An algebraic variational multiscale-multigrid method for large eddy simulation of turbulent flow

An algebraic variational multiscale?multigrid method is proposed for large eddy simulation of turbulent flow. For this purpose, level-transfer operators from plain aggregration algebraic multigrid methods are employed for variational multiscale large eddy simulation. In contrast to earlier approaches based on geometric multigrid methods, this purely algebraic strategy for scale separation obviates any coarse discretization besides the basic one. Operators based on plain aggregation algebraic multigrid provide a projective scale separation, enabling an efficient implementation of the proposed method. The application of the algebraic variational multiscale? multigrid method to turbulent flow in a channel produces results notably closer to reference (direct numerical simulation) results than other state-of-the-art methods both for mean streamwise and root-mean-square velocities. For predicting highly sensitive components of the Reynolds-stress tensor in the context of turbulent recirculating flow in a lid-driven cavity, the algebraic variational multiscale?multigrid method also shows a remarkably good performance in predicting experimentally obtained reference results compared to other methods.     «

An algebraic variational multiscale?multigrid method is proposed for large eddy simulation of turbulent flow. For this purpose, level-transfer operators from plain aggregration algebraic multigrid methods are employed for variational multiscale large eddy simulation. In contrast to earlier approaches based on geometric multigrid methods, this purely algebraic strategy for scale separation obviates any coarse discretization besides the basic one. Operators based on plain aggregation algebraic mul...     »