A non-oscillatory energy-splitting method for the computation of compressible multi-fluid flows
This work addresses the problem of spurious oscillations in compressible multi-fluid flow simulations, providing a more accurate method for computational fluid dynamics.
The paper proposes a new non-oscillatory energy-splitting conservative algorithm for computing multi-fluid flows, demonstrating through numerical experiments that nonphysical oscillations are substantially suppressed around material interfaces.
This paper proposes a new non-oscillatory {\em energy-splitting} conservative algorithm for computing multi-fluid flows in the Eulerian framework. In comparison with existing multi-fluid algorithms in literatures, it is shown that the mass fraction model with isobaric hypothesis is a plausible choice for designing numerical methods for multi-fluid flows. Then we construct a conservative Godunov-based scheme with the high order accurate extension by using the generalized Riemann problem (GRP) solver, through the detailed analysis of kinetic energy exchange when fluids are mixed under the hypothesis of isobaric equilibrium. Numerical experiments are carried out for the shock-interface interaction and shock-bubble interaction problems, which display the excellent performance of this type of schemes and demonstrate that nonphysical oscillations are suppressed around material interfaces substantially.