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Combined Drag and Cooling Optimization of a Car Vehicle with an Adjoint-Based Approach
ISSN: 0148-7191, e-ISSN: 2688-3627
Published April 03, 2018 by SAE International in United States
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The main objective of this work is to present an adjoint-based methodology to address combined optimization of drag force and cooling flow rate of an industrial vehicle. In order to cope with cooling effect, the volumetric flow rate is treated through a newly introduced cost function and the corresponding adjoint source term is derived. Also an alternative strategy is presented to tackle aerodynamic vehicle design improvement that relies on a so-called indirect force computation. The overall optimization is treated as a Multi-Objective problem and an original approach, called Optimize Both Favor One (OBFO), is introduced that allows selective emphasis on one or another objective without resorting to artificial cost function balancing. Finally, comparative results are presented to demonstrate the merit of the proposed methodology.
CitationPierrot, G., Papper, J., Han, T., and Kaushik, S., "Combined Drag and Cooling Optimization of a Car Vehicle with an Adjoint-Based Approach," SAE Technical Paper 2018-01-0721, 2018, https://doi.org/10.4271/2018-01-0721.
- http://www.iconcfd.com, November 2017
- Schmidt S., Schulz V., “Shape Derivatives for General objective Functions and the Incompressible Navier-Stokes Equations,” Control and Cybernetics, vol. 39 (2010), N° 3.
- Bear J., “Dynamics of Fluids in Porous Materials,” American Elsevier, 1972. Also reissued by Dover publication, 1988.
- Nadarajah, S., Jameson A., “Studies of the Continuous and Discrete Adjoint Approaches to Viscous Automatic Aerodynamic Shape Optimization,” 15th AIAA Computational Fluid Dynamics Conference, Anaheim, CA.
- Popovac M., Reichl C, Jasak H., Rusche H., "RANS Turbulence Treatment for Continuous Adjoint Optimization," 8th International Symposium on Turbulence, Heat and Mass Transfer 8, Sarajevo, Bosnia and Herzegovina.
- Hinterberger C., Olesen M., “Industrial Applications of Continuous Adjoint Flow Solvers for the Optimization of Automotive Exhaust System,” CFD & Optimization, 2011-069 An ECCOMAS Thematic Conference, 23-25 May 2011, Antalya, Turkey.
- Deaton, J. and Grandhi, R., “A Survey of Structural and Multidisciplinary Continuum Topology Optimization: Post 2000,” Struct Multidisc Optim 49:1-38, 2014, doi:10.1007/s00158-013-0956-z.
- Othmer, C., “A Continuous Adjoint Formulation for the Computation of Topological and Surface Sensitivities of Ducted Flows,” International Journal for Numerical Methods in Fluids 58(8):861877, 2008.
- Ramiere I., Angot P., Belliard M., “A general fictitious method with immersed jumps and multilevel nested structured meshes”, Journal of Computational Physics 225, 2 (2007) pp 1347-1387" DOI : 10.1016/j.jcp.2007.01.026d.
- Stuck, A., “Adjoint Navier-Stokes Methods for Hydrodynamic Shape Optimisation”, PhD thesis, Techn. Univ., Hamburg-Harburg, 2011.
- Arora, J.S., Chahande, A.I., and Paeng, J.K., “Multiplier Methods for Engineering Optimization,” International Journal for Numerical Methods in Engineering 32(7):1485-1525, 1991, doi:10.1002/nme.1620320706.
- Kim, I. and de Weck, O.L., “Adaptive Weighted Sum Method for Multiobjective Optimization: A New Method for Pareto Front generation,” Struct Multidisc Optim 31:105-116, 2006, doi:10.1007/s00158-005-0557-6.
Desideri J.-A., “Multiple-Gradient Descent Algorithm (MGDA) for Pareto-Front Identification,” In Fitzgibbon, W.; Kuznetsov, Y.A.; Neittaanmæki, P.; Pironneau, O. Modeling, Simulation and Optimization for Science and Technology, 34, Springer, 2014, Computational Methods in Applied Sciences, 978-94-017-9054-3.
- Othmer, C., “Adjoint Methods for Car Aerodynamics,” Journal of Mathematics in Industry 4:6, 2014.
- Mustafa, R., Schulze, M., Elits, P., and Kucukay, F., “Improved energy management using engine compartment encapsulation and grille shutter control,” SAE Int. J. Fuels Lubr. 5(2):803-812, 2012, doi:10.4271/2012-01-1203.