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首页> 外文会议>In: AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, 7th, St. Louis, MO, Sept. 2-4, 1998, Collection of Technical Papers. Pt. 3 (A98-39701 10-31), Reston, VA, American Institute of Aeronautics and Astronautics, 1998 >Continuous adjoint sensitivities for general cost functionals on unstructured meshes in aerodynamic shape optimization
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Continuous adjoint sensitivities for general cost functionals on unstructured meshes in aerodynamic shape optimization

机译：空气动力学形状优化中非结构化网格上一般成本函数的连续伴随灵敏度

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A continuous adjoint approach is developed to obtain the sensitivity derivatives for the Euler equations. ^The complete derivation of the costate equations and their transversality (boundary) conditions are presented. ^Both the state and the costate equations are second-order finite-volume discretized for unstructured meshes, and they are coupled with a constrained optimization algorithm. ^Also integrated into the overall methodology are a geometry parameterization method for the shape optimization and a dynamic unstructured mesh method for the shape evolution and the consequent volume mesh adaptations. ^For the proof-of-concept, three transonic airfoil optimization problems are presented. ^These results should establish the accuracy of the obtained sensitivity derivatives and the efficiency with which the optimized shapes are obtained on a desktop PC. ^It is also shown that this method accepts general cost functionals, which are not necessarily functions of pressure only, and they are valid across shocks. ^(Author)
机译：开发了一种持续伴随方法以获得欧拉方程的灵敏度衍生物。 ^展示了成本速度方程的完整导出及其横向（边界）条件。 ^状态和成本速度方程都是针对非结构化网格离散化的二阶有限体积，并且它们与受约束的优化算法耦合。 ^还集成到整体方法中是一种用于形状优化的几何参数化方法，以及用于形状演化的动态非结构化网格方法和随后的卷网格适应。 ^对于概念验证，提出了三个跨音翼型优化问题。 ^这些结果应建立所获得的灵敏度衍生物的准确性和在台式机上获得优化的形状的效率。 ^还表明，该方法接受一般成本函数，这不一定仅函数压力，并且它们跨越冲击。 ^（作者）

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