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This work concerns the simulation of compressible multi-material fluid flowsand follows the method FVCF-NIP described in the former paper Braeunig et al(Eur. J. Mech. B/Fluids, 2009). This Cell-centered Finite Volume method istotally Eulerian since the mesh is not moving and a sharp interface, separatingtwo materials, evolves through the grid. A sliding boundary condition isenforced at the interface and mass, momentum and total energy are conserved.Although this former method performs well on 1D test cases, the interfacereconstruction suffers of poor accuracy in conserving shapes for instance inlinear advection. This situation leads to spurious instabilities of theinterface. The method Enhanced-NIP presented in the present paper cures aninconsistency in the former NIP method that improves strikingly the results. Ittakes advantage of a more consistent description of the interface in thenumerical scheme. Results for linear advection and compressible Euler equationsfor inviscid fluids are presented to assess the benefits of this new method.

A totally Eulerian Finite Volume solver for multi-material fluid flows: Enhanced Natural Interface Positioning (ENIP)