Abstract

In this study, we developed an efficient computer-aided design tool for scaling combustor designs. From a limited number of fluid simulations, an original design is scaled while preserving most of the flow properties, using a multi-objective optimization method and deep neural network or kriging surrogate models. The accuracy and robustness of the method were first tested with a simple geometry. Investigations have shown a strong sensitivity of the surrogate models to the sample distribution, which can be reduced using a strategic sampling method. Subsequently, the geometry was scaled down to a factor of two using both surrogate models while preserving most of the flow features.

References

1.
Alexandridis
,
I.
,
Avranas
,
A.
,
K
,
K.
, and
Kechagias
,
J.
,
2018
, “
Design and 3D Printing of a Two-Stroke Engine With a Low Cost 3D Printer: A Case Study
,”
3rd International Conference on Applied Physics, System Science and Computers
, Dubrovnik, Croatia, Sept. 26–28, p.
9
.https://www.researchgate.net/publication/328137563_Design_and_3D_printing_of_a_two_stroke_engine_with_a_low_cost_3D_printer_A_case_study
2.
Gray
,
J.
, and
Depcik
,
C.
,
2020
, “
Review of Additive Manufacturing for Internal Combustion Engine Components
,”
SAE Int. J. Engines
,
13
(
5
), pp. 617–632.10.4271/03-13-05-0039
3.
Hulka
,
J.
,
2008
, “
Scaling of Performance in Liquid Propellant Rocket Engine Combustion Devices
,”
AIAA
Paper No. 2008-5113.10.2514/6.2008-5113
4.
Stewart
,
D.
,
1956
, “
Scaling of Gas Turbine Combustion Systems
,”
Selected Combustion Problems, II, AGARD Combustion
, Butterworths Scientific Publications, London, UK, pp.
384
413
.
5.
Penner
,
S. S.
,
1955
, “
Similarity Analysis for Chemical Reactors and the Scaling of Liquid Fuel Rocket Engines
,”
Combustion Research and Reviews, AGARD
, California Institute of Technology, Pasadena, CA, pp.
140
162
.
6.
Delabroy
,
O.
,
Lacas
,
F.
,
Labegorre
,
B.
, and
Samaniego
,
J.-M.
,
1998
, “
Parametres de Similitude Pour la Combustion Diphasique
,”
Revue Générale de Thermique
,
37
(
11
), pp.
934
953
.10.1016/S0035-3159(98)80018-4
7.
McKay
,
M. D.
,
B
,
R. J.
, and
Conover
,
W. J.
,
1979
, “
A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code
,”
Technometrics. Am. Stat. Assoc.
,
21
(
2
), pp.
239
245
.10.2307/1268522
8.
Adams
,
B. M.
,
Bohnhoff
,
W. J.
,
Dalbey
,
K. R.
,
Ebeida
,
M. S.
,
Eddy
,
J. P.
,
Eldred
,
M. S.
,
Hooper
,
R. W.
, et al.,
2019
, “
Dakota, a Multilevel Parallel Object-Oriented Framework for Design Optimization, Parameter Estimation, Uncertainty Quantification, and Sensitivity Analysis: Developers Manual
,” Sandia National Lab. (SNL-NM), Albuquerque, NM, Report No.
SAND-2020-4987 686161
.10.2172/1630693
9.
Abadi
,
M.
,
Agarwal
,
A.
,
Barham
,
P.
,
Brevdo
,
E.
,
Chen
,
Z.
,
Citro
,
C.
,
Corrado
,
G. S.
, et al.,
2015
, “
Tensor-Flow: Large-Scale Machine Learning on Heterogeneous Systems
,” CoRR eprint arXiv:1603.04467.10.48550/arXiv.1603.04467
10.
Kingma
,
D. P.
, and
Ba
,
J.
,
2014
, “
Adam: A Method for Stochastic Optimization
,”
3rd International Conference for Learning Representations
, San Diego, CA, May 7–9.10.48550/arXiv.1412.6980
11.
Zimmerman
,
D. C.
,
1996
, “
Genetic Algorithms for Navigating Expensive and Complex Design Spaces
,”
Sandia National Laboratories
, Albuquerque, NM, Report No. AO-7736 CA.
12.
Giunta
,
A. A.
,
Swiler
,
L. P.
,
Brown
,
S. L.
,
Eldred
,
M. S.
,
Richards
,
M. D.
, and
Cyr
,
E. C.
,
2006
, “
The Surfpack Software Library for Surrogate Modeling of Sparse Irregularly Spaced Multidimensional Data
,”
AIAA
Paper No.
2006
7049
.10.2514/6.2006-7049
13.
Giunta
,
A. A.
, and
Watson
,
L. T.
,
1996
, “
A Comparison of Approximation Modeling Techniques: Polynomial Versus Interpolating Models
,”
AIAA
Paper No.
98
4758
.10.2514/6.1998-4758
14.
Romero
,
V. J.
,
Swiler
,
L. P.
, and
G
,
A. A.
,
2004
, “
Construction of Response Surfaces Based on Progressive-Lattice-Sampling Experimental Designs
,”
Struct. Saf.
,
26
(
2
), pp.
201
219
.10.1016/j.strusafe.2003.03.001
15.
Koehler
,
J. R.
, and
Owen
,
A. B.
,
1996
,
Computer Experiments
, Vol.
13
,
Elsevier Science
,
Amsterdam, The Netherlands
.
16.
Deb
,
K.
,
Pratap
,
A.
,
A
,
S.
, and
Meyarivan
,
T.
,
2002
, “
A Fast and Elitist Multi-Objective Genetic Algorithm: NSGA-II
,”
IEEE Trans. Evol. Comput.
,
6
(
2
), pp.
182
197
.10.1109/4235.996017
17.
Blank
,
J.
, and
Deb
,
K.
,
2020
, “
Pymoo: Multi-Objective Optimization in Python
,”
IEEE Access
,
8
, pp.
89497
89509
.10.1109/ACCESS.2020.2990567
18.
Poinsot
,
T.
, and
D
,
V.
,
2005
,
Theoretical and Numerical Combustion
,
Edwards
,
Bordeaux, France
.
19.
Magnussen
,
B.
, and
Hjertager
,
B.
,
1976
, “
On Mathematical Modelling of Turbulent Combustion With Special Emphasis on Soot Formation and Combustion
,”
Proceedings of the 16th International Symposium on Combustion
, Trondheim, Norway, pp.
719
729
.10.1016/S0082-0784(77)80366-4
20.
Caretto
,
L. S.
,
Gosmam
,
A. D.
,
P
,
S. V.
, and
Spalding
,
D. B.
,
1973
, “
Two Calculation Procedures for Steady, Three-Dimensional Flows With Recirculation
,”
Proceedings of the Third International Conference on Numerical Methods in Fluid Mechanics
, London, UK, pp.
60
68
.10.1007/BFb0112677
21.
Clift
,
R.
,
Grace
,
J. R.
, and
W
,
M.
,
1978
,
Low-Dissipation Low-Dispersion Second-Order Scheme for Unstructured Finite Volume Flow Solvers
,
Academic Press, New York
.
22.
Abramzon
,
B.
, and
Sirignano
,
W.
,
1989
, “
Droplet Vaporization Model for Spray Combustion Calculations
,”
Int. J. Heat Mass Transfer
,
32
(
9
), pp.
1605
1618
.10.1016/0017-9310(89)90043-4
23.
Eckel
,
G.
,
Rachner
,
M.
,
Clercq
,
P. L.
, and
Aigner
,
M.
,
2016
, “
Semi-Empirical Model for the Unsteady Shear Breakup of Liquid Jets in Cross-Flow
,”
Atomization Sprays
,
26
(
7
), pp.
687
712
.10.1615/AtomizSpr.2015011185
24.
Rachner
,
M.
,
1998
, “
Die Stoffeigenschaften Von Kerosin Jet a-1
,”
DLR-Mitteilung 98-01
,
DLR–German Aerospace Center
,
Cologne, Germany
.
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