This paper proposes a new non-oscillatory energy-splitting conservative algorithm for computing multi-fluid flows in the Eulerian framework. In comparison with existing multi-fluid algorithms in the literature, 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 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.
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Research Article| March 15 2018
A non-oscillatory energy-splitting method for the computation of compressible multi-fluid flows
Special Collection: Papers Selected from the Seventh International Symposium on Physics of Fluids
Xin Lei ;
Xin Lei, Jiequan Li; A non-oscillatory energy-splitting method for the computation of compressible multi-fluid flows. Physics of Fluids 1 April 2018; 30 (4): 040906. https://doi.org/10.1063/1.5011093
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