Academic
Publications
Subgrid scale model for finite difference simulations of turbulent flows in plane channels and annuli

Subgrid scale model for finite difference simulations of turbulent flows in plane channels and annuli,10.1016/0021-9991(75)90093-5,Journal of Computat

Subgrid scale model for finite difference simulations of turbulent flows in plane channels and annuli   (Citations: 315)
BibTex | RIS | RefWorks Download
High Reynolds number turbulent flows of incompressible fluids in plane channels and annuli are simulated using a finite difference procedure which integrates the Navier- Stokes equations in time and in three-dimensional space. This paper describes the finite difference procedure and the subgrid scale (SGS) motion model. The model differs from earlier ones in the following points. The finite difference equations are based on integral conservation equations for each grid volume. As a consequence the SGS stresses are defined as surface mean rather than grid volume mean values of the fluctuating velocity products. This allows us to identify and model the effects of anisotropic grids (especially unequally sided grid volumes) and anisotropic finite difference operators. In this model SGS stresses are split into two parts, one accounting for locally isotropic turbulence, the other for inhomogeneous effects. This results in a model which is meaning- ful even if the size of the grid volumes is very large. The SGS kinetic energy is calculated using a separate transport equation. The boundary conditions are formulated in a manner consistent with the SGS theory. The method may be used for plane channels and annuli as well, and has been used to simulate flows with up to 65,536 grid volumes. The results agree rather well with experimental values, even for a smaller number of grid volumes.
Journal: Journal of Computational Physics - J COMPUT PHYS , vol. 18, no. 4, pp. 376-404, 1975
Cumulative Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
    • ...The traditional method of finding the SFS energy in LES is by a one-equation model (Schumann 1975; Deardorff 1980; Moeng 1984; Shaw and Schumann 1992; Carati et al. 1995; Ghosal et al. 1995), which consists of solving the rate equation for e numerically after modelling unknown terms...
    • ...Existing models for the SFS energy have inherent limitations such as the high computational cost of the one-equation model (Schumann 1975; Deardorff 1980; Moeng 1984; Shaw and Schumann 1992; Carati et al. 1995; Ghosal et al. 1995), or the inability to produce a local prediction of the SFS energy, in the case of dissipation-based models (Misra and Pullin 1997; Voelkl et al. 2000; Pullin 2000; Meyers and Baelmans 2004)...

    Scott T. Saleskyet al. A Similarity Model of Subfilter-Scale Energy for Large-Eddy Simulation...

    • ...elling constant. The one-equation SGS model (Schumann 1975) was employed in which the SGS turbulence kinetic energy (TKE) kSG S conservation was calculated by solving its transport equation...

    W. C. Chenget al. Large-Eddy Simulation of Flow and Pollutant Transports in and Above Tw...

    • ...Schumann 1975, Fureby 1999, Krajnović et al...

    Xian-Xiang Liet al. Parallel FEM LES with one-equation subgrid-scale model for incompressi...

    • ...This can range from a loglaw approximation [22] to a solution of a system of simplified equations in the near wall region [4]...
    • ...Schumann [22] proposed to split the residual stress tensor into a “locally isotropic” part and an “inhomogeneous” part...
    • ...By refining the grid the residual stresses must tend to zero, therefore the inhomogeneous part must have a grid dependence parameter in the turbulent viscosity νa. Schumann [22] used a mixing length model for νa with the length scale computed as L = min(κ y, C10�) ,w hereC10 is a constant that is difficult to prescribe for all types of flows...
    • ...Schumann [22] and Grotzbach and Schumann [10] tried to derive a theoretical value for the constant but they were forced to introduce corrective constants to match with a range of experiments...
    • ...For the isotropic viscosity νr ,S chumann [22] used a model based on the sub-grid energy...

    Juan Camilo Uribeet al. Development of a Two-velocities Hybrid RANS-LES Model and its Applicat...

Sort by: