### 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 language | English |
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Pages (from-to) | 397 - 406 |

Number of pages | 10 |

Journal | Building and Environment |

Volume | 35 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2000 |

MoE publication type | A1 Journal article-refereed |

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### Keywords

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

### Cite this

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*Building and Environment*, vol. 35, no. 5, pp. 397 - 406. https://doi.org/10.1016/S0360-1323(99)00038-4

**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.

Research output: Contribution to journal › Article › Scientific › peer-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

M3 - Article

VL - 35

SP - 397

EP - 406

JO - Building and Environment

JF - Building and Environment

SN - 0360-1323

IS - 5

ER -