Boundary element method analysis for the transient conduction - convection in 2-D with spatially variable convective velocity

Sirilath J. DeSilva, Cho Lik Chan, Abhijit Chandra, Junghwan Lim

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

A boundary element method (BEM) formulation for the solution of transient conduction-convection problems with spatially variable convective velocities is developed in this paper. A time-dependent fundamental solution for a moving heat source with constant velocity is utilized for this purpose. Such a formulation is expected to be accurate and stable at high Peclet numbers. Numerical examples are included to establish the validity of the approach. It is observed that the BEM scheme avoids considerable false diffusion, and the numerical results for sample problems compare very well to analytical results.

Original languageEnglish (US)
Pages (from-to)81-112
Number of pages32
JournalApplied Mathematical Modelling
Volume22
Issue number1-2
DOIs
StatePublished - 1998

Keywords

  • BEM
  • Convection
  • Transient
  • Variable velocity

ASJC Scopus subject areas

  • Modeling and Simulation
  • Applied Mathematics

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