Smoothed Particle Hydrodynamics Method with Unstructured Mesh Boundary Condition
Date Issued
2011
Date
2011
Author(s)
Tseng, Wei-Yi
Abstract
This thesis is about combining unstructured mesh boundary method into Smoothed Particle Hydrodynamics Method. Smoothed Particle Hydrodynamics Method, also known as SPH, is a mesh-less method of fluid dynamics methods. It has been researched for over 30 years, and there is a open-resources program that uses SPH, SPHysics. Therefore we choose to use SPH as our researching tools. SPH uses conservation laws as its governing equations. As a particle method, SPH uses a set of discrete particles to define the model, and then use a kernel function to approximate continuity. This way of dealing question is easy to model fluid domains. But also because the disadvantages of kernel functions, SPH can not deal with boundary problems well. Nowadays boundary methods are based on particle boundary methods. Particle boundaries may have intervals between boundary particles. This may cause fluid particles pass through the boundaries. Therefore we bring out this ideal of using unstructured mesh boundaries into SPH. We use particles to represent fluid, but use unstructured meshes on the boundaries. Combining the ideal of boundary repulsive force method and kernel function, we use unstructured meshes to record the size and normal vector of meshes. With this thought, we hope to improve the boundary problem in SPH, and let SPH can be applied to more far-reaching models.
Subjects
SPH
Smoothed Particle Hydrodynamics Method
SPHysics
MeshFree Method
Particle Method
Boundary Method
Unstructured Mesh Boundary
Type
thesis
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