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Separated response surfaces for flows in parametrised domains: Comparison of a priori and a posteriori PGD algorithms

机译：参数化域中流动的分离响应曲面：先验和后验PGD算法的比较

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摘要

Reduced order models (ROM) are commonly employed to solve parametric problems and to devise inexpensive response surfaces to evaluate quantities of interest in real-time. There are many families of ROMs in the literature and choosing among them is not always a trivial task. This work presents a comparison of the performance of a priori and a posteriori proper generalised decomposition (PGD) algorithms for an incompressible Stokes flow problem in a geometrically parametrised domain. This problem is particularly challenging as the geometric parameters affect both the solution manifold and the computational spatial domain. The difficulty is further increased because multiple geometric parameters are considered and extended ranges of values are analysed for the parameters and this leads to significant variations in the flow features. Using a set of numerical experiments involving geometrically parametrised microswimmers, the two PGD algorithms are extensively compared in terms of their accuracy and their computational cost, expressed as a function of the number of full-order solves required.
机译：常用的订单模型（ROM）通常用于解决参数问题并设计廉价的响应表面，以实时评估兴趣的数量。文学中有很多罗马家庭，其中选择它们并不总是一个微不足道的任务。该工作介绍了在几何参数化域中的不可压缩的ZOKE流量问题的先验和后验相似的分解（PGD）算法的性能的比较。当几何参数影响解决方案歧管和计算空间域时，这个问题特别具有挑战性。由于考虑多个几何参数并且对参数分析了多个几何参数并且对参数进行了扩展范围的难度，这导致流量特征的显着变化。使用涉及几何参数化的微大威姆默的一组数值实验，在其准确性和计算成本方面，两种PGD算法被广泛地进行了广泛的比较，其表示作为所需的全阶求解数量的函数。

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  • 来源
    《Finite elements in analysis & design》 |2021年第11期|103530.1-103530.30|共30页
  • 作者

    Giacomini Matteo; Borchini Luca; Sevilla Ruben; Huerta Antonio;

  • 作者单位

    Univ Politecn Cataluna ETS Ingn Caminos Canales & Puertos Lab Calcul Numer LaCaN Barcelona Spain|Int Ctr Numer Methods Engn CIMNE Barcelona Spain;

    Univ Politecn Cataluna ETS Ingn Caminos Canales & Puertos Lab Calcul Numer LaCaN Barcelona Spain|Swansea Univ Fac Sci & Engn Zienkiewicz Ctr Computat Engn Bay Campus Swansea SA1 8EN Wales;

    Swansea Univ Fac Sci & Engn Zienkiewicz Ctr Computat Engn Bay Campus Swansea SA1 8EN Wales;

    Univ Politecn Cataluna ETS Ingn Caminos Canales & Puertos Lab Calcul Numer LaCaN Barcelona Spain|Int Ctr Numer Methods Engn CIMNE Barcelona Spain;

  • 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
  • 中图分类
  • 关键词

    Reduced order models; A priori; A posteriori; Proper generalised decomposition; Response surfaces; Geometry parametrisation;

    机译：减少订单模型;先验;后验;适当的广义分解;响应表面;几何参数化;

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