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I am struggling with DG methods for 2 phase flow through porous media. I managed to get the global pressure, total flux equations to work with an unconditionally stable mixed FE DG formulation as described here:

but the saturation equation is giving me problems. Basically I tried LDG and IP and both gave pretty weird unphysical results.

Does anyone have any good references for DG with flow through porous media? I found at least one good compositional flow paper, but not much about blackoil models.

Thanks in advance.

PS: I probably should add that I am writing the code with FEniCS and CBCPDESys. So far it has saved me years in development time.

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I really want to learn something about DG. Unfortunately, I didn't have the time to do it. I think might be a good reference. If you find there, let us know. – vanCompute Feb 18 '13 at 19:49
Thank you sir. I think I have to go back to the drawing board on this one. There appears to be a lot of references in papers that partially describe what needs to be done, and rapid implementation in FEniCS shows some promise. I think I found a way to make it work. – JPL Feb 18 '13 at 21:23

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