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] .
See also: Introduction,
Why multidimensional calculation?,
European standards on thermal
bridges,
The over relaxation,
Primary Concepts
[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 |
|