Mesh deformation strategy optimized by the adjoint method on unstructured meshes

作     者：Yang, Zhi Mavriplis, Dirnitri J. 

作者机构：Univ Wyoming Dept Mech Engn Laramie WY 82071 USA 

出 版 物：《AIAA JOURNAL》 (美国航空航天学会志)

年 卷 期：2007年第45卷第12期

页      面：2885-2896页

核心收录：

学科分类：08[工学] 0825[工学-航空宇航科学与技术] 

基　　金：Langley Research Center  LaRC 

主　　题：DEFORMATIONS (Mechanics) STRUCTURAL failures MATHEMATICAL optimization ROBUST control ELASTICITY SIMULATION methods 

摘      要：An adjoint-based optimization procedure is proposed for improving the robustness and extending the range of linear-elasticity-based mesh deformation techniques. Using the values of the modulus of elasticity E defined in each mesh cell as the design variables, the procedure seeks to determine an optimum distribution of E throughout the mesh, to minimize a global objective function that reflects the skewness or lack of quality of the deformed mesh. The technique is applied to highly stretched mixed element meshes in two and three dimensions on complex geometries and is shown to be capable of recovering a valid mesh in a small number of optimization cycles for cases in which the nonoptimized linear-elasticity approach fails. However, the solution of the optimization problem remains relatively costly in terms of CPU time, compared with a nonoptimized mesh deformation calculation, making this technique best suited for precomputing improved E distributions before the simulation or for use as a plug-in module to be invoked in cases in which the nonoptimized procedure fails.