An Adaptive Time Filtered Backward Euler Method for Reduced-Order Models of Incompressible Flows

IF 1 Q3 MULTIDISCIPLINARY SCIENCES

gazi university journal of science Pub Date : 2022-09-16 DOI:10.35378/gujs.904961

Fatma GÜLER EROĞLU

引用次数: 0

Abstract

This paper studies a reduced-order model based on proper orthogonal decomposition (POD) for the incompressible Navier-Stokes equations. The difficulties resulting from nonlinearity are eliminated using the variational multiscale (VMS) method. The time filter is added as a separate post-processing step to the standard VMS-POD approximation. This increases the accuracy and presents a better energy preserving scheme without adding additional computational complexity. Theoretical analyses of the method are given. Numerical experiments are presented to verify the theoretical findings.

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不可压缩流降阶模型的自适应时间滤波后向Euler方法

本文研究了不可压缩Navier-Stokes方程的一个基于适当正交分解的降阶模型。利用变分多尺度（VMS）方法消除了非线性带来的困难。时间滤波器作为单独的后处理步骤添加到标准VMS-POD近似中。这提高了精度，并在不增加额外计算复杂性的情况下提供了更好的能量保持方案。对该方法进行了理论分析。数值实验验证了理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

gazi university journal of science MULTIDISCIPLINARY SCIENCES-

CiteScore

1.60

自引率

11.10%

发文量

期刊介绍： The scope of the “Gazi University Journal of Science” comprises such as original research on all aspects of basic science, engineering and technology. Original research results, scientific reviews and short communication notes in various fields of science and technology are considered for publication. The publication language of the journal is English. Manuscripts previously published in another journal are not accepted. Manuscripts with a suitable balance of practice and theory are preferred. A review article is expected to give in-depth information and satisfying evaluation of a specific scientific or technologic subject, supported with an extensive list of sources. Short communication notes prepared by researchers who would like to share the first outcomes of their on-going, original research work are welcome.