High-fidelity numerical simulation of compressible multi-phase flows is of great challenge due to its competing requirements for resolving complex flow structures with low dissipation and capturing moving interfaces as well as other discontinuities sharply. Recently, a novel hybrid scheme, combining the standard targeted essentially non-oscillatory (TENO) scheme with Tangent of Hyperbola for INterface Capturing (THINC) scheme as two building blocks for smooth and non-smooth regions respectively and thus named as TENO-THINC, has been proposed and shows great potential for resolving complex single-phase fluids. In this work, a high-order finite-volume method, based on the TENO-THINC scheme for spatial reconstruction and the Harten-Lax-van Leer contact (HLLC) approximate Riemann solver for flux evaluation, is developed for simulating compressible multi-phase flows with a reduced five-equation formulation of the diffuse-interface model. The TENO-THINC scheme deploys the THINC reconstruction to resolve the physical discontinuities as well as the material interfaces within a few cells, and is desired to resolve the interface evolution more reliably in multi-phase flow simulations. Several algorithms have been implemented and elaborated for ensuring the numerical robustness of extreme simulations with high density and pressure ratios. Numerical results of the 1D and 2D challenging benchmark tests show that the TENO-THINC scheme is more robust than the standard TENO scheme and less dissipative than both the TENO and WENO-JS schemes. This property is essential for the long-term simulations of compressible multi-phase flows.

可压缩多相流的高保真数值模拟面临着巨大的挑战，因为它需要解决具有低耗散的复杂流动结构并急剧捕获移动界面以及其他不连续性。最近，一种新颖的混合方案，将标准目标本质上非振荡（TENO）方案与用于接口捕获的双曲线正切（THINC）方案相结合，分别作为平滑和非平滑区域的两个构建块，因此命名为 TENO-THINC，已被提出并显示出解决复杂单相流体的巨大潜力。在这项工作中，开发了一种基于用于空间重建的 TENO-THINC 方案和用于通量评估的 Harten-Lax-van Leer 接触 (HLLC) 近似黎曼求解器的高阶有限体积方法，用于模拟可压缩多相流动与扩散界面模型的简化五方程公式。TENO-THINC 方案部署 THINC 重建来解决物理不连续性以及几个单元内的材料界面，并且希望在多相流模拟中更可靠地解决界面演变。已经实施并详细阐述了几种算法，以确保高密度和压力比的极端模拟的数值鲁棒性。一维和二维挑战性基准测试的数值结果表明，TENO-THINC 方案比标准 TENO 方案更稳健，并且比 TENO 和 WENO-JS 方案耗散更少。这一特性对于可压缩多相流的长期模拟至关重要。