A path-conservative method for a five-equation model of two-phase flow with an HLLC-type Riemann solver
A path-conservative method for a five-equation model of two-phase flow with an HLLC-type Riemann solver
复制标题
HLLC型黎曼求解器两相流五方程模型的路径保守方法
DOI：
10.1016/j.compfluid.2011.01.038
复制
发表时间：
2011-07
影响因子：
2.8
通讯作者：
中科院分区：
文献类型：
--
作者：
可压缩多相流存在于各种科学和工程问题中。准确、高效的多相流数值模拟算法的发展一直是计算流体力学领域的一个挑战性问题。多相流数值方法的一个主要困难是模型方程不能总是以保守形式写出，尽管它们可以是双曲线的并且是从物理守恒原理导出的。本文在双曲模型的假设下，发展了一种路径守恒方法来处理方程的非保守性。该方法适用于解决五方程模型的Saurel和Abgrall的两相流。作为工作的另一个贡献，提出了一个简化的HLLC型近似Riemann求解器来计算Godnov态，并将其纳入Godnov型路径保守方法。二阶，半离散版本的方法，然后通过一个MUSCL重建龙格库塔时间步进。此外，该方法然后扩展到二维情况下，通过定向分裂。通过一系列具有精确解的测试问题对该方法进行了系统的评估，得到了令人满意的结果。
Compressible multi-phase flows are found in a variety of scientific and engineering problems. The development of accurate and efficient numerical algorithms for multi-phase flow simulations remains one of the challenging issues in computational fluid dynamics. A main difficulty of numerical methods for multi-phase flows is that the model equations cannot always be written in conservative form, though they may be hyperbolic and derived from physical conservation principles. In this work, assuming a hyperbolic model, a path-conservative method is developed to deal with the non-conservative character of the equations. The method is applied to solve the five-equation model of Saurel and Abgrall for two-phase flow. As another contribution of the work, a simplified HLLC-type approximate Riemann solver is proposed to compute the Godunov state to be incorporated into the Godunov-type path-conservative method. A second order, semi-discrete version of the method is then constructed via a MUSCL reconstruction with Runge–Kutta time stepping. Moreover, the method is then extended to the two-dimensional case by directional splitting. The method is systematically assessed via a series of test problems with exact solutions, finding satisfactory results.
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DOI：
10.1016/0301-9322(76)90008-2
发表时间：
1975
期刊：
--
影响因子：
--
作者：
M. Ishii
通讯作者：
M. Ishii
影响因子：
2.2
作者：
E. Toro;M. Spruce;W. Speares
通讯作者：
E. Toro;M. Spruce;W. Speares
影响因子：
3
作者：
JIN, S;XIN, ZP
通讯作者：
XIN, ZP
影响因子：
4
作者：
D. Drew;S. Passman
通讯作者：
D. Drew;S. Passman
影响因子：
2.9
作者：
C. Parés
通讯作者：
C. Parés