Spectral proper orthogonal decomposition using multitaper estimates

نویسندگان

چکیده

The use of multitaper estimates for spectral proper orthogonal decomposition (SPOD) is explored. Multitaper and multitaper-Welch estimators that discrete prolate spheroidal sequences (DPSS) as data windows are compared to the standard SPOD algorithm exclusively relies on weighted overlapped segment averaging, or Welch's method, estimate cross-spectral density matrix. Two sets turbulent flow data, one experimental other numerical, used discuss choice resolution bandwidth bias-variance tradeoff. Multitaper-Welch combine both approaches by applying tapers overlapping segments allow flexible control resolution, variance, bias. At additional computational cost but same provide lower variance at fixed frequency higher similar algorithm.

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

Modeling and Control of Physical Processes using Proper Orthogonal Decomposition

Proper orthogonal decomposition (POD) technique (or the Karhunan Lo eve procedure) has been used to obtain low dimensional dynamical models of many applications in engineering and science. In principle, the idea is to start with an ensemble of data, called snapshots, collected from an experiment or a numerical procedure of a physical system. The POD technique is then used to produce a set of ba...

متن کامل

Numerical material representation using proper orthogonal decomposition and diffuse approximation

From numerical point of view, analysis and optimization in computational material engineering require efficient approaches for microstructure representation. This paper develops an approach to establish an image-based interpolation model in order to efficiently parameterize microstructures of a representative volume element (RVE), based on proper orthogonal decomposition (POD) reduction of dens...

متن کامل

Parameter Identification in Cardiac Electrophysiology Using Proper Orthogonal Decomposition Method

We consider the problem of estimating some parameters (like ionic models or parameters involved in the initial stimulation) of a model of electrocardiograms (ECG) from the data of the Einthoven leads. This problem can be viewed as a first attempt to identify or to locate a pathology. The direct model is based on the bidomain equations in the heart and a Poisson equation in the torso and. To kee...

متن کامل

Aeroelastic System Development Using Proper Orthogonal Decomposition and Volterra Theory

This research combines Volterra theory and proper orthogonal decomposition (POD) into a hybrid methodology for reduced-order modeling of aeroelastic systems. The outcome of the method is a set of linear ordinary differential equations (ODEs) describing the modal amplitudes associated with both the structural modes and the POD basis functions for the fluid. For this research, the structural mode...

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: Theoretical and Computational Fluid Dynamics

سال: 2022

ISSN: ['1432-2250', '0935-4964']

DOI: https://doi.org/10.1007/s00162-022-00626-x