Abstract
Discrete multibody interaction and contact problems and the multiphase interactions such as the sand particles airflow interactions by Aeolian sand transport in the desert are modeled by using the different kernel smoothing lengths in SPH method. Each particle defines a particular kernel smoothing length such as larger smoothing length which is used to calculate continuous homogenous body. Some special smoothing lengths are used to approximate interaction between the discrete particles or objects in contact problems and in different field coupling problem. By introducing the Single Particle Model (SPM) and the Multiparticle Model (MPM), the velocity exchanging phenomena are discussed by using different elastic modules. Some characteristics of the SPM and MPM are evaluated. The results show that the new SPH method can effectively solve different discrete multibody correct contact and multiphase mutual interference problems. Finally, the new SPH numerical computation and simulation process are verified.
Highlights
Smoothed Particle Hydrodynamics (SPH) is a mesh-free Lagrangian method developed in recent years
In Single Particle Model (SPM) and Multiparticle Model (MPM) two objects A and B earlier interact with each other; this may cause some error in interaction for discrete bodies
It is shown that in the SPM the velocity exchange during the impact process is very close to the one in the MPM square model, so from perspective of velocity exchange on impact the single particle shape is close to multiparticle square shape and it represents the perfect inelastic impact phenomenon
Summary
Smoothed Particle Hydrodynamics (SPH) is a mesh-free Lagrangian method developed in recent years. In the mesh-based methods such as Finite Difference Method (FDM), Finite Element Method (FEM), and Boundary Element Method (BEM), because of mesh tangling and distortion it is hard to track gear transmission process, the trajectory tracking of sand particles, and so forth, especially when calculating large deformation and crack propagation In this case computationally extensive remeshing is needed in calculation process, which affects accuracy. In this paper, in order to solve problems such as the discrete sand particles interactions by Aeolian grain transport in the desert, each particle defines a different kernel smoothing length. Larger smoothing lengths are used to calculate continuous homogenous body, and some special smoothing lengths are used to calculate interactions between the discrete particles contact and the different field coupling As a result it can effectively solve different bodies and field mutual interference problems. Results show that the method can be extended to deal with multiphase interactions problems
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