The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
A general class of commutative filters for LES in complex geometries
Journal of Computational Physics
Second-generation wavelet collocation method for the solution of partial differential equations
Journal of Computational Physics
Construction of commutative filters for LES on unstructured meshes
Journal of Computational Physics
An adaptive multilevel wavelet collocation method for elliptic problems
Journal of Computational Physics
Hi-index | 31.45 |
Stochastic coherent adaptive large-eddy simulation is a novel approach to the numerical simulation of turbulence, where the coherent energetic eddies are solved for, while modeling the influence of the less energetic coherent/incoherent background flow. The formal separation between resolved and unresolved field is obtained by wavelet threshold filtering that is inherent to the adaptive wavelet collocation numerical method. A new explicit wavelet filtering strategy is introduced and tested, by considering two different filtering levels: the physical level, which controls the turbulence model, and the numerical level that is responsible for the accuracy of numerical simulations. The theoretical basis for wavelet-based adaptive large-eddy simulation with explicit filtering and consistent dynamic modeling is given. Numerical experiments are presented for unsteady homogeneous turbulence, demonstrating the existence of grid-independent solutions.