A preconditioned Navier–Stokes method for two-phase flows with application to cavitation prediction
A preconditioned Navier–Stokes method for two-phase flows with application to cavitation prediction
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DOI：
10.1016/s0045-7930(99)00039-0
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发表时间：
2000-08
影响因子：
2.8
通讯作者：
R. Kunz;D. Boger;D. R. Stinebring;T. Chyczewski;J. Lindau;H. Gibeling;S. Venkateswaran;T. Govindan-T.-Govin
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文献类型：
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作者：
R. Kunz;D. Boger;D. R. Stinebring;T. Chyczewski;J. Lindau;H. Gibeling;S. Venkateswaran;T. Govindan-T.-Govin
本文提出了一种计算粘性两相流的隐式算法。基本微分方程组是多相Navier-Stokes方程组，包括混合物体积、混合物动量和组分体积分数方程。虽然进一步的推广是直截了当的，但这里追求的是三种物质的配方，它分别考虑了液体和蒸汽（交换质量）以及不可冷凝的气体场。这里开发的隐式方法采用双时间，预处理，三维算法，多块和并行执行能力。时间导数的预处理，以确保良好的条件下的特征值，这是非常重要的计算效率的方法。特别注意，以确保所得到的本征系统是独立的密度比和局部体积分数，这使得该计划非常适合于高密度比，相分离的双流体流动特性的许多空化和沸腾系统。为了证明该计划的能力，几个二维和三维的例子。
An implicit algorithm for the computation of viscous two-phase flows is presented in this paper. The baseline differential equation system is the multi-phase Navier–Stokes equations, comprised of the mixture volume, mixture momentum and constituent volume fraction equations. Though further generalization is straightforward, a three-species formulation is pursued here, which separately accounts for the liquid and vapor (which exchange mass) as well as a non-condensable gas field. The implicit method developed here employs a dual-time, preconditioned, three-dimensional algorithm, with multi-block and parallel execution capabilities. Time-derivative preconditioning is employed to ensure well-conditioned eigenvalues, which is important for the computational efficiency of the method. Special care is taken to ensure that the resulting eigensystem is independent of the density ratio and the local volume fraction, which renders the scheme well-suited to high density ratio, phase-separated two-fluid flows characteristic of many cavitating and boiling systems. To demonstrate the capabilities of the scheme, several two- and three-dimensional examples are presented.