Results 261 to 270 of about 113,908 (298)
Some of the next articles are maybe not open access.
Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
SIAM Journal on Numerical Analysis, 2002Summary: Error estimates for Galerkin proper orthogonal decomposition (POD) methods for nonlinear parabolic systems arising in fluid dynamics are proved. For the time integration the backward Euler scheme is considered. The asymptotic estimates involve the singular values of the POD snapshot set and the grid-structure of the time discretization as well
Kunisch, K., Volkwein, S.
openaire +1 more source
AIAA Journal, 2018
A modified two-step method for aerodynamic shape optimization is proposed, where proper orthogonal decomposition and automatic domain-decomposition techniques are adopted to accelerate flow and adj...
Jichao Li, Jinsheng Cai, Kun Qu
openaire +1 more source
A modified two-step method for aerodynamic shape optimization is proposed, where proper orthogonal decomposition and automatic domain-decomposition techniques are adopted to accelerate flow and adj...
Jichao Li, Jinsheng Cai, Kun Qu
openaire +1 more source
Application of proper orthogonal decomposition methods in reactive pore diffusion simulations
The Canadian Journal of Chemical Engineering, 2014Reactive pore diffusion is an important process in automotive exhaust‐gas aftertreatment modelling the overall conversion of pollutants. It features highly nonlinear source terms from chemical reactions coupled with transport processes. This work examines the application of model reduction by proper orthogonal decomposition.
Martin Ullmann +4 more
openaire +1 more source
A Proper Orthogonal Decomposition Analysis Method for Multimedia Heat Conduction Problems
Journal of Heat Transfer, 2016In this paper, a new proper orthogonal decomposition (POD) analysis method is proposed for numerical analysis of thermal mechanical engineering problems consisting of multiple media. After the creation of a heat conduction solution database for each medium, the “snapshot” approach of the POD technique is applied to facilitate reduced-order modeling ...
Xiaowei Gao, Jinxiu Hu, Shizhang Huang
openaire +1 more source
Proper orthogonal decomposition truncation method for data denoising and order reduction
Experiments in Fluids, 2017Proper orthogonal decomposition (POD) is used widely in experimental fluid dynamics for reducing noise in a measured flow field. The efficacy of POD is governed by the selection of modes used for the velocity field reconstruction. Currently, the determination of which or how many modes to keep is a user-defined subjective choice, where an arbitrary ...
Melissa C. Brindise, Pavlos P. Vlachos
openaire +1 more source
Proper orthogonal decomposition methods for noise reduction in particle-based transport calculations
Physics of Plasmas, 2008Proper orthogonal decomposition techniques to reduce noise in the reconstruction of the distribution function in particle-based transport calculations are explored. For two-dimensional steady-state problems, the method is based on low rank truncations of the singular value decomposition of a coarse-grained representation of the particle distribution ...
D. del-Castillo-Negrete +2 more
openaire +1 more source
Comparative Study with Data Assimilation Experiments Using Proper Orthogonal Decomposition Method
2008In this work the POD approach to model reduction is used to construct a reduced-order control space for the simple one-dimensional transport equations. Several data assimilation experiments associated with these transport models are performed in the reduced control space.
Gabriel Dimitriu, Narcisa Apreutesei
openaire +1 more source
A Sequence Model Compression Method Based on Proper Orthogonal Decomposition
2023 3rd International Conference on Computer Science and Blockchain (CCSB), 2023Jianing Xue, Dakui Wu, Yajun Liu
openaire +1 more source