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Multi-fluid flows with the Particle Finite Element Method

机译:粒子有限元法的多流体流动

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Particle methods are those in which the problem is represented by a discrete number of particles. Each particle moves accordingly with its own mass and the external/internal forces applied on it. In this paper the Particle Finite Element Method based on finite element shape functions is used to solve the continuous fluid mechanics equations in the case of heterogeneous density. To evaluate the external applied forces to each particle, the incompressible Navier-Stokes equations are solved at each time step using a Lagrangian formulation. All the information in the fluid is transmitted via the particles. All kinds of density heterogeneous fluids and multiphase flows with internal interfaces including or not free-surfaces, breaking waves and fluid separations may be easily solved with this methodology.
机译:粒子方法是其中问题由离散数量的粒子表示的方法。每个粒子都以其自身的质量和施加的外/内力相应地运动。本文采用基于有限元形状函数的粒子有限元方法求解非均质密度情况下的连续流体力学方程。为了评估施加到每个粒子的外部力,使用拉格朗日公式在每个时间步求解不可压缩的Navier-Stokes方程。流体中的所有信息都通过粒子传输。带有内部界面的各种密度的非均质流体和多相流,包括或不包括自由表面,破坏波和流体分离,都可以使用这种方法轻松解决。

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