A rational method for the distribution of nodes in modelling of transient heat conduction in plane slabs

Pekka Tuomaala (Corresponding Author), Kalevi Piira, M. Vuolle

Research output: Contribution to journalArticleScientificpeer-review

15 Citations (Scopus)

Abstract

In this paper, the thermal response of a homogenous slab to both step and sinusoidal excitations of temperature at one boundary is examined. The distribution of nodes for the purposes of heat balance thermal modelling is discussed. Errors in the heat flux at the external boundary are examined when even and uneven gridding approaches are applied. A denser gridding close to the surface is adopted due to the fact that the curvature of the temperature gradient is greatest near the surface during the early stages of transient heat transfer. Example calculations demonstrate the potential of uneven gridding to obtain a rational compromise between accuracy and computational effort. Rational uneven gridding results in a more accurate solution with a smaller number of thermal nodes compared with even gridding.

Original languageEnglish
Pages (from-to)397 - 406
Number of pages10
JournalBuilding and Environment
Volume35
Issue number5
DOIs
Publication statusPublished - 2000
MoE publication typeA1 Journal article-refereed

Fingerprint

Heat conduction
heat
slab
modeling
compromise
Thermal gradients
heat balance
Heat flux
temperature gradient
curvature
heat flux
heat transfer
Heat transfer
distribution
method
gridding
Hot Temperature
Temperature
temperature

Keywords

  • thermal simulation
  • heat balance
  • uneven gridding
  • thermal network
  • accuracy

Cite this

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abstract = "In this paper, the thermal response of a homogenous slab to both step and sinusoidal excitations of temperature at one boundary is examined. The distribution of nodes for the purposes of heat balance thermal modelling is discussed. Errors in the heat flux at the external boundary are examined when even and uneven gridding approaches are applied. A denser gridding close to the surface is adopted due to the fact that the curvature of the temperature gradient is greatest near the surface during the early stages of transient heat transfer. Example calculations demonstrate the potential of uneven gridding to obtain a rational compromise between accuracy and computational effort. Rational uneven gridding results in a more accurate solution with a smaller number of thermal nodes compared with even gridding.",
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A rational method for the distribution of nodes in modelling of transient heat conduction in plane slabs. / Tuomaala, Pekka (Corresponding Author); Piira, Kalevi; Vuolle, M.

In: Building and Environment, Vol. 35, No. 5, 2000, p. 397 - 406.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - A rational method for the distribution of nodes in modelling of transient heat conduction in plane slabs

AU - Tuomaala, Pekka

AU - Piira, Kalevi

AU - Vuolle, M.

PY - 2000

Y1 - 2000

N2 - In this paper, the thermal response of a homogenous slab to both step and sinusoidal excitations of temperature at one boundary is examined. The distribution of nodes for the purposes of heat balance thermal modelling is discussed. Errors in the heat flux at the external boundary are examined when even and uneven gridding approaches are applied. A denser gridding close to the surface is adopted due to the fact that the curvature of the temperature gradient is greatest near the surface during the early stages of transient heat transfer. Example calculations demonstrate the potential of uneven gridding to obtain a rational compromise between accuracy and computational effort. Rational uneven gridding results in a more accurate solution with a smaller number of thermal nodes compared with even gridding.

AB - In this paper, the thermal response of a homogenous slab to both step and sinusoidal excitations of temperature at one boundary is examined. The distribution of nodes for the purposes of heat balance thermal modelling is discussed. Errors in the heat flux at the external boundary are examined when even and uneven gridding approaches are applied. A denser gridding close to the surface is adopted due to the fact that the curvature of the temperature gradient is greatest near the surface during the early stages of transient heat transfer. Example calculations demonstrate the potential of uneven gridding to obtain a rational compromise between accuracy and computational effort. Rational uneven gridding results in a more accurate solution with a smaller number of thermal nodes compared with even gridding.

KW - thermal simulation

KW - heat balance

KW - uneven gridding

KW - thermal network

KW - accuracy

U2 - 10.1016/S0360-1323(99)00038-4

DO - 10.1016/S0360-1323(99)00038-4

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SP - 397

EP - 406

JO - Building and Environment

JF - Building and Environment

SN - 0360-1323

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