Eect of Various Approximations of the Discrete Adjoint on Gradient-Based Optimization
Eect of Various Approximations of the Discrete Adjoint on Gradient-Based Optimization
复制标题
离散伴随的各种近似对基于梯度的优化的影响
DOI：
10.2514/6.2006-690
复制
发表时间：
2006
期刊：
影响因子：
2.5
通讯作者：
Joel Brezillon
中科院分区：
文献类型：
--
作者：
R. Dwight;Joel Brezillon
RANS 方程的非结构化有限体积求解器的精确离散伴随已经被开发出来。伴随式是精确的，因为它基于求解器中所有项的完全线性化，包括所有湍流模型贡献。从这个起点出发，推导出伴随函数的各种近似值，目的是简化该方法的开发和内存要求；考虑了文献中已经出现的许多近似值。研究了这些近似对所得设计梯度的准确性的影响，以及优化的收敛和最终解决方案，因为它适用于二维高升力配置。
An exact discrete adjoint of an unstructured nite-v olume solver for the RANS equations has been developed. The adjoint is exact in the sense of being based on the full linearization of all terms in the solver, including all turbulence model contributions. From this starting point various approximations to the adjoint are derived with the intention of simplifying the development and memory requirements of the method; considered are many approximations already seen in the literature. The eect of these approximations on the accuracy of the resulting design gradients, and the convergence and nal solution of optimizations is studied, as it applies to a two-dimensional high-lift conguration.