CFD shape optimization using an incomplete-gradient adjoint formulation Export

@article{citeulike:1365907, abstract = {A design methodology based on the adjoint approach for flow problems governed by the incompressible Euler equations is presented. The main feature of the algorithm is that it avoids solving the adjoint equations, which saves an important amount of CPU time. Furthermore, the methodology is general in the sense it does not depend on the geometry representation. All the grid points on the surface to be optimized can be chosen as design parameters. In addition, the methodology can be applied to any type of mesh. The partial derivatives of the flow equations with respect to the design parameters are computed by finite differences. In this way, this computation is independent of the numerical scheme employed to obtain the flow solution. Once the design parameters have been updated, the new solid surface is obtained with a pseudo-shell approach in such a way that local singularities, which can degrade or inhibit the convergence to the optimal solution, are avoided. Some 2D and 3D numerical examples are shown to demonstrate the proposed methodology. Copyright {\copyright} 2001 John Wiley \& Sons, Ltd.}, address = {SCS/Laboratory for Computational Fluid Dynamics, George Mason University, MS 4C7, 4400 University Drive, Fairfax, VA 22030-4444, U.S.A.}, author = {Soto, O. and L\"{o}hner, R.}, citeulike-article-id = {1365907}, citeulike-linkout-0 = {http://dx.doi.org/10.1002/nme.207}, citeulike-linkout-1 = {http://www3.interscience.wiley.com/cgi-bin/abstract/78503936/ABSTRACT}, doi = {10.1002/nme.207}, journal = {International Journal for Numerical Methods in Engineering}, number = {6}, pages = {735--753}, posted-at = {2009-10-27 06:27:14}, priority = {2}, title = {CFD shape optimization using an incomplete-gradient adjoint formulation}, url = {http://dx.doi.org/10.1002/nme.207}, volume = {51}, year = {2001} }

TY - JOUR ID - citeulike:1365907 L3 - citeulike-article-id:1365907 N2 - A design methodology based on the adjoint approach for flow problems governed by the incompressible Euler equations is presented. The main feature of the algorithm is that it avoids solving the adjoint equations, which saves an important amount of CPU time. Furthermore, the methodology is general in the sense it does not depend on the geometry representation. All the grid points on the surface to be optimized can be chosen as design parameters. In addition, the methodology can be applied to any type of mesh. The partial derivatives of the flow equations with respect to the design parameters are computed by finite differences. In this way, this computation is independent of the numerical scheme employed to obtain the flow solution. Once the design parameters have been updated, the new solid surface is obtained with a pseudo-shell approach in such a way that local singularities, which can degrade or inhibit the convergence to the optimal solution, are avoided. Some 2D and 3D numerical examples are shown to demonstrate the proposed methodology. Copyright © 2001 John Wiley & Sons, Ltd. IS - 6 JF - International Journal for Numerical Methods in Engineering AD - SCS/Laboratory for Computational Fluid Dynamics, George Mason University, MS 4C7, 4400 University Drive, Fairfax, VA 22030-4444, U.S.A. EP - 753 TI - CFD shape optimization using an incomplete-gradient adjoint formulation VL - 51 SP - 735 AU - Soto, O AU - Löhner, R PY - 2001/// UR - http://dx.doi.org/10.1002/nme.207 ER -