Turbulent front speed in the Fisher equation: dependence on Damkohler number
arXiv:1008.5145 · doi:10.1103/PhysRevE.83.016304
Abstract
Direct numerical simulations and mean-field theory are used to model reactive front propagation in a turbulent medium. In the mean-field approach, memory effects of turbulent diffusion are taken into account to estimate the front speed in cases when the Damkohler number is large. This effect is found to saturate the front speed to values comparable with the speed of the turbulent motions. By comparing with direct numerical simulations, it is found that the effective correlation time is much shorter than for non-reacting flows. The nonlinearity of the reaction term is found to make the front speed slightly faster.
arXiv comment8 pages, 9 figures, submitted to PRE
References in corpus (9)
- Hydromagnetic turbulence in computer simulations
- Non-Fickian diffusion and tau approximation from numerical turbulence
- A New Approach to Turbulent Transport of a Mean Scalar
- How Long can Left and Right Handed Life Forms Coexist?
- Population dynamics at high Reynolds number
- Thin front propagation in steady and unsteady cellular flows
- Turbulent diffusion with rotation or magnetic fields
- Fisher equation with turbulence in one dimension
- Combustion dynamics in steady compressible flows
Cited by in corpus (5)
- Turbulent diffusion of chemically reacting flows: theory and numerical simulations
- Turbulent diffusion of chemically reacting gaseous admixtures
- Front structure and dynamics in dense colonies of motile bacteria: Role of active turbulence
- Mean-field closure parameters for passive scalar turbulence
- Magnetic field spreading from stellar and galactic dynamos into the exterior