Computational Fluid Dynamics Of Multi-media High-resolution Format

Attempting to use conservative scheme to compute multi-component fluid via the extended Euler equations gives rise to strong oscillations near material interface. Such difficulty also occurs in common conservative scheme in Lagrangian coordinate. This paper applies Kami's method to analyze conservative scheme in Lagrangian coordinate, and then selects one of upwind schemes which do not show oscillations, finally applies it to construct high resolution scheme. Numerical flux of one order scheme is used near interface, while numerical flux of high resolution scheme is adopted in other area. The new scheme not only remains the good character of high resolution, but also eliminates the oscillations producted by common conservative scheme, and such method can be easily generalized to other high resolution schemes. Numerical experiments demonstrate that the new scheme possesses good effects in computation.