Efficient Reduced-Radial Basis Function-Based Mesh Deformation Within an Adjoint-Based Aerodynamic Optimization Framework

Poirier Vincent; Nadarajah Siva

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Efficient Reduced-Radial Basis Function-Based Mesh Deformation Within an Adjoint-Based Aerodynamic Optimization Framework

机译：基于伴随的空气动力学优化框架中基于有效的减少径向基函数的网格变形

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Mesh deformation schemes play an important role in numerical aerodynamic optimization. As the aerodynamic shape changes, the computational mesh must adapt to conform to the deformed geometry. This work presents an extension to an existing fast and robust radial basis function mesh movement scheme. Using a reduced set of surface points to define the mesh deformation increases the efficiency of the radial basis function method; however, it does so at the cost of introducing errors into the parameterization by not recovering the exact displacement of all surface points. A secondary mesh movement is implemented, within an adjoint-based optimization framework, to eliminate these errors. The mesh sensitivity is based on a combination of both the primary and secondary mesh movement schemes. The proposed scheme is demonstrated through three cases within a three-dimensional Euler flow: 1)the reduction of pressure drag at constant lift on the Onera M6 wing; 2) an inverse pressure design on the Onera M6; and 3) a drag minimization of the Boeing 747 wing-body aircraft.

机译：网格变形方案在数值空气动力学优化中起着重要作用。随着空气动力学形状的变化，计算网格必须适应变形的几何形状。这项工作提出了现有的快速和鲁棒的径向基函数网格运动方案的扩展。使用减少的一组表面点来定义网格变形可提高径向基函数方法的效率；但是，这样做的代价是无法恢复所有曲面点的精确位移，从而将误差引入了参数设置中。在基于伴随的优化框架内实现了辅助网格运动，以消除这些错误。网格灵敏度基于主要和次要网格运动方案的组合。通过在三维欧拉流中的三种情况证明了所提出的方案：1）在Onera M6机翼上以恒定升力降低压力阻力； 2）Onera M6的反压设计； 3）将波音747机翼飞机的阻力减至最小。

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《Journal of Aircraft》 |2016年第6期|1905-1921|共17页
作者
Poirier Vincent; Nadarajah Siva;
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作者单位

McGill Univ, Computat Fluid Dynam Lab, Dept Mech Engn, Montreal, PQ H3A 2S6, Canada|AIAA, Reston, VA 20191 USA;

McGill Univ, Computat Fluid Dynam Lab, Dept Mech Engn, Montreal, PQ H3A 2S6, Canada|AIAA, Reston, VA 20191 USA;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
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专利

1. Mesh deformation using radial basis functions for gradient-based aerodynamic shape optimization [J] . S. Jakobsson, O. Amoignon Computers & Fluids . 2007,第6期

机译：使用径向基函数进行网格变形以实现基于梯度的空气动力学形状优化
2. On mesh sensitivities and boundary formulas for discrete adjoint-based gradients in inviscid aerodynamic shape optimization [J] . Lozano Carlos Journal of Computational Physics . 2017,第期

机译：对杂交空气动力形状优化中离散伴随梯度的网状敏感性和边界公式
3. Approximate Hessian for accelerated convergence of aerodynamic shape optimization problems in an adjoint-based framework [J] . Doug Shi-Dong, Nadarajah Siva Computers & Fluids . 2018,第期

机译：基于伴随互动框架中的空气动力学优化问题的加速收敛性近似黑森州
4. Efficient RBF Mesh Deformation Within An Adjoint-Based Aerodynamic Optimization Framework [C] . Vincent Poirier, Siva K. Nadarajah AIAA aerospace sciences meeting including the new horizons forum and aerospace exposition . 2012

机译：基于伴随的空气动力学优化框架中的有效RBF网格变形
5. An Efficient Radial Basis Function Mesh Deformation Scheme within an Adjoint-Based Aerodynamic Optimization Framework. [D] . Poirier, Vincent. 2012

机译：基于伴随的空气动力学优化框架中的高效径向基函数网格变形方案。
6. Optimizing Cubature for Efficient Integration of Subspace Deformations [O] . Steven S. An, Theodore Kim, Doug L. James -1

机译：优化Clyature以实现子空间变形的高效集成
7. Adjoint-based aerodynamic shape optimization on unstructured meshes [O] . Carpentieri, G, Koren, B Barry, Tooren, van, MJL 2007

机译：非结构网格上基于伴随的空气动力学形状优化

Efficient Reduced-Radial Basis Function-Based Mesh Deformation Within an Adjoint-Based Aerodynamic Optimization Framework

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