A discontinuous Galerkin Method based on POD model reduction for Euler equation-Reference-Cited by-同舟云学术

A discontinuous Galerkin Method based on POD model reduction for Euler equation

Published:2024 Issue:1 Volume:19 Page:86-105
ISSN:1556-1801
Container-title:Networks and Heterogeneous Media
language:
Short-container-title:NHM

Author:

Zhu Lan¹,Xu Li¹²,Yin Jun-Hui¹,Huang Shu-Cheng¹,Li Bin¹

Affiliation:

1. National Key Laboratory of Science and Technology on Vacuum Electronics, School of Electronic Science and Engineering, University of Electronic Science and Technology of China, Chengdu, China

2. Shenzhen Institute for Advanced Study, UESTC Yinxing Zhijie Phase Ⅱ, Guanlan Street, Longhua District, Shenzhen, China

Abstract

<abstract> <p>This paper considers the work of combining the proper orthogonal decomposition (POD) reduced-order method with the discontinuous Galerkin (DG) method to solve three-dimensional time-domain Euler equations. The POD-DG formulation is established by constructing the POD base vector space, based on POD technology one can apply the Galerkin projection of the DG scheme to this dimension reduction space for calculation. Its overall goal is to overcome the disadvantages of high computational cost and memory requirement in the DG algorithm, reduce the degrees of freedom (DOFs) of the calculation model, and save the calculation time while ensuring acceptable accuracy. Numerical experiments verify these advantages of the proposed POD-DG method.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computer Science Applications,General Engineering,Statistics and Probability

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