Advection-Diffusion in Lagrangian Coordinates

Details Advection-Diffusion in Lagrangian Coordinates Advection-Diffusion in Lagrangian Coordinates

2001-05-10

arxiv.org/abs/nlin/0105026v5

Physics Letters A 309(5-6), 415-422 (2003)

Nonlinear Sciences

Chaotic Dynamics

6 pages, 2 postscript figures. LaTeX 2e with RevTeX 4 style. Final version

Scientific paper

10.1016/S0375-9601(03)00244-5

The advection-diffusion equation can be approximated by a one-dimensional diffusion equation in Lagrangian coordinates along the directions of compression of fluid elements (the stable manifold). This result holds in any number of dimensions, for a velocity field with chaotic trajectories, with an error proportional to the square root of the diffusivity. After some time, the one-dimensional equation becomes invalid, but by that time a large fraction of the scalar variance has decayed.

Affiliated with

Also associated with

No associations

Rating

Advection-Diffusion in Lagrangian Coordinates does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Advection-Diffusion in Lagrangian Coordinates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Advection-Diffusion in Lagrangian Coordinates will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-127788