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Inertial range scaling in numerical turbulence with hyperviscosity.
Nils Erland L Haugen1, Axel Brandenburg
1Department of Physics, The Norwegian University of Science and Technology, Høyskoleringen 5, N-7034 Trondheim, Norway. nils.haugen@phys.ntnu.no
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2004
Summary
Hyperviscosity in numerical turbulence simulations mirrors findings from direct simulations and wind tunnel experiments. Key characteristics like inertial range scaling and bottleneck effects remain consistent across methods.
Area of Science:
- Fluid Dynamics
- Computational Physics
Background:
- Turbulence modeling is crucial for understanding complex fluid flows.
- Hyperviscosity is a numerical technique used to stabilize simulations.
- Comparing numerical results with experimental data is essential for validation.
Purpose of the Study:
- To investigate the effects of hyperviscosity on turbulent flow simulations.
- To compare hyperviscous simulations with direct numerical simulations (DNS) and wind tunnel experiments.
- To analyze inertial range scaling, bottleneck effects, and energy decay laws.
Main Methods:
- Numerical simulations of turbulence using hyperviscosity.
- Direct numerical simulations with ordinary viscosity.
- Analysis of data from wind tunnel experiments.
- Comparison of spectral and statistical properties.
Main Results:
- Similar inertial range scaling observed in hyperviscosity, DNS, and experimental data.
- Bottleneck effect width is consistent across methods; height increases with hyperviscosity.
- Mean normalized dissipation rate and structure function exponents align with theoretical models (She-Leveque).
- Hyperviscosity does not alter the standard t(-1.25) kinetic energy decay law in decaying turbulence.
Conclusions:
- Hyperviscosity provides a valid approach for simulating turbulent flows, maintaining key physical characteristics.
- The study validates the use of hyperviscosity in capturing essential turbulent phenomena.
- Results support the She-Leveque model for structure function exponents in turbulent flows.