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advantage of using Arbitrary Lagrangian-Eulerian formulation?

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Old   April 27, 2011, 04:26
Default advantage of using Arbitrary Lagrangian-Eulerian formulation?
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Hello all,

I have a fairly fundamental question. When simulating a problem which involves deforming grid such fluid-structure interaction problem, I see some researcher (ex. Farhat) using Arbitrary Lagrangian-Eulerian (ALE) formulation while others (ex. Visbal) using "standard" NS eq. in strong conservation law (SCLF). I believe, in the end, both formulation do same thing. Is there an advantage of using ALE?

Please correct me if I am wrong. From my understanding, ALE includes the grid velocity in the total derivative while the SCLF includes the grid velocities in the grid metrics. Are there more "deeper" or fundamental difference between the two formulations?

thank you.

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