An algebraic variational multiscale-multigrid method for large-eddy simulation of turbulent variable-density flow at low Mach number

作者：Gravemeier Volker^*; Wall Wolfgang A

来源：Journal of Computational Physics, 2010, 229(17): 6047-6070.

DOI：10.1016/j.jcp.2010.04.036

• Turbulent variable-density flow
• Large-eddy simulation
• Finite element method
• Variational multiscale method
• Algebraic multigrid

An algebraic variational multiscale-multigrid method is proposed for large-eddy simulation of turbulent variable-density flow at low Mach number Scale-separating operators generated by level-transfer operators from plain aggregation algebraic multigrid methods enable the application of modeling terms to selected scale groups (here, the smaller of the resolved scales) in a purely algebraic way Thus, for scale separation, no additional discretization besides the basic one is required, in contrast to earlier approaches based on geometric multigrid methods. The proposed method is thoroughly validated via three numerical test cases of increasing complexity a Rayleigh-Taylor instability, turbulent channel flow with a heated and a cooled wall, and turbulent flow past a backward-facing step with heating Results obtained with the algebraic variational multiscale-multigrid method are compared to results obtained with residual-based variational multiscale methods as well as reference results from direct numerical simulation, experiments and LES published elsewhere Particularly, mean and various second-order velocity and temperature results obtained for turbulent channel flow with a heated and a cooled wall indicate the higher prediction quality achievable when adding a small-scale subgrid-vi

• 出版日期2010-8-20