A wavelet-based variational multiscale method for the LES of incompressible flows in a high-order DG-FEM framework

摘要: This work focuses upon the development of a wavelet‐based variant variational multiscale method (VMS) for accurate and efficient large eddy simulation (LES) called VMS‐LES (WMS‐LES). approach has been incorporated within framework high‐order incompressible flow solver based pressure‐stabilized discontinuous Galerkin finite element (DG‐FEM). The VMS is designed to produce an priori scale separation governing equations, in manner which makes no assumptions on either boundary conditions or mesh uniformity. Using second‐generation wavelets (SGWs) elementwise ensures, one hand, preservation computational compactness DG‐FEM scheme and, other ability achieve wavenumber space. optimal space‐frequency localization property SGW provides improvement over commonly used Legendre polynomials. suitability scale‐separation operation as tool error indication demonstrated h‐adaptive computation reentrant corner test case. Finally, WMS‐LES have assessed through simulations three‐dimensional Taylor‐Green vortex Our results indicate that exhibits distinct monolevel LES approach. effect not produced by change magnitude subgrid dissipation but rather redistribution