A further work on multi‐phase two‐fluid approach for compressible multi‐phase flows
A further work on multi‐phase two‐fluid approach for compressible multi‐phase flows
复制标题
DOI：
10.1002/fld.1773
复制
发表时间：
2008-11
影响因子：
1.8
通讯作者：
Y. Niu;Yu-Chin Lin;Chih Chang
中科院分区：
文献类型：
--
作者：
Y. Niu;Yu-Chin Lin;Chih Chang
本文是我们以前工作的继续。J·努默。冰毒。流体2001；36：351-371)，关于使用AUSMDV格式求解可压缩液-气流的双流体模型。我们首先提出了一种基于压力-速度的扩散项，它起源于AUSMDV格式Wada和Liou(SIAM J.Sci.电脑。1997年；18(3)：633-657)，以增强其稳健性。该格式可普遍适用于气体和液体流体。然后我们使用了分层流动模型Chang和Liou(J.Comput.物理2007；225：240-873)，用于空间离散。通过定义不同区域的流体，并在单元边界上引入相间力，分层流动模型允许在每一相上应用守恒定律，从而能够准确地捕捉流体界面和激波等流体不连续性。研究了几种基准试验，包括Ransom水龙头问题、一维空气-水激波管问题、二维激波-水柱问题和二维激波-气泡相互作用问题。结果表明，在AUSM+-UP格式和层状流模型中引入新的耗散项，对于可压缩多相流是简单、准确和稳健的。版权所有©2008 John Wiley&Sons，Ltd.
This paper is to continue our previous work Niu (Int. J. Numer. Meth. Fluids 2001; 36:351–371) on solving a two‐fluid model for compressible liquid–gas flows using the AUSMDV scheme. We first propose a pressure–velocity‐based diffusion term originally derived from AUSMDV scheme Wada and Liou (SIAM J. Sci. Comput. 1997; 18(3):633—657) to enhance its robustness. The scheme can be applied to gas and liquid fluids universally. We then employ the stratified flow model Chang and Liou (J. Comput. Physics 2007; 225:240–873) for spatial discretization. By defining the fluids in different regions and introducing inter‐phasic force on cell boundary, the stratified flow model allows the conservation laws to be applied on each phase, and therefore, it is able to capture fluid discontinuities, such as the fluid interfaces and shock waves, accurately. Several benchmark tests are studied, including the Ransom's Faucet problem, 1D air–water shock tube problems, 2D shock‐water column and 2D shock‐bubble interaction problems. The results indicate that the incorporation of the new dissipation into AUSM+‐up scheme and the stratified flow model is simple, accurate and robust enough for the compressible multi‐phase flows. Copyright © 2008 John Wiley & Sons, Ltd.