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Field to Field coupled Fluid Structure Interaction: A Reduced Order Model study
International Journal for Numerical Methods in Engineering ( IF 2.7 ) Pub Date : 2020-10-31 , DOI: 10.1002/nme.6525
Alexis Tello 1 , Ramon Codina 1, 2
Affiliation  

The standard Fluid-Structure Interaction (FSI) coupling, that uses as unknowns velocity and pressure for the fluid and displacements for the solid, is compared against two novel types of coupling, the first one a three-field coupling (velocity–pressure–stress/displacement–pressure–stress) introduced by the authors in a recent work, and a two-field coupling (velocity–pressure/displacement–pressure) introduced in this paper, in this way completing our set of Field to Field (F2F) equations, all stabilized by means of the Variational Multi-Scale (VMS) method using dynamic and orthogonal sub-scales. The solid two-field FSI coupling formulation is benchmarked statically and dynamically. Proper Orthogonal Decomposition (POD) is applied to all three FSI formulations to obtain reduced basis and asses their performance in a reduced space. Numerical tests are shown comparing all three formulations. By correctly resolving the Cauchy stress tensor, the three-field FSI coupling proves to provide more accurate results in both Full Order Model (FOM) and Reduced Order Model (ROM) spaces than its counterparts for a similar number of degrees of freedom, making it a reliable formulation. F2F pairing appears to be beneficial, providing more accurate results in all cases shown; mixed pairing with a three-field formulation in the solid appears to produce very precise results as well. Copyright c © 0000 John Wiley & Sons, Ltd.

中文翻译:

场到场耦合的流体结构相互作用:降阶模型研究

将标准的流固耦合 (FSI) 耦合用作流体的未知速度和压力以及固体的位移,将其与两种新型耦合进行比较,第一种是三场耦合(速度-压力-应力) /位移-压力-应力)由作者在最近的工作中引入,以及本文中引入的双场耦合(速度-压力/位移-压力),以这种方式完成我们的场到场(F2F)方程组,所有这些都通过使用动态和正交子尺度的变分多尺度 (VMS) 方法稳定下来。固体双场 FSI 耦合公式进行了静态和动态基准测试。适当的正交分解 (POD) 应用于所有三个 FSI 公式,以获得简化的基础并评估它们在缩小的空间中的性能。显示了比较所有三种配方的数值试验。通过正确解析柯西应力张量,三场 FSI 耦合被证明在全阶模型 (FOM) 和降阶模型 (ROM) 空间中提供比其对应的类似自由度数更准确的结果,使其成为可靠的配方。F2F 配对似乎是有益的,在所示的所有情况下都能提供更准确的结果;与固体中的三场公式混合配对似乎也能产生非常精确的结果。版权所有 c © 0000 John Wiley & Sons, Ltd. 事实证明,三场 FSI 耦合在全阶模型 (FOM) 和降阶模型 (ROM) 空间中提供比类似数量的自由度的对应项更准确的结果,使其成为可靠的公式。F2F 配对似乎是有益的,在所示的所有情况下都能提供更准确的结果;与固体中的三场公式混合配对似乎也能产生非常精确的结果。版权所有 c © 0000 John Wiley & Sons, Ltd. 事实证明,三场 FSI 耦合在全阶模型 (FOM) 和降阶模型 (ROM) 空间中提供比类似数量的自由度的对应项更准确的结果,使其成为可靠的公式。F2F 配对似乎是有益的,在所示的所有情况下都能提供更准确的结果;与固体中的三场公式混合配对似乎也能产生非常精确的结果。版权所有 c © 0000 John Wiley & Sons, Ltd.
更新日期:2020-10-31
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