Phase-field formulation of a fictitious domain method for particulate flows interacting with complex and evolving geometries,International Journal for Numerical Methods in Fluids

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Phase-field formulation of a fictitious domain method for particulate flows interacting with complex and evolving geometries
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2021-03-31 , DOI: 10.1002/fld.4984
Martin Reder _{1,

2} , Daniel Schneider _{1,

2} , Fei Wang ₂ , Simon Daubner ₂ , Britta Nestler _{1,

2}

Affiliation

A distributed Lagrange multiplier/fictitious domain method in a phase-field formulation for the simulation of rigid bodies in incompressible fluid flow is presented. The phase-field method yields an implicit representation of geometries and thus rigid body particulate flows within arbitrary geometries can be simulated based on a fixed Cartesian grid. Therefore, a phase-field based collision model is introduced in order to address contact of particles with arbitrary solid structures as boundaries. In addition, grain growth within the boundary geometry can be considered leading to changes in its shape during the simulation. The method is validated on benchmark problems and a convergence study is performed. Multiple numerical experiments are carried out in order to show the methods' capability to simulate problems with differently shaped rigid bodies and particulate flows involving complex boundary geometries like foam structures.

中文翻译：

粒子流与复杂和不断变化的几何形状相互作用的虚拟域方法的相场公式

提出了一种用于模拟不可压缩流体流动中刚体的相场公式中的分布式拉格朗日乘子/虚拟域方法。相场方法产生几何图形的隐式表示，因此可以基于固定的笛卡尔网格模拟任意几何图形中的刚体颗粒流。因此，引入了基于相场的碰撞模型，以解决粒子与任意固体结构作为边界的接触问题。此外，可以考虑边界几何形状内的晶粒生长导致其形状在模拟过程中发生变化。该方法在基准问题上得到验证，并进行了收敛研究。进行了多次数值实验以证明该方法的

更新日期：2021-03-31

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