MODELING MERGING AND FRAGMENTATION IN MULTIPHASE FLOWS WITH SURFER
MODELING MERGING AND FRAGMENTATION IN MULTIPHASE FLOWS WITH SURFER
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DOI：
10.1006/jcph.1994.1123
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发表时间：
1994-07-01
影响因子：
4.1
通讯作者：
ZANETTI, G
中科院分区：
文献类型：
--
作者：
LAFAURIE, B;NARDONE, C;ZANETTI, G
本文介绍一种新的数值方法，称为“冲浪”，用于模拟具有多个流体相和它们之间的自由界面的二维和三维流动。我们考虑不可压缩流体服从Navier-Stokes方程与牛顿粘度在每个阶段的大部分。即使在界面合并或破裂时，也要考虑毛细力。使用流体体积算法的精确体积守恒变体在时间上推进流体界面，从而允许流体相之间的完全对称。Navier-Stokes方程求解交错有限差分MAC网格和分裂显式时间差分格式，而不可压缩性是强制使用迭代多重网格泊松求解器。毛细效应表示为从体积分数函数的梯度计算的应力张量。该公式完全独立于接口的拓扑结构，并且相对容易在3D中实现。它还允许精确的动量守恒的离散算法。数值寄生效应或“寄生电流”的注意和类似的效果相比，在玻尔兹曼晶格气方法不混溶流体。示出了液滴对在2D和3D中碰撞的模拟。界面重连很容易进行，尽管在重连过程中毛细作用力的大值。(C)1994年出版社出版。
We introduce a new numerical method, called ''SURFER,'' for the SiMulation of two- and three-dimensional flows with several fluid phases and free interfaces between them. We consider incompressible fluids obeying the Navier-Stokes equation with Newtonian viscosity in the bulk of each phase. Capillary forces are taken into account even when interfaces merge or break up. Fluid interfaces are advanced in time using an exactly volume conserving variant of the volume of fluid algorithm, thus allowing for full symmetry between fluid phases. The Navier-Stokes equation is solved using staggered finite differences on a MAC grid and a split-explicit time differencing scheme, while incompressibility is enforced using an iterative multigrid Poisson solver. Capillary effects are represented as a stress tensor computed from gradients of the volume fraction function. This formulation is completely independent of the topology of interfaces and relatively easy to implement in 3D. It also allows exact momentum conservation in the discretized algorithm. Numerical spurious effects or ''parasite currents'' are noticed and compared to similar effects in Boltzmann lattice gas methods for immiscible fluids. Simulations of droplets pairs colliding in 2D and in 3D are shown. Interface reconnection is performed easily, despite the large value of capillary forces during reconnection. (C) 1994 Academic Press, Inc.