A NUMERICAL METHOD FOR THE SIMULATION OF FREE SURFACE FLOWS OF VISCOPLASTIC FLUID IN 3D
A NUMERICAL METHOD FOR THE SIMULATION OF FREE SURFACE FLOWS OF VISCOPLASTIC FLUID IN 3D
复制标题
3D 粘塑性流体自由表面流动数值模拟方法
DOI：
10.4208/jcm.1109-m11si01
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发表时间：
2011
影响因子：
0.9
通讯作者：
Y. Vassilevski
中科院分区：
文献类型：
--
作者：
K. Nikitin;M. Olshanskii;K. Terekhov;Y. Vassilevski
本文研究了粘塑性（Herschel-Bulkley）流体自由表面流动的数值模拟方法。该方法基于捕捉自由曲面演化的水平集方法和局部命名和动态适应的八叉树笛卡尔交错网格来离散流体和水平集方程。采用正则化模型处理本构关系的不可微性。我们考虑了在交错网格上牛顿流方程的稳定近似的扩展，以近似黏塑性模型和水平集方程，如果自由边界发生变化，网格被动态重划或粗化。首先在牛顿情况下对数值方法进行了验证。在这种情况下，当网格重新划分时，可以观察到数值解对实验数据的收敛性。此外，我们还计算了斜面上的几个三维粘塑性Herschel-Bulkley流体流
In this paper we study a numerical method for the simulation of free surface ows of viscoplastic (Herschel-Bulkley) uids. The approach is based on the level set method for capturing the free surface evolution and on locally rened and dynamically adapted octree cartesian staggered grids for the discretization of uid and level set equations. A regularized model is applied to handle the non-dierentiabil ity of the constitutive relations. We consider an extension of the stable approximation of the Newtonian ow equations on staggered grid to approximate the viscoplastic model and level-set equations if the free boundary evolves and the mesh is dynamically rened or coarsened. The numerical method is rst validated for a Newtonian case. In this case, the convergence of numerical solutions is observed towards experimental data when the mesh is rened. Further we compute several 3D viscoplastic Herschel-Bulkley uid ows over incline planes for the