Thermal Bridge Heat Transfer & Vapour Diffusion Simulation Program AnTherm Version 6.115 - 10.137 [ ← ] [ ↑ ] [ → ] [ToC]

## Theoretical background

The calculation of temperature field and heat streams is founded on top of the general concept of base solutions and thermal coupling coefficients.

The theoretical foundation for these concepts for steady state (stationary) calculations can be found within the book „Wärmebrücken (Thermal heat Bridges)“ from W. Heindl, et al. [1] and for the dynamic (transient harmonic, periodic) calculation within writings of K. Kreč [2] .

Main feature of theoretical concepts used here has been directly adopted within the "Thermal Bridges Standard“ EN ISO 10211-1 [3], hence the stringent standard's conformance of the program AnTherm is easily provided.

It is noteworthy to reference the distinctive method of direct and exact determination of temperature factors fRsi which applies to multidimensional (three dimensional) cases also.

The numerical methods used in this program build on top of standard mathematics bibliography [4].

The special subjects and methods of optimal over-relaxation are further described in [5] .

### Bibliography

 [1] W. Heindl, K. Kreč, E. Panzhauser & A. Sigmund, "Wärmebrücken", Springer-Verlag (1987) ISBN:3211820248, ISBN:0387820248 [2] K. Kreč, “Zur rechnerischen Erfassung des Einflusses von Wärmebrücken auf das thermische Verhalten von Gebäuden”, Habilitationsschrift, TU Wien (2000) [3] EN ISO 10211-1: „Wärmebrücken im Hochbau – Wärmeströme und Oberflächentemperaturen – Teil 1: Allgemeine Berechnungsverfahren". (1996) EN ISO 10211 "Thermal bridges in building construction — Heat flows and surface temperatures — Detailed calculations". (2007) [4] Stoer-Bulirsch; ”Einführung in die Numerische Mathematik II”; Springer Verlag Berlin- Heidelberg-New York (1973) [5] Björck, Dahlquist "Numerical Methods"; Prentice-Hall, (1983) ISBN:8301042761 [6] Raul H. Mendez „Visualization in Supercomputing“, Springer Verlag (1990) ISBN:0387971491, ISBN:3540971491 [7] K.W.Brodie, L.A.Carpenter, R.A.Earnshaw, J.R.Gallop, R.J.Hubbold, A.M.Mumford, C.D.Osland, P.Quarendon „Scientific Visualization, Techniques and Applications“, Springer Verlag (1991) ISBN:3540545654, ISBN:0387545654 [8] R.M.Fridhoff, W.Benzon „the second computer revolution – VISUALIZATION“, Harry N. Abrams Inc. (1989) ISBN:0810917092 EN ISO 13788:  fRsi and Vapour Diffusion EN ISO 13789: references to Psi and Chi coefficients (inner/outer lengths) EN ISO 14683: Thermal Coupling Coefficient LnD sometimes shown as HD - direct heat transmission coefficient, references to Psi and Chi coefficients EN ISO 14683 Annex A: Thermal Bridges reference

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