非侵入式降阶建模加速设计和优化过程

Anna Ivagnes, N. Demo, G. Rozza
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引用次数: 0

摘要

降阶建模(ROM)提供了一种统一的方法来降低基于仿真的设计和优化问题的高计算成本。适当正交分解(POD)是一种通过组合有限的预计算数值解来高效、快速求解参数偏微分方程的约简技术。然而,非线性物理现象和复杂几何的应用可能需要进一步的数值处理,以保持所需的精度。在这篇文章中,我们将介绍几个应用实例,其中采用了基于pod的框架来减少船体和螺旋桨优化的计算负担。我们将讨论采用的变形技术,重点关注它们在ROM管道中的集成。然后,我们将介绍非侵入式POD框架,所谓的POD框架,因为它是一个仅依赖于数据的方法家族,允许更大的使用。最后一部分的贡献是致力于优化策略,其中遗传算法已被用于探索非凸解流形的简化模型。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Non-intrusive Reduced Order Modeling to Accelerate Design and Optimization Processes
Reduced order modeling (ROM) provides a consolidated approach to reduce the often high computational cost of simulation-based design and optimization problems. Proper orthogonal decomposition (POD) is a reduction technique that can be used for solving parametric PDEs in an efficient and fast way by combining a limited set of pre-computed numerical solutions. Its employment with nonlinear physics phenomena and complex geometries may require however further numerical treatments in order to keep the desired accuracy. In such a contribution, we will present several examples of applications where a POD-based framework has been adopted to reduce the computational burden of hull and propeller optimization. We will discuss the adopted deformation techniques, with a deep focus on their integration within the ROM pipeline. We will then present the non-intrusive POD frameworks, so-called since it is a family of methods that rely only on the data, allowing larger employment. The last part of the contribution is dedicated to the optimization strategy, where a genetic algorithm has been applied to explore the non-convex solution manifold of the reduced model.
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