A Consistent Parallel Isotropic Unstructured Mesh Generation Method based on Multi-phase SPH

Abstract

In this paper, we propose a consistent parallel unstructured mesh generator based on a multi-phase SPH method. A set of physics-motivated modeling equations are developed to achieve the targets of domain decomposition, communication volume optimization and high-quality unstructured mesh generation simultaneously. A unified density field is defined as the target function for both partitioning the geometry and distributing the mesh-vertexes. A multi-phase Smoothing Particle Hydrodynamics (SPH) method is employed to solve the governing equations. All the optimization targets are achieved implicitly and consistently by the particle relaxation procedure without constructing triangulation/tetrahedralization explicitly. The target of communication reduction is achieved by introducing a surface tension model between distinct partitioning sub-domains, which are characterized by colored SPH particles. The resulting partitioning diagram features physically localized sub-domains and optimized interface communication. The target of optimizing the mesh quality is achieved by introducing a tailored equation-of-state (EOS) and a smooth isotropic kernel function. The mesh quality near the interface of neighboring sub-domains is improved by gradually removing the surface-tension force once a steady state is achieved. The proposed method is developed basing on a new parallel environment for multi-resolution SPH to exploit both coarse- and fine-grained parallelism. A set of benchmarks are conducted to verify that all the optimization targets are achieved consistently within the current framework.

arXiv comment47 pages 13 figures

References in corpus (2)

• OpenFPM: A scalable open framework for particle and particle-mesh codes on parallel computers
• A Lagrangian Inertial Centroidal Voronoi Particle method for dynamic load balancing in particle-based simulations

Cited by in corpus (5)

• Review on Smoothed Particle Hydrodynamics: Methodology development and recent achievement
• Level-set based pre-processing algorithm for particle-based methods
• A Block-based Adaptive Particle Refinement SPH Method for Fluid-Structure Interaction Problems
• A Feature-aware SPH for Isotropic Unstructured Mesh Generation
• Robust and efficient pre-processing techniques for particle-based methods including dynamic boundary generation