Abstract
Computer simulations of complex natural phenomena become an approach of choice if experimental work is impractical or dangerous. Often, optimization approaches are used in a closed cycle with the simulation to obtain the desired performances. To test and validate such cases an optimization of a coupled thermo-fluid transport in a two dimensional cavity is elaborated. We seek for optimal positions and dimensions of obstacles in the cavity to minimize the heat flux through the domain. One can apply such an approach to maximize the insulation by using minimal amount of insulation material. The governing equations are solved with a meshless numerical method while the optimization is performed with differential evolution. The solution and optimization procedures are designed for execution on parallel computers. Incentive scalability and speed-up are demonstrated on the presented test case.
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References
Abraham, A., Jain, L., Goldberg, R. (eds.): Evolutionary Multiobjective Optimization. Springer, London (2005)
Bonabeau, E., Dorigo, M., Theraulaz, G.: Swarm Intelligence: From Natural to Artificial Systems. Oxford University Press (1999)
Burke, E.K., Kendall, G. (eds.): Introduction to Stochastic Search and Optimization. Wiley, Hoboken (2003)
Chandra, R., Dagum, L., Kohr, D., Maydan, D., McDonald, J., Menon, R.: Parallel Programming in OpenMP. Academic Press, San Diego (2001)
Coello, C.A.C., Lamont, G.B., Veldhuizen, D.A.V.: Evolutionary Algorithms for Solving Multi-Objective Problems (Genetic and Evolutionary Computation). Springer New York Inc, Secaucus, NJ, USA (2006)
Depolli, M., Trobec, R., Filipi, B.: Asynchronous master-slave parallelization of differential evolution for multiobjective optimization. Evolutionary Computation 21(2), 261–291 (2013)
Eiben, A.E., Smith, J.E.: Introduction to Evolutionary Computing. Springer, Berlin (2003)
Kosec, G., Depolli, M., Rashkovska, A., Trobec, R.: Super linear speedup in a local parallel meshless solution of thermo-fluid problems. Comput. Struct. 133, 30–38 (2014)
Kosec, G., Trobec, R.: Simulation of semiconductor devices with a local numerical approach. Eng. Anal. Boundary Elements 50, 69–75 (2015)
Kosec, G., Šarler, B.: Solution of thermo-fluid problems by collocation with local pressure correction. Int. J. Numer. Methods Heat Fluid Flow 18, 868–882 (2008)
Kosec, G., Zinterhof, P.: Local strong form meshless method on multiple graphics processing units. CMES. Comput. Model. Eng. Sci. 91(5), 377–396 (2013)
Malan, A.G., Lewis, R.W.: An artificial compressibility cbs method for modelling heat transfer and fluid flow in heterogeneous porous materials. Int. J. Numer. Methods Eng. 87, 412–423 (2011)
Price, K., Storn, R.M., Lampinen, J.A.: Differential Evolution: A Practical Approach to Global Optimization. Natural Computing Series. Springer, Berlin (2005)
Snir, M., Otto, S., Huss-Lederman, S., Walker, D., Dongarra, J.: MPI—The Complete Reference. The MIT Press, Cambridge (1996)
Šterk, M., Trobec, R.: Meshless solution of a diffusion equation with parameter optimization and error analysis. Eng. Anal. Boundary Elements 32(7), 567–577 (2008)
Trobec, R., Kosec, G.: Parallel Scientific Computing: Theory, Algorithms, and Applications of Mesh Based and Meshless Methods. Springer (2015)
de Vahl Davis, : G.: Natural Convection of Air in a Square Cavity: A Bench Mark Numerical Solution. Int. J. Numer. Methods Fluids 3, 249–264 (1983)
Wang, C.A., Sadat, H., Prax, C.: A new meshless approach for three dimensional fluid flow and related heat transfer problems. Comput. Fluids 69, 136–146 (2012)
Zitzler, E., Thiele, L.: Multiobjective optimization using evolutionary algorithms—a comparative case study. In: Proceedings of the Fifth Conference on Parallel Problem Solving from Nature—PPSN V, pp. 292–301. Springer, Heidelberg (1998)
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We acknowledge the financial support from the Slovenian Research Agency under the programme group P2-0095.
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Depolli, M., Kosec, G., Trobec, R. (2017). Parallel Evolutionary Optimization of Natural Convection Problem. In: Adamatzky, A. (eds) Emergent Computation . Emergence, Complexity and Computation, vol 24. Springer, Cham. https://doi.org/10.1007/978-3-319-46376-6_18
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DOI: https://doi.org/10.1007/978-3-319-46376-6_18
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