Reduced-order modeling based on POD of a parabolized Navier-Stokes equation model I: forward model
نویسندگان
چکیده
منابع مشابه
Reduced-order modeling based on POD of a parabolized Navier–Stokes equation model I: forward model
A proper orthogonal decomposition (POD)-based reduced-order model of the parabolized Navier–Stokes (PNS) equations is derived in this article. A space-marching finite difference method with time relaxation is used to obtain the solution of this problem, from which snapshots are obtained to generate the POD basis functions used to construct the reduced-order model. In order to improve the accura...
متن کاملReduced order modeling based on POD of a parabolized Navier-Stokes equations model I : Forward Model
Juan Du, I.M. Navon2,∗,†, J.L. Steward, A.K. Alekseev, Zhendong Luo 1 School of Science, Beijing Jiaotong University, Beijing 100044, China. 2 Department of Scientific Computing, Florida State University, Tallahassee, FL 32306-4120, USA. 3 Moscow Institute of Physics and Technology, Moscow 141700, Russia. 4 School of Mathematics and Physics, North China Electric Power University, Beijing 102206...
متن کاملReduced order modeling based on POD of a parabolized Navier-Stokes equations model II: Trust region POD 4D VAR data assimilation
A reduced order model based on Proper Orthogonal Decomposition (POD) 4D VAR (Four-dimensional Variational) data assimilation for the parabolized Navier–Stokes (PNS) equations is derived. Various approaches of POD implementation of the reduced order inverse problem are studied and compared including an ad-hoc POD adaptivity along with a trust region POD adaptivity. The numerical results obtained...
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A discussion of reduced-order modeling for complex systems such as fluid flows is given to provide a context for the construction and application of reduced-order bases. Reviews of the POD (proper orthogonal decomposition) and CVT (centroidal Voronoi tessellation) approaches to reduced-order modeling are provided, including descriptions of POD and CVT reduced-order bases, their construction fro...
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ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Fluids
سال: 2011
ISSN: 0271-2091
DOI: 10.1002/fld.2606