Computations of Homogeneous-Equilibrium Two-Phase Flows with Accurate and Efficient Shock-Stable Schemes
Computations of Homogeneous-Equilibrium Two-Phase Flows with Accurate and Efficient Shock-Stable Schemes
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DOI：
10.2514/1.35097
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发表时间：
2008-12
期刊：
影响因子：
2.5
通讯作者：
Seung-Won Ihm;Chongam Kim
中科院分区：
文献类型：
--
作者：
Seung-Won Ihm;Chongam Kim
为了准确有效地计算可压缩气液两相混合物流，AUSMPW+ 和 RoeM 方案（其准确性、效率和鲁棒性已在气体动力学中得到成功证明）被扩展到所有速度下的两相流。从混合状态方程中，导出了一个适合两相流的新的冲击不连续性传感项，并验证了其性能。此外，对两阶段AUSMPW+和RoeM方案开发中出现的几个数值困难进行了分析并成功解决。然后，通过采用现有的 AUSM 或 Harten-Lax-van Leer 以及接触恢复类型的预处理策略，对两相 AUSMPW+ 和 RoeM 方案进行有效的预处理，以模拟所有马赫数流。测试了从高度可压缩到几乎不可压缩流动条件的各种气液两相流。数值结果显示了所提出的方案对于两相流的所有速度的准确和稳健的行为。
For accurate and efficient computations of compressible gas-liquid two-phase mixture flows, the AUSMPW+ and RoeM schemes (for which the accuracy, efficiency, and robustness have been successfully demonstrated in gas dynamics) are extended to two-phase flows at all speeds. From the mixture equations of state, a new shock-discontinuity-sensing term suitably scaled for two-phase flows is derived and its performance is validated. In addition, several numerical difficulties appearing in the development of the two-phase AUSMPW+ and RoeM schemes are analyzed and successfully cured. The two-phase AUSMPW+ and RoeM schemes are then efficiently preconditioned for the simulation of all Mach number flows by employing the existing AUSM or Harten-Lax-van Leer with contact restoration types of preconditioning strategies. Various gas-liquid two-phase flows, from highly compressible to nearly incompressible flow conditions, are tested. The numerical results show the accurate and robust behavior of the proposed schemes for all speeds of two-phase flows.