TY - JOUR
T1 - In-plane mesh regularization for node-based shape optimization problems
AU - Stavropoulou, Electra
AU - Hojjat, Majid
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 Workflows for Highly Effective Automotive Development Processes), from February 2009 to January 2012.
PY - 2014/6/15
Y1 - 2014/6/15
N2 - In this contribution a global and linear method for controlling the surface mesh quality during node-based shape optimization is presented. In this method, an artificial stress is applied on the surface mesh and the global linear system of equations is solved for the equilibrium state by finite elements. The applied stress adapts each element towards a desired predefined template geometry and at the end a globally smooth mesh is achieved. In this way both the shape and the size of each element is controlled. Some examples, as well as possible fields of application are shown. At the end, the strength of the method in shape optimization of computational fluid dynamics problems is described.
AB - In this contribution a global and linear method for controlling the surface mesh quality during node-based shape optimization is presented. In this method, an artificial stress is applied on the surface mesh and the global linear system of equations is solved for the equilibrium state by finite elements. The applied stress adapts each element towards a desired predefined template geometry and at the end a globally smooth mesh is achieved. In this way both the shape and the size of each element is controlled. Some examples, as well as possible fields of application are shown. At the end, the strength of the method in shape optimization of computational fluid dynamics problems is described.
KW - Aerodynamic shape optimization
KW - CAD-free
KW - In-plane regularization
KW - Mesh smoothing
KW - Node-based
UR - http://www.scopus.com/inward/record.url?scp=84897441671&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2014.02.013
DO - 10.1016/j.cma.2014.02.013
M3 - Article
AN - SCOPUS:84897441671
SN - 0045-7825
VL - 275
SP - 39
EP - 54
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
ER -