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3.4  PASS: Comparison between the explicit and implicit diffusion schemes

Author
Stéphane Popinet
Command
sh diffusion.sh
Version
101103
Required files
diffusion.gfs (view) (download)
diffusion.sh
Running time
2 seconds

A tracer diffuses from the (circular) boundary of the domain for a given time. This test case compares the solutions obtained using the implicit and the explicit diffusion schemes.

The radial tracer profiles for both schemes are illustrated in Figure 43.


Figure 43: Radial tracer profile evolution as a function of time.

3.4.1  PASS: Comparison between explicit and implicit diffusion schemes on concentration tracer

Author
Jose Lopez-Herrera
Command
sh concentration.sh
Version
121023
Required files
concentration.gfs (view) (download)
concentration.sh
Running time
4 seconds

A non-homogeneous concentration confined in an annular gap relaxes by diffusion to the equilibrium state. This test case compares the solutions obtained using the implicit and the explicit diffusion schemes over a concentration. The total amount of the species is preserved with both schemes to within 2× 10−7.

The radial concentration profiles for both schemes are illustrated in Figure 44.


Figure 44: Radial concentration profile at time t=0.005.


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