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conservation laws in a domain with a moving boundary

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Old   July 19, 2010, 20:59
Question conservation laws in a domain with a moving boundary
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J Kyle Miller
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Hi all,
Does anyone know of a good source/method for solving the following problem?
u_t + d/dx( f(u) ) = 0 on [0,h(t)]

I'm looking for proper techniques to treat the moving boundary under a variety of value/derivative conditions at the boundaries. I haven't found much in my literature searches.

I have tried adapting a LxF method with MUSCL interpolants from Nessyahu and Tadmor. Non-oscillatory Central Di fferencing for Hyperbolic Conservation Laws. J. of Comp. Phys. 1990.
I have had little success.

Thanks!
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