Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

被引：4

作者：

Li, Richen ^{[1
]}

Wu, Qingbiao ^{[1
]}

Zhu, Shengfeng ^{[2
,3
]}

机构：

[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Peoples R China

[2] East China Normal Univ, Sch Math Sci, Dept Data Math, Shanghai 200241, Peoples R China

[3] East China Normal Univ, Sch Math Sci, Shanghai Key Lab Pure Math & Math Practice, Shanghai 200241, Peoples R China

来源：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2021年 / 30卷 / 02期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

Isogeometric analysis; proper orthogonal decomposition; reduced order modelling; elastic wave; generalized-alpha method; SPECTRAL ELEMENT METHODS; DISPERSION ANALYSIS; STRUCTURAL DYNAMICS; FINITE-ELEMENTS; WAVE; APPROXIMATIONS;

D O I：

10.4208/cicp.OA-2020-0018

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider reduced order modelling of elastodynamics with proper orthogonal decomposition and isogeometric analysis, a recent novel and promising discretization method for partial differential equations. The generalized-alpha method for transient problems is used for additional flexibility in controlling high frequency dissipation. We propose a fully discrete scheme for the elastic wave equation with isogeometric analysis for spatial discretization, generalized-alpha method for time discretization, and proper orthogonal decomposition for model order reduction. Numerical convergence and dispersion are shown in detail to show the feasibility of the method. A variety of numerical examples in both 2D and 3D are provided to show the effectiveness of our method.

引用

页码：396 / 422

页数：27

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