A method for large-eddy simulation is presented that does not use an explicit subgrid-scale diffusion term. Subgrid-scale effects are modelled implicitly through an appropriate monotone (in the sense of Spekreijse 1987) discretization method for the advective terms. Special attention is given to the accuracy of the implicit subgrid-scale diffusion term. Computational results are shown for the dispersion of a passive scalar in an artificial turbulent velocity field. Comparisons are made with standard large-eddy simulation results. From the viewpoint of accuracy and computational costs the results are satisfactory.

Periodic solutions (msc 34C25), Almost and pseudo-almost periodic solutions (msc 34C27), Bifurcations of limit cycles and periodic orbits (msc 37G15), Error bounds (msc 65M15), Method of lines (msc 65M20), Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (msc 65M60), Isotropic turbulence; homogeneous turbulence (msc 76F05)
Department of Numerical Mathematics [NM]
Numerical mathematics

Koren, B, & Beets, C. (1996). Large-eddy simulation with accurate implicit subgrid-scale diffusion. Department of Numerical Mathematics [NM]. CWI.