We introduce second-order low-dissipation (LD) path-conservative central-upwind (PCCU) schemes for the one- (1-D) and two-dimensional (2-D) multifluid systems, whose components are assumed to be immiscible and separated by material interfaces. The proposed LD PCCU schemes are derived within the flux 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 the single-fluid compressible Euler equations and we rigorously develop their multifluid extensions. In order to achieve higher resolution near the material interfaces, we track their locations and use an overcompressive SBM limiter in their neighborhoods, while utilizing a dissipative generalized minmod limiter in the rest of the computational domain. We first develop a second-order finite-volume LD PCCU scheme and then extend it to the fifth order of accuracy via the finite-difference alternative weighted essentially non-oscillatory (A-WENO) framework. We apply the developed schemes to a number of 1-D and 2-D numerical examples to demonstrate the performance of the new schemes.

翻译：我们针对一维和二维多流体系统，引入了一种二阶低耗散路径守恒中心迎风格式，其中各组份被视为不可混溶且由物质界面分隔。所提出的低耗散路径守恒中心迎风格式是基于通量全局化框架推导的，并采用低耗散中心迎风数值通量。这些通量近期在[{\sc A. Kurganov and R. Xin}, J. Sci. Comput., 96 (2023), Paper No. 56]中被针对单流体可压缩欧拉方程提出，我们在此基础上严格发展了其多流体扩展形式。为在物质界面附近实现更高分辨率，我们追踪其位置并在邻域内使用过压缩SBM限制器，同时在计算域其他部分采用耗散性广义minmod限制器。我们首先构建了二阶有限体积低耗散路径守恒中心迎风格式，随后通过有限差分替代加权本质无振荡框架将其扩展至五阶精度。通过一系列一维和二维数值算例验证了新格式的性能。