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.