On the treatment of high-frequency issues in numerical simulation for dynamic systems by model order reduction via the proper orthogonal decomposition

R. Deokar, M. Shimada, C. Lin, K. K. Tamma

研究成果: Article同行評審

11 引文 斯高帕斯(Scopus)

摘要

A new numerical strategy to remedy high-frequency issues caused by finite element discretization in structural dynamic problems has been proposed. A noteworthy characteristic of this advocated approach is that it is based upon the use of the proper orthogonal decomposition (POD) incorporated in conjunction with implicit or explicit numerically non-dissipative time integration schemes to substantially improve or eliminate undesirable effects due to high-frequency instabilities. Original systems with high-frequency issues are reduced via POD based on an adequate choice of a numerically dissipative scheme so that the resulting reduced systems contain no high-frequency participation. This approach confers the inherent advantages that numerically non-dissipative mechanical integrators, e.g., energy–momentum conserving or variational integrators, can be used to solve the reduced systems, fulfilling the requisite conservation laws in the projected basis and therefore provides a robust simulation. Linear and nonlinear numerical applications are shown to demonstrate the benefits and feasibility of this technique.

原文English
頁(從 - 到)139-154
頁數16
期刊Computer Methods in Applied Mechanics and Engineering
325
DOIs
出版狀態Published - 2017 10月 1

All Science Journal Classification (ASJC) codes

  • 計算力學
  • 材料力學
  • 機械工業
  • 物理與天文學 (全部)
  • 電腦科學應用

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