Momentum‐based approximation of incompressible multiphase fluid flows
Momentum‐based approximation of incompressible multiphase fluid flows
复制标题
不可压缩多相流体流动的基于动量的近似
DOI：
10.1002/fld.4467
复制
发表时间：
2018
影响因子：
1.8
通讯作者：
C. Nore
中科院分区：
文献类型：
--
作者：
L. Cappanera;J. Guermond;W. Herreman;C. Nore
我们引入了一种使用动量作为因变量的时间步进技术来解决不可压缩的多相问题。这种方法的主要优点是质量矩阵与时间无关，使得该技术适用于光谱方法。应用水平集方法来重建流体属性，例如密度。我们还引入了一种使用熵粘度技术和压缩技术来限制水平集函数平坦化的稳定方法。我们通过耦合不可压缩纳维-斯托克斯和麦克斯韦方程将我们的算法扩展到不混溶导电流体。我们根据分析和制造的解决方案验证了所提出的算法。提供了诸如牛顿桶问题及其变体等测试用例的结果。在涉及气泡的基准问题上测试了表面张力效应。本文最后介绍了与铝工业生产相关的现象的数值模拟。
We introduce a time stepping technique using the momentum as dependent variable to solve incompressible multiphase problems. The main advantage of this approach is that the mass matrix is time‐independent making this technique suitable for spectral methods. A level set method is applied to reconstruct the fluid properties such as density. We also introduce a stabilization method using an entropy‐viscosity technique and a compression technique to limit the flattening of the level set function. We extend our algorithm to immiscible conducting fluids by coupling the incompressible Navier‐Stokes and the Maxwell equations. We validate the proposed algorithm against analytical and manufactured solutions. Results on test cases such as Newton's bucket problem and a variation thereof are provided. Surface tension effects are tested on benchmark problems involving bubbles. A numerical simulation of a phenomenon related to the industrial production of aluminium is presented at the end of the paper.