TY - JOUR
T1 - The Vertex Morphing method for node-based shape optimization
AU - Hojjat, Majid
AU - Stavropoulou, Electra
AU - Bletzinger, Kai Uwe
N1 - Funding Information:
The authors acknowledge support by the European Commission under THEME SST.2007-RTD-1: Competitive product development, as part of the project FLOWHEAD (Fluid Optimisation Workows for Highly Effective Automotive Development Processes), from February 2009 to May 2012. Moreover, the authors would like to thank Dr. Carsten Othmer from Volkswagen AG for providing the industrial test cases.
PY - 2014/1/1
Y1 - 2014/1/1
N2 - The Vertex Morphing method, a consistent surface control approach for shape optimization is presented. This method introduces a control field and a map that relates it to the geometry field. The optimization problem is solved in the control space and the map is defined such that both surface smoothness and mesh regularity criteria are satisfied simultaneously and synchronously in the geometry field. The control field is discretized with the same discretization as the one of the geometry, which leads to the richest design space possible for optimization of a discrete geometry. The capabilities of the Vertex Morphing method are evaluated within an adjoint based CFD shape optimization workflow. Several engineering cases mainly from automotive industry are tested. The method has shown significant success in performance, efficiency and robustness even for problems with extreme geometrical complexities and millions of design parameters for applications in structural as well as fluid mechanics and their combination.
AB - The Vertex Morphing method, a consistent surface control approach for shape optimization is presented. This method introduces a control field and a map that relates it to the geometry field. The optimization problem is solved in the control space and the map is defined such that both surface smoothness and mesh regularity criteria are satisfied simultaneously and synchronously in the geometry field. The control field is discretized with the same discretization as the one of the geometry, which leads to the richest design space possible for optimization of a discrete geometry. The capabilities of the Vertex Morphing method are evaluated within an adjoint based CFD shape optimization workflow. Several engineering cases mainly from automotive industry are tested. The method has shown significant success in performance, efficiency and robustness even for problems with extreme geometrical complexities and millions of design parameters for applications in structural as well as fluid mechanics and their combination.
KW - Adjoint CFD optimization
KW - Mesh regularization
KW - Node-based parametrization
KW - Shape derivative filtering
KW - Shape optimization
KW - Simultaneous in- and out-plane regularization
UR - http://www.scopus.com/inward/record.url?scp=84887333125&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2013.10.015
DO - 10.1016/j.cma.2013.10.015
M3 - Article
AN - SCOPUS:84887333125
SN - 0045-7825
VL - 268
SP - 494
EP - 513
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
ER -