论文标题
剩余数据驱动的变异多尺度减少订单模型，用于参数依赖性问题
Residual Data-Driven Variational Multiscale Reduced Order Models for Parameter Dependent Problems
论文作者
论文摘要
在本文中，我们研究了适当的正交分解的亚尺度组件的建模，降低了对流为主流的订单模型（POD-ROM）。我们提出了依赖ROM残差的ROM闭合模型。我们说明了变异多尺度（VMS）框架内的新的基于残差的数据驱动的ROM闭合，并在对一维参数依赖性对流为主的对流扩散问题的数值模拟中进行了调查。为了进行比较，我们还研究了简化的上线彼得罗夫 - 加盖尔金（SUPG）ROM稳定策略和标准的Galerkin ROM（G-ROM）。我们的数值研究表明，新的基于数据驱动的数据驱动的VMS-ROM比标准G-ROM和SUPG-ROM更准确。
In this paper, we investigate the modeling of sub-scale components of proper orthogonal decomposition reduced order models (POD-ROMs) of convection-dominated flows. We propose ROM closure models that depend on the ROM residual. We illustrate the new residual-based data-driven ROM closure within the variational multiscale (VMS) framework and investigate it in the numerical simulation of a one-dimensional parameter-dependent convection-dominated convection-diffusion problem. For comparison purposes, we also investigate a streamline-upwind Petrov-Galerkin (SUPG) ROM stabilization strategy and the standard Galerkin ROM (G-ROM). Our numerical investigation shows that the new residual-based data-driven VMS-ROM is more accurate than both the standard G-ROM and the SUPG-ROM.
