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A Scale-Residual Model for Large-Eddy Simulation

by J. Maurer and M. Fey

(Report number 1999-06)

Abstract
A subgrid-scale model for large-eddy simulation is developed and a conservative formulation of the filtered compressible Navier-Stokes equations is derived. We introduce a different way of looking at LES modelling: In contrast to other approaches, which estimate the subgrid-scale quantities explicitly out of the instantaneous filtered solution, the residual between the time evolution of two solutions of the Navier-Stokes equations (without a model) on different grids will be used to construct the model. Hence, no subgrid values are calculated explicitly but only their influence on the resolved scales is modelled. By this approach most of the physical information already included in the Navier-Stokes equations will be retained and less additional physical information about the turbulent flow has to be inserted.

Keywords:

@Techreport{MF99_241,
  author = {J. Maurer and M. Fey},
  title = {A Scale-Residual Model for Large-Eddy Simulation},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1999-06},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1999/1999-06.pdf },
  year = {1999}
}

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