Eddy-resolving numerical scheme for simulation of turbulent incompressible flows

Abstract

The properties of existing numerical schemes for discretizing convective fluxes are exam ined. An alternative scheme is proposed that is formulated on the basis of normalized variable dia grams. The dissipation properties of this scheme are analyzed by simulating turbulent incompressible flows with the use of eddy resolving models. It is shown that the scheme does not lead to spurious oscillations and it is superior in dissipation properties to similar central difference schemes. For the scheme proposed, an LES model is calibrated for both free and near wall flows and the numerical solution of a plane channel flow problem is shown to converge by applying direct numerical simulation of turbulence.

An implicit algorithm of solving Navier–Stokes equations to simulate flows in anisotropic porous media

“…With 0   the given scheme becomes the first-order scheme, and with 1   it becomes a higher-order scheme. The description of discretization schemes for flows with convection can be found in [Kozelkov et al, 2015a[Kozelkov et al, , 2016aVolkov et al, 2014a;Kozelkov & Kurulin, 2015].…”

Simulation of Turbulent Convection at High Rayleigh Numbers

“…The method of large eddy LES (Large Eddy Simulation) makes it possible to obtain good results for both attached and detached flows and to substantially refine the prediction of a number of basic physical processes [8,9,21]. This approach can provide detailed information about nonstationary fields of fluctuations of velocity, temperature, and pressure, which in turn can influence the magnitude and nature of the boundary heat transfer.…”

“…For the LES calculation, a fully implicit scheme was used, increasing the accuracy of the calculation and allowing in a stable mode using a time step corresponding to the Courant number equal to unity. A description of the scheme is given in [9,21].…”

“…The BCD scheme is a scheme of limited central differences, where a diagram of normalized variable is used to formulate the restrictive condition, similarly to the GAMMA scheme [28]. The description of the scheme BCD is given in [9,21].…”

“…This package is the Russian software product of engineering analysis intended for solving conjugate three-dimensional problems of convective heat and mass transfer, aerodynamics, and hydrodynamics on parallel computers. The LOGOS software package has successfully passed the verification and has shown quite good results on a series of various hydrodynamic problems [8,9,17,22,23], including calculations of turbulent and nonstationary flows [20,21] and geophysical phenomena [24][25][26]. difference are characterized by the presence of different-scale vortex structures considering the main features of naturally convective flow and are widely used in engineering applications.…”