Multilevel Algorithm for Obtaining the Proper Orthogonal Decomposition

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Artificial viscosity proper orthogonal decomposition

We introduce improved reduced-order models for turbulent flows. These models are inspired from successful methodologies used in large eddy simulation, such as artificial viscosity, applied to standardmodels created by proper orthogonal decomposition of flows coupled with Galerkin projection. As a first step in the analysis and testing of our new methodology, we use the Burgers equation with a s...

متن کامل

Proper orthogonal decomposition & kriging strategies for design

Future Work Conclusions The aim of the following research is to therefore remove this obstacle to the application of kriging whilst developing a strategy for use at higher dimensions. The goal of an initial investigation was therefore to determine if these hyperparameters should be tuned after every update, and to what degree they should be tuned, in order for the model to remain effective. Thi...

متن کامل

Proper Orthogonal Decomposition for Optimality Systems

Proper orthogonal decomposition (POD) is a powerful technique for model reduction of non–linear systems. It is based on a Galerkin type discretization with basis elements created from the dynamical system itself. In the context of optimal control this approach may suffer from the fact that the basis elements are computed from a reference trajectory containing features which are quite different ...

متن کامل

An introduction to the proper orthogonal decomposition

A tutorial is presented on the Proper Orthogonal Decomposition (POD), which finds applications in computationally processing large amounts of high-dimensional data with the aim of obtaining low-dimensional descriptions that capture much of the phenomena of interest. The discrete version of the POD, which is the singular value decomposition (SVD) of matrices, is described in some detail. The con...

متن کامل

A New Look at Proper Orthogonal Decomposition

We investigate some basic properties of the proper orthogonal decomposition (POD) method as it is applied to data compression and model reduction of finite dimensional nonlinear systems. First we provide an analysis of the errors involved in solving a nonlinear ODE initial value problem using a POD reduced order model. Then we study the effects of small perturbations in the ensemble of data fro...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: AIAA Journal

سال: 2018

ISSN: 0001-1452,1533-385X

DOI: 10.2514/1.j056807