In this paper, for the first time we propose two linear, decoupled,energy-stable numerical schemes for multi-component two-phase compressible flowwith a realistic equation of state (e.g. Peng-Robinson equation of state). Themethods are constructed based on the scalar auxiliary variable (SAV) approachesfor Helmholtz free energy and the intermediate velocities that are designed todecouple the tight relationship between velocity and molar densities. Theintermediate velocities are also involved in the discrete momentum equation toensure the consistency with the mass balance equations. Moreover, we propose acomponent-wise SAV approach for a multi-component fluid, which requires solvinga sequence of linear, separate mass balance equations. We prove that themethods preserve the unconditional energy-dissipation feature. Numericalresults are presented to verify the effectiveness of the proposed methods.
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