Advances in Variational Multiscale Methods for Turbulent Flows

摘要

This article presents some of our recent approaches to variational multiscale methods for turbulent flows. The residual-based variational multiscale method using a dynamic subgrid-scale approximation is presented as well as the algebraic variational multiscale-multigrid method for large eddy simulation of turbulent flows. The influence of isogeometric representations is briefly reviewed and current research directions are described in the context of turbulent fluid-structure interaction. Preliminary results for turbulent channel flow on moving meshes are provided.