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 y1 sin y2 + δ cos y1 cos y2, 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(E2) accuracy and independent of E complexity.
Original language | English (US) |
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Pages (from-to) | 341-354 |
Number of pages | 14 |
Journal | Journal of Computational Physics |
Volume | 195 |
Issue number | 1 |
DOIs | |
State | Published - Mar 20 2004 |
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