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首页> 外文期刊>Computer physics communications >An improved unified solver for compressible and incompressible fluids involving free surfaces. II. Multi-time-step integration and applications
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An improved unified solver for compressible and incompressible fluids involving free surfaces. II. Multi-time-step integration and applications

机译：一种改进的统一求解器，用于涉及自由表面的可压缩和不可压缩流体。二。多时间步集成和应用

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摘要

An improved numerical solver for the unified solution of compressible and incompressible fluids involving interfaces is proposed. The present method is based on the CIP-CUP (Cubic Interpolated Propagation/Combined, Unified Procedure) method, which is a pressure-based semi-implicit solver for the Euler equations of fluid flows. In Part I of this series of articles [M. Ida, Comput. Phys. Commun. 132 (2000) 44], we proposed an improved scheme for the convection terms in the equations, which allowed us discontinuous descriptions of the density interface by replacing the cubic interpolation function used in the CIP scheme with a quadratic extrapolation function only around the interface. In this paper, as Part II of this series, the multi-time-step integration technique is adapted to the CIP-CUP integration. Because the CIP-CUP treats different-nature components in the fluid equations separately, the adaptation of the technique is straightforward. This modification allows us flexible determinations of the time interval, which results in an efficient and accurate integration. Furthermore, some additional discussion on our methods is presented. Finally, the application results to composite flow problems such as compressible and incompressible Kelvin-Helmholtz instabilities and the dynamics of two acoustically coupled deformable bubbles in a viscous liquid are provided.
机译：提出了一种改进的数值求解器，用于求解涉及界面的可压缩和不可压缩流体的统一解。本方法基于CIP-CUP（三次插值传播/组合统一过程）方法，这是一种基于压力的半隐式求解器，用于流体的欧拉方程。在本系列文章的第一部分[M.艾达，计算机。物理公社132（2000）44]，我们为等式中的对流项提出了一种改进的方案，该方案通过仅用围绕接口的二次外推函数代替CIP方案中使用的三次插值函数，从而允许我们对密度接口进行不连续的描述。在本文中，作为本系列的第二部分，多时间步积分技术适用于CIP-CUP积分。由于CIP-CUP分别处理流体方程中的不同性质的分量，因此该技术的适应性很简单。此修改使我们可以灵活地确定时间间隔，从而实现高效，准确的积分。此外，还提供了有关我们的方法的其他讨论。最后，提供了对复合流动问题的应用结果，例如可压缩和不可压缩的Kelvin-Helmholtz不稳定性以及粘性液体中两个声学耦合的可变形气泡的动力学。

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