A distance-function-based Cartesian (DIFCA) grid method for irregular geometries

J. C. Chai, Y. F. Yap

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A distance-function-based Cartesian grid (DIFCA) method is presented for conduction heat transfer in irregular geometries. The irregular geometries are identified by distance functions. The finite-volume method is used to discretize the heat conduction equation. Non-zero departure from regular geometries terms are added to the discretization equations for the control volumes bisected by irregular boundaries. With these additional departure terms, the existing Cartesian finite-volume solver can be modified easily to model heat conduction in irregular geometries. Given boundary temperatures, given boundary fluxes and convective heat transfer at irregular boundaries are considered. Non-zero heat generation is also modeled. The proposed procedure is validated against eight test cases where good agreements are achieved.

Original languageEnglish
Pages (from-to)1691-1706
Number of pages16
JournalInternational Journal of Heat and Mass Transfer
Volume51
Issue number7-8
Early online date30 Aug 2007
DOIs
Publication statusPublished - Apr 2008
Externally publishedYes

Fingerprint

grids
Heat conduction
Geometry
geometry
conductive heat transfer
heat generation
convective heat transfer
finite volume method
Heat generation
Finite volume method
heat transfer
Fluxes
Heat transfer
conduction
Temperature
temperature

Cite this

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abstract = "A distance-function-based Cartesian grid (DIFCA) method is presented for conduction heat transfer in irregular geometries. The irregular geometries are identified by distance functions. The finite-volume method is used to discretize the heat conduction equation. Non-zero departure from regular geometries terms are added to the discretization equations for the control volumes bisected by irregular boundaries. With these additional departure terms, the existing Cartesian finite-volume solver can be modified easily to model heat conduction in irregular geometries. Given boundary temperatures, given boundary fluxes and convective heat transfer at irregular boundaries are considered. Non-zero heat generation is also modeled. The proposed procedure is validated against eight test cases where good agreements are achieved.",
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A distance-function-based Cartesian (DIFCA) grid method for irregular geometries. / Chai, J. C.; Yap, Y. F.

In: International Journal of Heat and Mass Transfer, Vol. 51, No. 7-8, 04.2008, p. 1691-1706.

Research output: Contribution to journalArticle

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AB - A distance-function-based Cartesian grid (DIFCA) method is presented for conduction heat transfer in irregular geometries. The irregular geometries are identified by distance functions. The finite-volume method is used to discretize the heat conduction equation. Non-zero departure from regular geometries terms are added to the discretization equations for the control volumes bisected by irregular boundaries. With these additional departure terms, the existing Cartesian finite-volume solver can be modified easily to model heat conduction in irregular geometries. Given boundary temperatures, given boundary fluxes and convective heat transfer at irregular boundaries are considered. Non-zero heat generation is also modeled. The proposed procedure is validated against eight test cases where good agreements are achieved.

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