Abstract
AbstractThere is a significant tendency in the industry for automation of the engineering design process. This requires the capability of analyzing an existing design and proposing or ideally generating an optimal design using numerical optimization. In this context, efficient and robust realization of such a framework for numerical shape optimization is of prime importance. Another requirement of such a framework is modularity, such that the shape optimization can involve different physics. This requires that different physics solvers should be handled in black-box nature. The current contribution discusses the conceptualization and applications of a general framework for numerical shape optimization using the vertex morphing parametrization technique. We deal with both 2D and 3D shape optimization problems, of which 3D problems usually tend to be expensive and are candidates for special attention in terms of efficient and high-performance computing. The paper demonstrates the different aspects of the framework, together with the challenges in realizing them. Several numerical examples involving different physics and constraints are presented to show the flexibility and extendability of the framework.
Funder
Deutsche Forschungsgemeinschaft (DFG) through TUM International Graduate School of Science and Engineering (IGSSE), GSC 81
BMW Group, Munich, Germany
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Management Science and Operations Research,Control and Optimization
Reference39 articles.
1. Aage, N., Andreassen, E., Lazarov, B.S., Sigmund, O.: Giga-voxel computational morphogenesis for structural design. Nature 550(7674), 84–86 (2017). https://doi.org/10.1038/nature23911
2. Alexandersen, J., Sigmund, O., Aage, N.: Large scale three-dimensional topology optimisation of heat sinks cooled by natural convection. Int. J. Heat Mass Transf. 100, 876–891 (2016). https://doi.org/10.1016/j.ijheatmasstransfer.2016.05.013
3. Asl, R.N.: Shape optimization and sensitivity analysis of fluids, structures, and their interaction using vertex morphing parametrization. Ph.D. thesis, Technische Universität München, München. https://mediatum.ub.tum.de/doc/1487664/1487664.pdf (2019)
4. Asl, R.N., Shayegan, S., Geiser, A., Hojjat, M., Bletzinger, K.U.: A consistent formulation for imposing packaging constraints in shape optimization using Vertex Morphing parametrization. Struct. Multidiscip. Optim. (2017). https://doi.org/10.1007/s00158-017-1819-9
5. Balasubramanian, R., Newman III, J.C.: Discrete direct and adjoint sensitivity analysis for arbitrary mach number flows. Int. J. Numer. Methods Eng. 66(2), 297–318 (2006). https://doi.org/10.1002/nme.1558
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献