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An Adaptive mesh for 1-D heat conduction equation

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Old   March 3, 2019, 13:04
Default An Adaptive mesh for 1-D heat conduction equation
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I'm new with OpenFoam. I am trying to solve the 1-D heat conduction equation of the first kind for a rod of variable length, which heats up at both ends. To solve the problem, I use an explicit scheme.

The task is nontrivial. The calculated area is changing. The conditions of the problem are such that the left boundary is fixed, and the right one is constantly moving.

I do not know how to build a mesh for calculation and how to transfer data from the previous mesh size to a new one. I think i need somekind of an adaptive mesh, but i don't know how to create it or find it inside openFoam.

That's what i mean:

First step:
|-|-| size L
Second step:
|-|-|-|-| size 2L
Third step:
|-|-|-|-|-|-| size 3L

and so long...

Please tell me how I can use the functionality of openFam to solve the problem with the mesh.

Thanks a lot.
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1-d, adaptive mesh, heat conduction equation, mesh

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