Imposing C0 and C1 continuity constraints during CAD-based adjoint optimization,International Journal for Numerical Methods in Fluids

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Imposing C0 and C1 continuity constraints during CAD-based adjoint optimization
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2021-03-28 , DOI: 10.1002/fld.4983
Marios G. Damigos ₁ , Eugene De Villiers ₂

Affiliation

This article presents a method for performing adjoint-based aerodynamic shape optimization by manipulating the standard CAD geometry of the shape to be optimized. A standard CAD file gives access to the boundary representation (BRep) of the shape and consequently its boundary surfaces which are usually trimmed patches. This is a sensible choice as the open format of such files is a requirement for the computation of the shape derivatives. The method addresses the continuity issues that emerge during the update of the shape by imposing up to C₁ constraints between different CAD patches. A parameterization scheme based on NURBS surfaces is then defined, in which the aforementioned constraints are inherently satisfied. The proposed method is firstly demonstrated in a simple geometric case and then in the full-scale optimization of industrial-like cases such as the S-section of a cooling duct and the tail surface of a passenger car.

中文翻译：

在基于 CAD 的伴随优化过程中施加 C0 和 C1 连续性约束

本文提出了一种通过操纵要优化的形状的标准 CAD 几何形状来执行基于伴随的空气动力学形状优化的方法。标准 CAD 文件可以访问形状的边界表示 (BRep)，因此可以访问其边界表面，这些表面通常是修剪过的补丁。这是一个明智的选择，因为此类文件的开放格式是计算形状导数的要求。该方法通过强加C ₁来解决形状更新过程中出现的连续性问题不同 CAD 补丁之间的约束。然后定义基于 NURBS 曲面的参数化方案，其中上述约束条件是内在满足的。所提出的方法首先在一个简单的几何案例中进行了演示，然后在类似工业的案例（例如冷却管道的 S 截面和客车的尾部表面）中进行了全面优化。

更新日期：2021-03-28

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