Volume 5, Issue 3
Proper Orthogonal Decomposition Closure Models for Fluid Flows: Burgers Equation

OMER SAN AND TRAIAN ILIESCU

Int. J. Numer. Anal. Mod. B, 5 (2014), pp. 217-237

Published online: 2014-05

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  • Abstract
This paper puts forth several closure models for the proper orthogonal decomposition (POD) reduced order modeling of fluid flows. These new closure models, together with other standard closure models, are investigated in the numerical simulation of the Burgers equation. This simplified setting represents just the first step in the investigation of the new closure models. It allows a thorough assessment of the performance of the new models, including a parameter sensitivity study. Two challenging test problems displaying moving shock waves are chosen in the numerical investigation. The closure models and a standard Galerkin POD reduced order model are benchmarked against the fine resolution numerical simulation. Both numerical accuracy and computational effciency are used to assess the performance of the models.
  • AMS Subject Headings

35R35 49J40 60G40

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COPYRIGHT: © Global Science Press

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@Article{IJNAMB-5-217, author = {OMER SAN AND TRAIAN ILIESCU}, title = {Proper Orthogonal Decomposition Closure Models for Fluid Flows: Burgers Equation}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2014}, volume = {5}, number = {3}, pages = {217--237}, abstract = {This paper puts forth several closure models for the proper orthogonal decomposition (POD) reduced order modeling of fluid flows. These new closure models, together with other standard closure models, are investigated in the numerical simulation of the Burgers equation. This simplified setting represents just the first step in the investigation of the new closure models. It allows a thorough assessment of the performance of the new models, including a parameter sensitivity study. Two challenging test problems displaying moving shock waves are chosen in the numerical investigation. The closure models and a standard Galerkin POD reduced order model are benchmarked against the fine resolution numerical simulation. Both numerical accuracy and computational effciency are used to assess the performance of the models.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/231.html} }
TY - JOUR T1 - Proper Orthogonal Decomposition Closure Models for Fluid Flows: Burgers Equation AU - OMER SAN AND TRAIAN ILIESCU JO - International Journal of Numerical Analysis Modeling Series B VL - 3 SP - 217 EP - 237 PY - 2014 DA - 2014/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/231.html KW - Proper orthogonal decomposition (POD) KW - reduced order models (ROMs) KW - closure models for POD KW - Burgers equation KW - moving shock wave AB - This paper puts forth several closure models for the proper orthogonal decomposition (POD) reduced order modeling of fluid flows. These new closure models, together with other standard closure models, are investigated in the numerical simulation of the Burgers equation. This simplified setting represents just the first step in the investigation of the new closure models. It allows a thorough assessment of the performance of the new models, including a parameter sensitivity study. Two challenging test problems displaying moving shock waves are chosen in the numerical investigation. The closure models and a standard Galerkin POD reduced order model are benchmarked against the fine resolution numerical simulation. Both numerical accuracy and computational effciency are used to assess the performance of the models.
OMER SAN AND TRAIAN ILIESCU. (2014). Proper Orthogonal Decomposition Closure Models for Fluid Flows: Burgers Equation. International Journal of Numerical Analysis Modeling Series B. 5 (3). 217-237. doi:
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