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We introduce second-order low-dissipation (LD) path-conservativecentral-upwind (PCCU) schemes for the one- (1-D) and two-dimensional (2-D)multifluid systems, whose components are assumed to be immiscible and separatedby material interfaces. The proposed LD PCCU schemes are derived within theflux globalization based PCCU framework and they employ the LD central-upwind(LDCU) numerical fluxes. These fluxes have been recently proposed in [{\sc A.Kurganov and R. Xin}, J. Sci. Comput., 96 (2023), Paper No. 56] for thesingle-fluid compressible Euler equations and we rigorously develop theirmultifluid extensions. In order to achieve higher resolution near the materialinterfaces, we track their locations and use an overcompressive SBM limiter intheir neighborhoods, while utilizing a dissipative generalized minmod limiterin the rest of the computational domain. We first develop a second-orderfinite-volume LD PCCU scheme and then extend it to the fifth order of accuracyvia the finite-difference alternative weighted essentially non-oscillatory(A-WENO) framework. We apply the developed schemes to a number of 1-D and 2-Dnumerical examples to demonstrate the performance of the new schemes.

Low-Dissipation Central-Upwind Schemes for Compressible Multifluids