### Abstract

The eddy viscosity is the tensor in the equation that governs the transport of the large-scale (modulational) perturbations of small-scale stationary flows. As an approximation to eddy viscosity the effective tensor, that arises in the limit as the ratio between the scales E → 0, can be considered. We are interested here in the accuracy of this approximation. We present results of computational investigation of eddy viscosity, when the small-scale flows are cellular, special periodic stationary flows with the stream function φ = sin y_{1} sin y_{2} + δ cos y_{1} cos y_{2}, y = x/E, 0 ≤ δ ≤ 1. For small E we used a numerical upscaling method. We designed this method so that it captures the modulational perturbations for any E with O(E^{2}) accuracy and independent of E complexity.

Original language | English (US) |
---|---|

Pages (from-to) | 341-354 |

Number of pages | 14 |

Journal | Journal of Computational Physics |

Volume | 195 |

Issue number | 1 |

DOIs | |

Publication status | Published - Mar 20 2004 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Numerical Analysis
- Modeling and Simulation
- Physics and Astronomy (miscellaneous)
- Physics and Astronomy(all)
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics