Sharp numerical simulation of incompressible two-phase flows
Sharp numerical simulation of incompressible two-phase flows
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DOI：
10.1016/j.jcp.2019.04.024
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发表时间：
2019-08
期刊：
影响因子：
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通讯作者：
Maxime Theillard;F. Gibou;D. Saintillan
中科院分区：
文献类型：
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作者：
Maxime Theillard;F. Gibou;D. Saintillan
我们提出了一种在两个和三个空间维度上模拟不可压缩不混溶流体的数值方法。它被构造为自适应非分级 Oc/四叉树笛卡尔网格上的改进压力校正投影方法，使用水平集框架来捕获两种流体之间的移动界面。对界面位置、流体参数不连续性和界面跳跃条件的锐利处理确保了 L∞ 范数的收敛。使用一种新颖的压力猜测结构，我们能够减轻毛细管力引起的标准时间步长限制。该求解器经过数值验证，并用于模拟物理相关问题的动力学，例如电场中上升的气泡和粘性液滴。
We present a numerical method for simulating incompressible immiscible fluids, in two and three spatial dimensions. It is constructed as a modified pressure correction projection method on adaptive non-graded Oc/Quadtree Cartesian grids, using the level-set framework to capture the moving interface between the two fluids. The sharp treatment of the interface position, of the fluid parameter discontinuities, and of the interfacial jump conditions ensures convergence in the L∞-norm. Using a novel construction for the pressure guess, we are able to alleviate the standard time step restriction incurred by capillary forces. The solver is validated numerically and employed to simulate the dynamics of physically relevant problems such as rising bubbles and viscous droplets in electric fields.