the governing parabolic partial differential equations to a boundary-only form and obviates the need for any internal discretization. Such a formulation is also expected to be stable at high Peclet numbers. Numerical examples are included to establish the validity of the approach and to demonstrate the salient features of the BEM algorithm.

UR - http://www.scopus.com/inward/record.url?scp=0028377748&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028377748&partnerID=8YFLogxK

M3 - Article

VL - 4

SP - 31

EP - 45

JO - International Journal of Numerical Methods for Heat and Fluid Flow

JF - International Journal of Numerical Methods for Heat and Fluid Flow

SN - 0961-5539

IS - 1

ER -