# Structural modeling

### From CFD-Wiki

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- | 1. Those that use the physical hypothesis of scale similarity (Bardina et al., 1980) | + | 1. Those that use the physical hypothesis of scale similarity (Bardina et. al., 1980) |

:<math> | :<math> | ||

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- | 2. Those derived by formal series expansions (Clark et al., 1979) | + | 2. Those derived by formal series expansions (Clark et. al., 1979) |

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</math> | </math> | ||

- | 4. Dynamic structure models ( | + | 4. Dynamic structure models, which divide the modeled SGS stress into a model for the SGS kinetic energy and a model for the structure of the SGS stress tensor (relative weights of each of the components) (Pomraning and Rutland, 2002; Lu et. al. 2007, 2008; Lu and Porte-Agel, 2010) |

:<math> | :<math> | ||

\tau_{ij} = 2k_{sgs} \left(\frac{L_{ij}}{L_{kk}}\right) | \tau_{ij} = 2k_{sgs} \left(\frac{L_{ij}}{L_{kk}}\right) | ||

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*{{reference-paper|author=R. A. Clark and J. H. Ferziger and W. C. Reynolds|year=1979|title=Evaluation of subgrid-scale models using an accurately simulated turbulent flow|rest=J. Fluid Mech.}} | *{{reference-paper|author=R. A. Clark and J. H. Ferziger and W. C. Reynolds|year=1979|title=Evaluation of subgrid-scale models using an accurately simulated turbulent flow|rest=J. Fluid Mech.}} | ||

+ | |||

+ | *{{reference-paper|author=E. Pomraning and C. J. Rutland|year=2002|title=Dynamic one-equation nonviscosity large-eddy simulation model|rest=AIAA J.}} | ||

+ | |||

+ | *{{reference-paper|author=H. Lu and C. J. Rutland and L. M. Smith|year=2007|title=A priori tests of one-equation LES modeling of rotating turbulence|rest=J. Turbul.}} | ||

+ | |||

+ | *{{reference-paper|author=H. Lu and C. J. Rutland and L. M. Smith|year=2008|title=A posteriori tests of one-equation LES modeling of rotating turbulence|rest=Int. J. Mod. Phys. C}} | ||

+ | |||

+ | *{{reference-paper|author=H. Lu and F. Porte-Agel|year=2010|title=A modulated gradient model for large-eddy simulation: application to a neutral atmospheric boundary layer|rest=Phys. Fluids}} |

## Revision as of 20:19, 25 June 2013

1. Those that use the physical hypothesis of scale similarity (Bardina et. al., 1980)

2. Those derived by formal series expansions (Clark et. al., 1979)

3. Mixed models, which are based on linear combinations of the eddy-viscosity and structural types

or

4. Dynamic structure models, which divide the modeled SGS stress into a model for the SGS kinetic energy and a model for the structure of the SGS stress tensor (relative weights of each of the components) (Pomraning and Rutland, 2002; Lu et. al. 2007, 2008; Lu and Porte-Agel, 2010)

or

## References

**J. Bardina and J. H. Ferziger and W. C. Reynolds (1980)**, "Improved subgrid scale models for large eddy simulation", AIAA Paper No. 80-1357.

**R. A. Clark and J. H. Ferziger and W. C. Reynolds (1979)**, "Evaluation of subgrid-scale models using an accurately simulated turbulent flow", J. Fluid Mech..

**E. Pomraning and C. J. Rutland (2002)**, "Dynamic one-equation nonviscosity large-eddy simulation model", AIAA J..

**H. Lu and C. J. Rutland and L. M. Smith (2007)**, "A priori tests of one-equation LES modeling of rotating turbulence", J. Turbul..

**H. Lu and C. J. Rutland and L. M. Smith (2008)**, "A posteriori tests of one-equation LES modeling of rotating turbulence", Int. J. Mod. Phys. C.

**H. Lu and F. Porte-Agel (2010)**, "A modulated gradient model for large-eddy simulation: application to a neutral atmospheric boundary layer", Phys. Fluids.