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Linear well-posedness of a hybrid inviscid/viscous flow problem with smooth and discontinuous solutions at the interface

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Summary

A hybrid inviscid/viscous flow problem is considered in this paper. The interface treatment is uniformly valid for problems with smooth and discontinuous solutions at the interface. It satisfies the requirement of conservation and nonlinear uniqueness for cases where the interface coincides with a shock. The well-posedness in the linear sense is studied for a two-dimensional hybrid inviscid/viscous flow problem.

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Author notes

  1. Z. -N. Wu

    Present address: Department of Engineering Mechanics, Tsinghua University, 100084, Beijing, P.R. China

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    1. Z. -N. Wu
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    This is because the product of the small viscosity and a small gradient of the flow parameters outside the boundary layer is so small that the computer recognizes this product as zero.

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    Wu, Z.N. Linear well-posedness of a hybrid inviscid/viscous flow problem with smooth and discontinuous solutions at the interface. Acta Mechanica 145, 19–34 (2000). https://doi.org/10.1007/BF01453642

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    • DOI: https://doi.org/10.1007/BF01453642

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