Development and exploitation of advanced materials, structures and technologies in civil engineering, both for buildings with carefully controlled interior temperature and for common residential houses, together with new European and national directives and technical standards, stimulate the development of rather complex and robust, but sufficiently simple and inexpensive computational tools, supporting their design and optimization of energy consumption. This paper demonstrates the possibility of consideration of such seemingly contradictory requirements, using the simplified non-stationary thermal model of a building, motivated by the analogy with the analysis of electric circuits; certain semi-analytical forms of solutions come from the method of lines.

1.
M.G.
Baldi
and
L.
Leoncini
,
Energy Procedia
62
,
723
732
(
2014
).
2.
J.K.
Nayak
and
S.P.
Sukhatme
,
Principles of Thermal Collection and Storage
(
Tata McGraw Hill
,
New Delhi
,
2008
).
3.
S.P.
Sukhatme
,
Solar Energy
(
Tata McGraw Hill
,
New Delhi
,
1996
).
4.
A.
Pacheco-Vega
,
Soft Computing Applications in Thermal Energy Systems
(
Springer
,
Berlin
,
2011
).
5.
M.M.
Gouda
,
S.
Danaher
, and
C.P.
Underwood
,
Build. Environ.
41
,
1881
1891
(
2006
).
6.
I.
Škrjanc
,
B.
Župančič
,
B.
Furlan
and
A.
Kainer
,
Build. Environ.
36
,
1023
1038
(
2001
).
7.
P.
Węglarz
and
P.
Narowski
, “
The optimal thermal design of residential buildings using energy simulation and fuzzy set theory
,” in
Building Simulation – 12th Conference of IBFSA
(
International Building Performance Simulation Association)
in
Sydney
(IBFSA Proceedings,
2011
), pp.
585
592
.
8.
S.
Šťastník
and
J.
Vala
,
Building Research Journal
52
,
31
55
(
2004
).
9.
P.
Jarošová
, “
Computational approaches to the design of low-energy buildings
,” in
PANM – 17ᵗʰ Seminar on Programs and Algorithms of Numerical Mathematics
in
Dolní Maxov
(
Institute of Mathematics AS CR
in
Prague
,
2015
), pp.
92
99
.
10.
P.
Jarošová
and
J.
Vala
,
Advanced Materials Research
1126
,
174
180
(
2015
).
11.
P.
Jarošová
and
S.
Šťastník
, “
Numerical prediction of energy consumption in buildings with controlled interior temperature
,” in
ICNAAM – 13ᵗʰ International Conference on Numerical Analysis and Applied Mathematics
in
Rhodes
,
AIP Conference Proceedings
1648
(
American Institute of Physics
,
Melville, NY
,
2014
), 090014 / pp.
1
4
.
12.
J.
Vala
, “
Computational approaches to some inverse problems from engineering practice
,” in
PANM – 17ᵗʰ Seminar on Programs and Algorithms of Numerical Mathematics
in
Dolní Maxov
(
Institute of Mathematics AS CR
in
Prague
,
2015
), pp.
215
230
.
13.
T.
Roubíček
,
Nonlinear Partial Differential Equations with Applications
(
Birkhäuser
,
Basel
,
2005
).
14.
O.
Gliah
,
T.
Kruczek
, and
J.
Thibault
,
Heat Mass Transfer
47
,
1171
1180
(
2011
).
15.
J. C.
Underwood
,
Energy and Buildings
79
,
191
201
(
2014
).
16.
J.H.
Kämpf
and
D.
Robinson
,
Energy Build.
39
,
445
453
(
2007
).
17.
J.
Vala
, “
Computational modelling of thermal performance of buildings with controlled interior temperature
,” in
PANM – 18ᵗʰ Seminar on Programs and Algorithms of Numerical Mathematics
in
Janov nad Nisou
(
Institute of Mathematics AS CR
in
Prague
,
2017
), submitted.
This content is only available via PDF.
You do not currently have access to this content.