If someone know this, please teach me how to set the ghost value across the interface.

Based on the isentropic assumption, for a single-phase compressible flow I obtained a sharp interface in the 1D shock-tube problem. On the other hand, I failed to get a sharp interface for a two-phase compressible flow. Instead, there was a spurious oscillation at the contact surface.

Most error may be due to the complexity of numerical treatment in a mixed cell where both properties are involved.

The reasons I can imagine are that in the construction of the slope-limiter with the eigen-vectors matrix, the computation in a mixed cell is not trivial. It is a vague. in the computation of flux(i.e. Lax-Friderich), the computation near the interface is very complex.

Please give me a hint or some good sample code.

Thanks in advance.

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Hey! What does it mean? I couldn't read your language