论文标题

非侵入性降低订单模型,以准确预测可压缩流体动力学中的分叉现象

Non-intrusive reduced order models for the accurate prediction of bifurcating phenomena in compressible fluid dynamics

论文作者

Tonicello, Niccolò, Lario, Andrea, Rozza, Gianluigi, Mengaldo, Gianmarco

论文摘要

目前的工作重点是研究可压缩流体动力学中的分叉溶液。一方面,使用不连续的Galerkin方法离散的可压缩Navier-Stokes方程的高保真模拟对问题的物理学进行了彻底研究。另一方面,从数值建模的角度来看,采用了两种不同的非侵入式降级建模技术来预测分叉的整体行为。即使在溶液特别不平滑的分叉点附近,这两种方法都与全阶模拟均具有良好的一致性。

The present works is focused on studying bifurcating solutions in compressible fluid dynamics. On one side, the physics of the problem is thoroughly investigated using high-fidelity simulations of the compressible Navier-Stokes equations discretised with the Discontinuous Galerkin method. On the other side, from a numerical modelling point of view, two different non-intrusive reduced order modelling techniques are employed to predict the overall behaviour of the bifurcation. Both approaches showed good agreement with full-order simulations even in proximity of the bifurcating points where the solution is particularly non-smooth.

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