A continuous adjoint formulation for the computation of topological and surface sensitivities of ducted flows Export

@article{citeulike:2918062, abstract = {Topology optimization of fluid dynamic systems is a comparatively young optimal design technique. Its central ingredient is the computation of topological sensitivity maps. Whereas, for finite element solvers, implementations of such sensitivity maps have been accomplished in the past, this study focuses on providing this functionality within a professional finite volume computational fluid dynamics solver. On the basis of a continuous adjoint formulation, we derive the adjoint equations and the boundary conditions for typical cost functions of ducted flows and present first results for two- and three-dimensional geometries. Emphasis is placed on the versatility of our approach with respect to changes in the objective function. We further demonstrate that surface sensitivity maps can also be computed with the implemented functionality and establish their connection with topological sensitivities. Copyright {\copyright} 2008 John Wiley \& Sons, Ltd.}, address = {Institute of Scientific Computing, Technical University of Braunschweig, Braunschweig, Germany}, author = {Othmer, C.}, citeulike-article-id = {2918062}, citeulike-linkout-0 = {http://dx.doi.org/10.1002/fld.1770}, citeulike-linkout-1 = {http://www3.interscience.wiley.com/cgi-bin/abstract/117927919/ABSTRACT}, doi = {10.1002/fld.1770}, journal = {International Journal for Numerical Methods in Fluids}, keywords = {2008, adjoint-method, aerodynamic-optimisation, aerodynamic-topology-optimisation, aerodynamics, continuous-adjoint, finite-volume-method, fluid-mechanics, navier-stokes, optimisation, topology, topology-optimisation, variational-problem}, number = {9999}, pages = {n/a+}, posted-at = {2008-06-23 12:20:41}, priority = {5}, title = {A continuous adjoint formulation for the computation of topological and surface sensitivities of ducted flows}, url = {http://dx.doi.org/10.1002/fld.1770}, volume = {9999}, year = {2008} }

TY - JOUR ID - citeulike:2918062 L3 - citeulike-article-id:2918062 N2 - Topology optimization of fluid dynamic systems is a comparatively young optimal design technique. Its central ingredient is the computation of topological sensitivity maps. Whereas, for finite element solvers, implementations of such sensitivity maps have been accomplished in the past, this study focuses on providing this functionality within a professional finite volume computational fluid dynamics solver. On the basis of a continuous adjoint formulation, we derive the adjoint equations and the boundary conditions for typical cost functions of ducted flows and present first results for two- and three-dimensional geometries. Emphasis is placed on the versatility of our approach with respect to changes in the objective function. We further demonstrate that surface sensitivity maps can also be computed with the implemented functionality and establish their connection with topological sensitivities. Copyright © 2008 John Wiley & Sons, Ltd. IS - 9999 JF - International Journal for Numerical Methods in Fluids AD - Institute of Scientific Computing, Technical University of Braunschweig, Braunschweig, Germany TI - A continuous adjoint formulation for the computation of topological and surface sensitivities of ducted flows VL - 9999 SP - n/a KW - 2008 KW - adjoint-method KW - aerodynamic-optimisation KW - aerodynamic-topology-optimisation KW - aerodynamics KW - continuous-adjoint KW - finite-volume-method KW - fluid-mechanics KW - navier-stokes KW - optimisation KW - topology KW - topology-optimisation KW - variational-problem AU - Othmer, C PY - 2008/// UR - http://dx.doi.org/10.1002/fld.1770 ER -