POD Convergence Criterion For Numerically Solved Periodic Fluid Flows

نویسنده

  • MOHAMED H. AHMED
چکیده

Determining when a numerical simulation is fully converged is important in getting accurate and reliable results. In this study a new convergence criterion based on extracting the energetic modes of a numerical solution, based on the Proper Orthogonal Decomposition method, is suggested. The POD convergence criterion is tested and applied to flow over a bluff body which has been solved numerically. The higher the mode number, the longer it takes to converge. The results show that the singular values alone can be used to judge convergence based on POD numerical simulations. Also, the suggested POD convergence criterion can be applied successfully and easily to numerical simulations. Key-Words: Convergence, Pod, Numerical, Fluid, Periodic, Bluff

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

MULTI PHASE COMPUTATIONAL FLUID DYNAMICS MODELING OF CAVITATING FLOWS OVER AXISYMMETRIC HEAD-FORMS

 In the present paper, partial cavitation over various head-forms was studied numerically to predict the shape of the cavity. Navier-Stokes equations in addition to an advection equation for vapor volume fraction were solved. Mass transfer between the phases was modeled by a sink term in vapor equation in the numerical analysis for different geometries in wide range of cavitation numbers. The r...

متن کامل

Analysis of Transient Rivlin-Ericksen Fluid and Irreversibility of Exothermic Reactive Hydromagnetic Variable Viscosity

This study analyzes the unsteady Rivlin-Ericksen fluid and irreversibility of exponentially temperature dependent variable viscosity of hydromagnetic two-step exothermic chemical reactive flow along the channel axis with walls convective cooling. The non-Newtonian Hele-Shaw flow of Rivlin-Erickson fluid is driven by bimolecular chemical kinetic and unvarying pressure gradient. The reactive flui...

متن کامل

The Effects of Different SDE Calculus on Dynamics of Nano-Aerosols Motion in Two Phase Flow Systems

Langevin equation for a nano-particle suspended in a laminar fluid flow was analytically studied. The Brownian motion generated from molecular bombardment was taken as a Wiener stochastic process and approximated by a Gaussian white noise. Euler-Maruyama method was used to solve the Langevin equation numerically. The accuracy of Brownian simulation was checked by performing a series of simulati...

متن کامل

Viscoelastic Micropolar Convection Flows from an Inclined Plane with Nonlinear Temperature: A Numerical Study

An analytical model is developed to study the viscoelastic micropolar fluid convection from an inclined plate as a simulation of electro-conductive polymer materials processing with nonlinear temperature. Jeffery’s viscoelastic model is deployed to describe the non-Newtonian characteristics of the fluid and provides a good approximation for polymers. Micro-structural is one of the characteristi...

متن کامل

Trust-region Proper Orthogonal Decomposition for Flow Control

The proper orthogonal decomposition (POD) is a model reduction technique for the simulation of physical processes governed by partial differential equations, e.g. fluid flows. It can also be used to develop reduced order control models. Fundamental is the computation of POD basis functions that represent the influence of the control action on the system in order to get a suitable control model....

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004