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smoothing a parameter distribution
Posted Jul 12, 2017, 5:23 a.m. EDT 2 Replies
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Hello,
in a Darcy flow problem there is a very hard step between the distribution of two parameter quantities (k=1e-8m²/1e-12m²). This causes numerical problems.
Has anybody a good idea how to smooth the transition? Is there a way using a pde to smooth the transition over a given interface thickness in a first stationary simulation step (comparable with the interface thickness of the level set method)?
I could use a transient pde and smooth by diffusion. But I don't want to get a time dependent problem.
Thank you very much!
Best regards
Michael
in a Darcy flow problem there is a very hard step between the distribution of two parameter quantities (k=1e-8m²/1e-12m²). This causes numerical problems.
Has anybody a good idea how to smooth the transition? Is there a way using a pde to smooth the transition over a given interface thickness in a first stationary simulation step (comparable with the interface thickness of the level set method)?
I could use a transient pde and smooth by diffusion. But I don't want to get a time dependent problem.
Thank you very much!
Best regards
Michael
2 Replies Last Post Jul 12, 2017, 8:26 a.m. EDT
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Posted:
7 years ago
Hello Michael,
If the interface between the two domains has a relatively simple shape you could simply explicitly prescribe a spatially-dependent function (based on the step function that is pre-implemented for you in the software, or not).
If on the other hand the interface between the two domains has a complex shape and it's not possible to find an explicit function, the following blog post might help:
www.comsol.com/blogs/tips-using-wall-distance-interface/
Best,
Jeff
If the interface between the two domains has a relatively simple shape you could simply explicitly prescribe a spatially-dependent function (based on the step function that is pre-implemented for you in the software, or not).
If on the other hand the interface between the two domains has a complex shape and it's not possible to find an explicit function, the following blog post might help:
www.comsol.com/blogs/tips-using-wall-distance-interface/
Best,
Jeff
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Posted:
7 years ago
Hello Jeff,
using the wall distance interface is a very good idea, because it is a complex geometry! Thanks a lot!!
Best regards
Michael
using the wall distance interface is a very good idea, because it is a complex geometry! Thanks a lot!!
Best regards
Michael