Lattice models of advection-diffusion.

@article{Pierrehumbert2000LatticeMO,
  title={Lattice models of advection-diffusion.},
  author={Raymond T Pierrehumbert},
  journal={Chaos},
  year={2000},
  volume={10 1},
  pages={
          61-74
        }
}
We present a synthesis of theoretical results concerning the probability distribution of the concentration of a passive tracer subject to both diffusion and to advection by a spatially smooth time-dependent flow. The freely decaying case is contrasted with the equilibrium case. A computationally efficient model of advection-diffusion on a lattice is introduced, and used to test and probe the limits of the theoretical ideas. It is shown that the probability distribution for the freely decaying… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 35 CITATIONS

References

Publications referenced by this paper.
SHOWING 1-7 OF 7 REFERENCES

Simplified models for turbulent diffusion : Theory , numerical modelling and physical phenomena

G. Falkovich Chertkov, I. Kolokolov, I. Lebedev
  • Phys . Rep .
  • 1999

‘ Numerical investigation of scaling properties of turbulent premixed flames , ’ ’ Combust

G. Falkovich Chertkov, I. Kolokolov
  • Sci . Technol .
  • 1997

Statistics of a passive scalar advected by a large - scale two - dimensional velocity field : analytic solution

H. Hiroki Horita, I. Ishizaki, H. Mori
  • Phys . Rev . E
  • 1995