The aim of this study is to introduce a new solution methodology for thermal parameter estimation in building engineering science. By defining a good numerical modeling, inverse algorithm provides us a chance to enhance design conditions in building thermal analysis. The definition of mathematical governing equations and a good solution method to solve them direct the analysis procedure to find temperature distribution using dynamic coding in the computational field. In fact, inverse algorithm utilizes known data resulted from numerical modeling in order to determine the unknown value of important thermal design properties in building problems. The results obtained from implementation of such algorithms demonstrate the accuracy and precision of this new thermal analysis methodology with those of real data resulted from experiments in building problems.

References

References
1.
Valancius
,
K.
,
Motuziene
,
V.
, and
Paulauskaite
,
S.
,
2015
, “
Redeveloping Industrial Buildings for Residential Use: Energy and Thermal Comfort Aspects
,”
Energy for Sustainable Dev.
,
29
, pp.
38
46
.
2.
Han
,
G.
, and
Srebric
,
J.
,
2015
, “
Comparison of Survey and Numerical Sensitivity Analysis Results to Assess the Role of Life Cycle Analyses From Building Designers' Perspectives
,”
Energy Build.
,
108
, pp.
463
469
.
3.
Zhao
,
K.
,
Liu
,
X.
, and
Jiang
,
Y.
,
2013
, “
Application of Radiant Floor Cooling in a Large Open Space Building With High-Intensity Solar Radiation
,”
Energy Build.
,
66
, pp.
246
257
.
4.
Kirimtat
,
A.
,
Kundakci Koyunbaba
,
B.
,
Chatzikonstantinou
,
I.
, and
Sariyildiz
,
S.
,
2016
, “
Review of Simulation Modeling for Shading Devices in Buildings
,”
Renewable Sustainable Energy Rev.
,
53
, pp.
23
49
.
5.
Stephenson
,
D. G.
, and
Mitalas
,
G. P.
,
1967
, “
Cooling Load Calculations by Thermal Response Factor Method
,”
ASHRAE Trans.
,
73
(
1
), pp.
509
515
.
6.
Andersen
,
K. K.
,
2001
, “
Stochastic Modeling of Energy Systems
,” Ph.D. thesis, Department of Mathematical Modelling, The Technical University of Denmark, Lyngby, Denmark.
7.
Hensen
,
R.
,
Auer
,
H.
, and
Biermay
,
P.
,
1995
, “
On System Simulation for Building Performance Evaluation
,”
Fourth IBPSA World Congress on Building Simulation
,
Madison, WI
, Aug. 14–16, pp.
259
267
.
8.
Pedersen
,
C. O.
,
Fisher
,
D. E.
, and
Liesen
,
R. J.
,
1997
, “
Development of a Heat Balance Procedure for Calculating Cooling Loads
,”
ASHRAE Trans.
,
103
(
2
), pp.
459
468
.
9.
Hadamard
,
J.
,
1952
,
Sur les Problem aux Derivees Partielles et Leur Signification Physique
, Vol.
13
,
University Princeton Press,
,
Princeton, NJ
, pp.
49
52
.
10.
Beck
,
J. V.
,
1970
, “
Sensitivity Coefficients Utilized in Nonlinear Estimation With Small Parameters in a Heat Transfer Problem
,”
ASME J. Basic Eng.
,
92
(
2
), pp.
215
222
.
11.
Shenefelt
,
J.
,
Luck
,
R.
,
Taylor
,
R. P.
, and
Berry
,
J. T.
,
2002
, “
Model Reduction Solution for Inverse Heat Conduction Problems Employing Matrix Transfer
,”
Int. J. Heat Mass Transfer
,
45
(
1
), pp.
67
74
.
12.
Tikhanov
,
A. N.
, and
Arsenin
,
V. Y.
,
1977
,
Solution of Ill-Posed Problems
,
Winston
,
Washington, DC
.
13.
Fayazbakhsh
,
M. A.
,
Bagheri
,
F.
, and
Bahrami
,
M.
,
2015
, “
An Inverse Method for Calculation of Thermal Inertia and Heat Gain in Air Conditioning and Refrigeration Systems
,”
Appl. Energy
,
138
, pp.
496
504
.
14.
Lei
,
L.
,
Wang
,
Sh.
, and
Zhang
,
T.
,
2014
, “
Inverse Determination of Wall Boundary Convective Heat Fluxes in Indoor Environments Based on CFD
,”
Energy Build.
,
73
, pp.
130
136
.
15.
Chaffar
,
K.
,
Chauchois
,
A.
,
Defer
,
D.
, and
Zalewski
,
L.
,
2014
, “
Thermal Characterization of Homogeneous Walls Using Inverse Method
,”
Energy Build.
,
78
, pp.
248
255
.
16.
Grieu
,
S.
,
Faugeroux
,
O.
,
Traoré
,
A.
,
Claudet
,
B.
, and
Bodnar
,
J. L.
,
2011
, “
Artificial Intelligence Tools and Inverse Methods for Estimating the Thermal Diffusivity of Building Materials
,”
Energy Build.
,
43
, pp.
543
554
.
17.
Hua
,
J.
,
Fan
,
H.
,
Wang
,
X.
, and
Zhang
,
Y.
,
2015
, “
A Novel Concept to Determine the Optimal Heating Mode of Residential Rooms Based on the Inverse Problem Method
,”
Build. Environ.
,
85
, pp.
73
84
.
18.
Reddy
,
T. A.
,
Deng
,
S.
, and
Claridge
,
D. E.
,
1999
, “
Development of an Inverse Method to Estimate Overall Building and Ventilation Parameters of Large Commercial Buildings
,”
ASME J. Sol. Energy Eng.
,
121
(
1
), pp.
40
46
.
19.
Fernández
,
E.
, and
Besuievsky
,
G.
,
2012
, “
Inverse Lighting Design for Interior Buildings Integrating Natural and Artificial Sources
,”
Comput. Graphics
,
36
(
8
), pp.
1096
1108
.
20.
Ukrainczyk
,
N.
,
2009
, “
Thermal Diffusivity Estimation Using Numerical Inverse Solution for 1D Heat Conduction
,”
Int. J. Heat Mass Transfer
,
52
, pp.
5675
5681
.
21.
Zhang
,
Y.
,
Shi
,
W.
,
Shang
,
R.
,
Cheng
,
R.
, and
Wang
,
X.
,
2015
, “
A New Approach, Based on the Inverse Problem and Variation Method, for Solving Building Energy and Environment Problems: Preliminary Study and Illustrative Examples
,”
Build. Environ.
,
91
, pp.
204
218
.
22.
Zhang
,
Y.
,
O'Neill
,
Z.
,
Dong
,
B.
, and
Augenbroe
,
G.
,
2015
, “
Comparisons of Inverse Modeling Approaches for Predicting Building Energy Performance
,”
Build. Environ.
,
86
, pp.
177
190
.
23.
Sangi
,
R.
,
Baranski
,
M.
,
Oltmanns
,
J.
,
Streblow
,
R.
, and
Müller
,
D.
,
2016
, “
Modeling and Simulation of the Heating Circuit of a Multi-Functional Building
,”
Energy Build.
,
110
, pp.
13
22
.
24.
Harish
,
V. S. K. V.
, and
Kumar
,
A.
,
2016
, “
Reduced Order Modeling and Parameter Identification of a Building Energy System Model Through an Optimization Routine
,”
Appl. Energy
,
162
, pp.
1010
1023
.
25.
Hui
,
S. C. M.
,
1988
, “
Simulation Based Design Tools for Energy Efficient Buildings in Hong Kong
,”
Hong Kong Papers Design Develop.
,
1
, pp.
40
46
.
26.
Berdahl
,
P.
,
Martin
,
M.
, and
Sakkal
,
F.
,
1983
, “
Thermal Performance of Radiative Cooling Panels
,”
Int. J. Heat Mass Transfer
,
26
(
6
), pp.
871
880
.
27.
De Carli
,
M.
,
Scarpa
,
M.
,
Tomasi
,
R.
, and
Zarrella
,
A.
,
2012
, “
A Numerical Model for Thermal Balance of Rooms Equipped With Radiant Systems
,”
Build. Environ.
,
57
, pp.
126
144
.
28.
Hui
,
S. C. M.
, and
Cheung
,
K. P.
,
1998
, “
Application of Building Energy Simulation to Air-Conditioning Design
,”
Mainland-Hong Kong HVAC Seminar '98,
Beijing, China
, Mar. 23–25, pp.
12
20
.
29.
Duda
,
P.
,
2016
, “
A General Method for Solving Transient Multidimensional Inverse Heat Transfer Problems
,”
Int. J. Heat Mass Transfer
,
93
, pp.
665
673
.
30.
Ozisik
,
M. N.
, and
Orlande
,
H. R. B.
,
2000
,
Inverse Heat Transfer Problems: Fundamentals and Applications
,
Taylor and Francis
, New York.
31.
Moftakhari
,
A.
,
Torabi
,
F.
, and
Aghanajafi
,
C.
,
2016
, “
A Novel Energy Simulation Approach for Thermal Design of Buildings Equipped With Radiative Panels Using Inverse Methodology
,”
Energy Buildings
,
113
, pp.
169
181
.
32.
Kim
,
D.
,
Hong
,
S.
, and
Armando Duarte
,
C.
,
2015
, “
Generalized Finite Element Analysis Using the Preconditioned Conjugate Gradient Method
,”
Appl. Math. Modell.
,
39
(
19
), pp.
5837
5848
.
33.
Marquadt
,
M.
,
1963
, “
An Algorithm for Least Square Estimation of Nonlinear Parameters
,”
J. Sci. Appl. Math.
,
11
(2), pp.
431
441
.
You do not currently have access to this content.