Effects of the computational time step on numerical solutions of turbulent flow
Journal of Computational Physics
The basic equations for the large eddy simulation of turbulent flows in complex geometry
Journal of Computational Physics
On the effect of numerical errors in large eddy simulations of turbulent flows
Journal of Computational Physics
A general class of commutative filters for LES in complex geometries
Journal of Computational Physics
Journal of Computational Physics
A multilevel algorithm for large-Eddy simulation of turbulent compressible flows
Journal of Computational Physics
Construction of commutative filters for LES on unstructured meshes
Journal of Computational Physics
Multiresolution Analysis on Irregular Surface Meshes
IEEE Transactions on Visualization and Computer Graphics
A Finite Element Variational Multiscale Method for the Navier-Stokes Equations
SIAM Journal on Scientific Computing
Large-eddy simulation without filter
Journal of Computational Physics
Journal of Computational Physics
Variational Multiscale Methods for incompressible flows
International Journal of Computing Science and Mathematics
Letter to the editor: A triple level finite element method for large eddy simulations
Journal of Computational Physics
Finite Elements in Analysis and Design
Variational multiscale turbulence modelling in a high order spectral element method
Journal of Computational Physics
A variational multiscale method for turbulent flow simulation with adaptive large scale space
Journal of Computational Physics
Finite element LES and VMS methods on tetrahedral meshes
Journal of Computational and Applied Mathematics
Journal of Computational Physics
Stabilized finite element method for incompressible flows with high Reynolds number
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.48 |
A general class of scale-separating operators based on combined multigrid operators is proposed and analyzed in this work. The operators of this class are designed for variational multiscale large eddy simulation using a finite volume or finite element method. Two representatives are compared to discrete smooth filters, which are widely used in the traditional large eddy simulation literature; the comparison shows that they are not only theoretically different, but also yield considerable differences in the respective numerical results. Dynamic as well as constant-coefficient-based subgrid-scale modeling is used within the multiscale environment. All of the scale-separating operators are implemented in a second-order accurate energy-conserving finite volume method and tested for the case of a turbulent channel flow. One operator shows particularly remarkable results in the framework of the variational multiscale large eddy simulation, that is, profiles are obtained for velocity and kinetic energy which are considerably closer to the respective profiles from a direct numerical simulation than are the profiles resulting from the application of the other operators considered in the present study. Furthermore, this particular operator proves to be very efficient with regard to the important aspect of computational cost, that is, a reduction in computing time ranging from about 25% up to about 150% compared to the other operators. The introduction of a substantial amount of subgrid viscosity to the small scales, particularly in the buffer layer of the channel, appears to be crucial for the good results achieved with this method.