Augmented proper orthogonal decomposition for problems with moving discontinuities

被引：11
|
作者：
Brenner, Thomas A. [1 ]
Fontenot, Raymond L. [1 ]
Cizmas, Paul G. A. [1 ]
O'Brien, Thomas J. [2 ]
Breault, Ronald W. [2 ]
机构：
[1] Texas A&M Univ, Dept Aerosp Engn, College Stn, TX 77843 USA
[2] US DOE, Natl Energy Technol Lab, Morgantown, WV 26507 USA
来源：
POWDER TECHNOLOGY | 2010年 / 203卷 / 01期
关键词：
Proper orthogonal decomposition; Reduced-order model; Multiphase flow; Morphology; REDUCED-ORDER MODELS;
D O I：
10.1016/j.powtec.2010.03.032
中图分类号：
TQ [化学工业];
学科分类号：
0817 ;
摘要：
A method is proposed to augment the proper orthogonal decomposition basis functions with discontinuity modes to better capture moving discontinuities in reduced-order models. Moving discontinuities can be shocks in unsteady gas flows or bubbles in multiphase flow. The method is shown to work for a simple test problem using the first-order wave equation. A method for detecting discontinuities numerically is developed using mathematical morphology. This method is shown to properly identify the edges of bubbles in multiphase flow. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：78 / 85
页数：8
相关论文
共 50 条
  • [1] A Krylov-based proper orthogonal decomposition method for elastodynamics problems with isogeometric analysis
    Liu, Xiaofei
    Wang, Hu
    Yu, Xiaolong
    Wang, Chengjing
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2021, 133 (133) : 71 - 83
  • [2] Analysing fluid loadings on moving bluff bodies using proper orthogonal decomposition
    Amandolèse, X
    Crémona, C
    JOURNAL OF FLUIDS AND STRUCTURES, 2005, 20 (04) : 577 - 587
  • [3] AN ANALYSIS OF GALERKIN PROPER ORTHOGONAL DECOMPOSITION FOR SUBDIFFUSION
    Jin, Bangti
    Zhou, Zhi
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2017, 51 (01): : 89 - 113
  • [4] Kosambi and Proper Orthogonal Decomposition
    Narasimha, Roddam
    RESONANCE-JOURNAL OF SCIENCE EDUCATION, 2011, 16 (06): : 574 - 581
  • [5] Nonlinear dimensionality reduction for parametric problems: A kernel proper orthogonal decomposition
    Diez, Pedro
    Muixi, Alba
    Zlotnik, Sergio
    Garcia-Gonzalez, Alberto
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 122 (24) : 7306 - 7327
  • [6] Optimal control of water flooding reservoir using proper orthogonal decomposition
    Sun, Xian-hang
    Xu, Ming-hai
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 320 : 120 - 137
  • [7] Limited-memory adaptive snapshot selection for proper orthogonal decomposition
    Oxberry, Geoffrey M.
    Kostova-Vassilevska, Tanya
    Arrighi, William
    Chand, Kyle
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2017, 109 (02) : 198 - 217
  • [8] Diagnostic analysis of moving-boundary annular gap flow by Proper Orthogonal Decomposition
    Li Y.
    Zhao Y.
    Song X.
    Shuili Xuebao/Journal of Hydraulic Engineering, 2022, 53 (12): : 1490 - 1499
  • [9] Reduced-order description of fluid flow with moving boundaries by proper orthogonal decomposition
    Utturkar, Y
    Zhang, BN
    Shyy, W
    INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 2005, 26 (02) : 276 - 288
  • [10] A new approach to proper orthogonal decomposition with difference quotients
    Eskew, Sarah Locke
    Singler, John R.
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2023, 49 (02)
12345