Concentration dependent Diffusion
6 ビュー (過去 30 日間)
古いコメントを表示
Hey,
I am trying to solve Fick's second law and simulate Diffusion, but with a non linear diffusion coefficient. The law states:
- Where C is the concentration
- D is the diffusion coefficiant
- x is a space coordinate
First I would like a linear dependence D = (C_0-C)*D_0
- With C_0 = initial concentration at a source
- C = concentration at the position the simulation calculates
- D_0 = initial diffusion coefficient
And later a quadratic dependence of C in D.
I used the PDE toolbox so far and it gave nice and fitting results for the linear problem of a constant D, however I can't figure out how to solve the problem with a concentration dependence in the diffusion coefficient.
How I see it this would be a nonlinear parabolic partial differential equation.
I would very much appreciate every form of help! Thank you in advance!
Cheers Andreas
0 件のコメント
回答 (1 件)
Bjorn Gustavsson
2011 年 2 月 16 日
On the matlab file exchange there are several tools for nonlinear diffusion filtering. These tools are designed for image filtering/processing, but they obviously do solve the nonlinear diffusion equations.
HTH,
参考
カテゴリ
Help Center および File Exchange で Geometry and Mesh についてさらに検索
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!