This paper presents a single-pressure-field two-fluid model with finite-volume discretization to solve the equations of motion of compressible multiphase flows. To capture the discontinuities caused by shock waves and fluid interfaces, we propose a generalized discontinuity sharpening technique that combines the conventional monotonic upstream scheme for conservation law (MUSCL) and tangent of hyperbola interface capturing (THINC) schemes. In addition, a slope ratio-weighted parameter, ζ, is used to control the proportion of values reconstructed by MUSCL and THINC, and we show that the present method can retain sharp interfaces when the value of the parameter β in the THINC scheme is set ranging from 1.6 to 3.0. Fluxes across various interfaces are evaluated using a hybrid AUSMD-type flux algorithm, where the mass flux and pressure induced on the cell faces are calculated using an approximate Riemann solver. The accuracy and robustness of the proposed method are validated by solving a series of one- and two-dimensional single-phase flows. Furthermore, complex wave patterns arising from two-dimensional shock bubble/water-column interactions are examined, which indicate that compared with the existing schemes applied to two-fluid modeling, the proposed scheme significantly sharpens the interfaces and captures more details of the flow features. Finally, simulations of a three-dimensional example of the liquid jet crossflow are conducted. The proposed scheme shows more details of the fluid interface, including the interfacial instabilities on the windward side of the liquid jet and droplet formation due to the breakup phenomenon in the downstream of the crossflow, than the existing schemes.

本文提出了一种具有有限体积离散化的单压力场双流体模型来求解可压缩多相流的运动方程。为了捕获由冲击波和流体界面引起的不连续性，我们提出了一种广义的不连续性锐化技术，该技术结合了传统的守恒定律单调上游方案（MUSCL）和双曲线界面捕获（THINC）方案的切线。此外，斜率比加权参数ζ用于控制由 MUSCL 和 THINC 重建的值的比例，我们表明当参数β的值时，本方法可以保留尖锐的界面在 THINC 方案中设置为 1.6 到 3.0。使用混合 AUSMD 型通量算法评估跨各种界面的通量，其中使用近似黎曼求解器计算单元表面上的质量通量和压力。通过求解一系列一维和二维单相流，验证了所提出方法的准确性和鲁棒性。此外，检查了由二维冲击气泡/水柱相互作用引起的复杂波型，这表明与应用于双流体建模的现有方案相比，所提出的方案显着锐化了界面并捕获了更多流动特征的细节. 最后，对液体射流横流的三维示例进行了模拟。所提出的方案显示了流体界面的更多细节，