Numerical analysis of the Leray reduced order model
نویسندگان
چکیده
منابع مشابه
Numerical Analysis and Computational Testing of a high accuracy Leray-deconvolution model of turbulence
We study a computationally attractive algorithm (based on an extrapolated CrankNickolson method) for a recently proposed family of high accuracy turbulence models (the Leray-deconvolution family). First we prove convergence of the algorithm to the solution of the Navier Stokes equations (NSE) and delineate its (optimal) accuracy. Numerical experiments are presented which confirm the convergence...
متن کاملNumerical Simulation and Parametric Reduced Order Modeling of the Natural Convection of Water-Copper Nanofluid
In this article, a coupled computational framework is presented for the numerical simulation of mass transfer under the effects of natural convection phenomena in a field contains water-copper Nano-fluid. This CFD model is build up based on accurate algorithms for spatial derivatives and time integration. The spatial derivatives have been calculated using first order upwind and second order cen...
متن کاملLeray and LANS−α modelling of turbulent mixing
Mathematical regularisation of the nonlinear terms in the Navier-Stokes equations provides a systematic approach to deriving subgrid closures for numerical simulations of turbulent flow. By construction, these subgrid closures imply existence and uniqueness of strong solutions to the corresponding modelled system of equations. We will consider the large eddy interpretation of two such mathemati...
متن کاملAnalytical and Numerical Studies on Hydromagnetic Flow of Boungiorno Model Nanofluid over a Vertical Plate
MHD boundary layer flow of two phase model nanofluid over a vertical plate is investigated both analytically and numerically. A system of governing nonlinear partial differential equations is converted into a set of nonlinear ordinary differential equations by suitable similarity transformations and then solved analytically using homotopy analysis method and numerically by the fourth order Rung...
متن کاملSpectral scaling of the Leray-α model for two-dimensional turbulence
We present data from high-resolution numerical simulations of the NavierStokes-α and the Leray-α models for two-dimensional turbulence. It was shown previously (Lunasin et al., J. Turbulence, 8, (2007), 751-778), that for wavenumbers k such that kα ≫ 1, the energy spectrum of the smoothed velocity field for the twodimensional Navier-Stokes-α (NS-α) model scales as k. This result is in agreement...
متن کاملذخیره 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 ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- J. Computational Applied Mathematics
دوره 328 شماره
صفحات -
تاریخ انتشار 2018